JP5220060B2 - Electromagnetic wave measuring apparatus, measuring method, program, recording medium - Google Patents

Electromagnetic wave measuring apparatus, measuring method, program, recording medium Download PDF

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JP5220060B2
JP5220060B2 JP2010126914A JP2010126914A JP5220060B2 JP 5220060 B2 JP5220060 B2 JP 5220060B2 JP 2010126914 A JP2010126914 A JP 2010126914A JP 2010126914 A JP2010126914 A JP 2010126914A JP 5220060 B2 JP5220060 B2 JP 5220060B2
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英志 加藤
繁樹 西名
元規 今村
昭好 入澤
友勇 山下
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本発明は、電磁波(周波数が0.01[THz]以上100[THz]以下)(例えば、テラヘルツ波(例えば、周波数が0.03[THz]以上10[THz]以下))を使用した断層撮影に関する。   The present invention relates to tomography using electromagnetic waves (frequency is 0.01 [THz] or more and 100 [THz] or less) (for example, terahertz wave (for example, frequency is 0.03 [THz] or more and 10 [THz] or less)).

従来より、被測定物の断層情報を得る方法としてコンピュータ断層撮影(Computed Tomography: CT)法がある。X線の発生器と検出器を用いて、この方法を実行することをX線CTという。X線CTによれば、人体の断層情報を非破壊かつ非接触で得ることができる。   Conventionally, there is a computed tomography (CT) method as a method for obtaining tomographic information of an object to be measured. Executing this method using an X-ray generator and detector is called X-ray CT. According to the X-ray CT, the tomographic information of the human body can be obtained non-destructively and non-contactingly.

しかし、半導体、プラスチック、セラミック、木材および紙など(以下、「原材料」という)から構成される工業製品の内部状態(例えば、欠陥や歪み)を検出することは、X線CTによれば困難である。X線が、あらゆる物質に対して透過性が高いためである。   However, it is difficult to detect the internal state (for example, defects and distortions) of industrial products composed of semiconductors, plastics, ceramics, wood and paper (hereinafter referred to as “raw materials”) by X-ray CT. is there. This is because X-rays are highly permeable to all substances.

一方、テラヘルツ波(例えば、周波数が0.03[THz]以上10[THz]以下)は、先に述べた工業製品の原材料をほどよく透過する。このため、テラヘルツ波の発生器と検出器を用いて、CT法を実行すれば(以下、「テラヘルツ波CT法」という)工業製品の内部状態を検出できる。テラヘルツ波CT法については、特許文献1、特許文献2、非特許文献1に記載がある。   On the other hand, a terahertz wave (for example, a frequency of 0.03 [THz] or more and 10 [THz] or less) penetrates the above-described raw materials of industrial products reasonably. For this reason, if the CT method is executed using a terahertz wave generator and detector (hereinafter referred to as “terahertz wave CT method”), the internal state of the industrial product can be detected. The terahertz wave CT method is described in Patent Document 1, Patent Document 2, and Non-Patent Document 1.

なお、CT法は、被測定物に与えたX線などがどの程度吸収されたか(吸収率)に基づき断層撮影を行うものである。   The CT method performs tomography based on how much X-rays or the like given to the object to be measured are absorbed (absorption rate).

米国特許第7119339号明細書US Pat. No. 7,119,339 特許第3828111号明細書Japanese Patent No. 3828111 S. Wang et al., “Pulsed terahertz tomography,”J. Phys. D, Vol 37 (2004) R1-R36S. Wang et al., “Pulsed terahertz tomography,” J. Phys. D, Vol 37 (2004) R1-R36

しかしながら、被測定物の種類によっては、吸収率による断層撮影では測定が困難な場合も考えられる。   However, depending on the type of object to be measured, it may be difficult to measure by tomography using the absorption rate.

そこで、本発明は、吸収率以外の他のパラメータに基づきCT法を行うことを課題とする。   Then, this invention makes it a subject to perform CT method based on parameters other than absorptance.

本発明にかかる電磁波測定装置は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部と、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出部と、前記位相導出部の導出結果に基づき、サイノグラムを導出するサイノグラム導出部と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出部と、前記位相導出部の導出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における分散を導出する分散導出部と、を備え、前記サイノグラム導出部が、前記分散についてのサイノグラムを導出するように構成される。   An electromagnetic wave measuring apparatus according to the present invention detects an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward the object to be measured, and the electromagnetic wave that has passed through the object to be measured. An electromagnetic wave detector; a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the object to be measured intersects the object to be measured; and detection by the electromagnetic wave detector Based on the result, a phase deriving unit for deriving a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured, a sinogram deriving unit for deriving a sinogram based on the deriving result of the phase deriving unit, and based on the sinogram, An image deriving unit for deriving an image of a cross section of the object to be measured including the intersecting portion, and a frequency region of the electromagnetic wave transmitted through the object to be measured based on a deriving result of the phase deriving unit And a dispersion deriving unit that derives the definitive dispersion, the sinogram deriving unit is configured to derive a sinogram for the dispersion.

上記のように構成された電磁波測定装置によれば、電磁波出力器が、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する。電磁波検出器が、前記被測定物を透過した前記電磁波を検出する。相対位置変化部が、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる。位相導出部が、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する。サイノグラム導出部が、前記位相導出部の導出結果に基づき、サイノグラムを導出する。画像導出部が、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する。分散導出部が、前記位相導出部の導出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における分散を導出する。前記サイノグラム導出部が、前記分散についてのサイノグラムを導出する。   According to the electromagnetic wave measuring apparatus configured as described above, the electromagnetic wave output device outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward the object to be measured. An electromagnetic wave detector detects the electromagnetic wave transmitted through the object to be measured. The relative position changing unit changes the relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object intersects the measurement object with respect to the measurement object. A phase deriving unit derives a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured based on the detection result of the electromagnetic wave detector. The sinogram derivation unit derives a sinogram based on the derivation result of the phase derivation unit. An image deriving unit derives an image of a cross section of the object to be measured including the intersecting portion based on the sinogram. A dispersion deriving unit derives dispersion in the frequency domain of the electromagnetic wave that has passed through the device under test based on the deriving result of the phase deriving unit. The sinogram deriving unit derives a sinogram for the variance.

本発明にかかる電磁波測定装置は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部と、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出部と、前記位相導出部の導出結果に基づき、サイノグラムを導出するサイノグラム導出部と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出部と、を備え、前記被測定物は、第一被測定物と、第二被測定物とを有し、前記電磁波測定装置が、前記位相導出部の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出部を備え、前記サイノグラム導出部が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物と前記第二被測定物との屈折率差についてのサイノグラムを導出するように構成される。   An electromagnetic wave measuring apparatus according to the present invention detects an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward the object to be measured, and the electromagnetic wave that has passed through the object to be measured. An electromagnetic wave detector; a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the object to be measured intersects the object to be measured; and detection by the electromagnetic wave detector Based on the result, a phase deriving unit for deriving a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured, a sinogram deriving unit for deriving a sinogram based on the deriving result of the phase deriving unit, and based on the sinogram, An image deriving unit for deriving an image of a cross section of the object to be measured including the intersecting portion, and the object to be measured includes a first object to be measured and a second object to be measured, and the electromagnetic wave measurement Dress Based on the derivation result of the phase deriving unit, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test A group delay deriving unit for deriving the second group delay, wherein the sinogram deriving unit determines the first measured object and the second group based on the difference between the first group delay and the second group delay. A sinogram for the refractive index difference from the object to be measured is derived.

上記のように構成された電磁波測定装置によれば、電磁波出力器と、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する。電磁波検出器が、前記被測定物を透過した前記電磁波を検出する。相対位置変化部が、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる。位相導出部が、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する。サイノグラム導出部が、前記位相導出部の導出結果に基づき、サイノグラムを導出する。画像導出部が、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する。前記被測定物は、第一被測定物と、第二被測定物とを有する。前記電磁波測定装置が、前記位相導出部の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出部を備える。前記サイノグラム導出部が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物と前記第二被測定物との屈折率差についてのサイノグラムを導出する。   According to the electromagnetic wave measuring apparatus configured as described above, an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less is output toward the electromagnetic wave output device and the measurement object. An electromagnetic wave detector detects the electromagnetic wave transmitted through the object to be measured. The relative position changing unit changes the relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object intersects the measurement object with respect to the measurement object. A phase deriving unit derives a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured based on the detection result of the electromagnetic wave detector. The sinogram derivation unit derives a sinogram based on the derivation result of the phase derivation unit. An image deriving unit derives an image of a cross section of the object to be measured including the intersecting portion based on the sinogram. The object to be measured includes a first object to be measured and a second object to be measured. Based on the derivation result of the phase deriving unit, the electromagnetic wave measuring device has a first group delay in the frequency region of the electromagnetic wave that has passed through the first object to be measured, and a frequency of the electromagnetic wave that has passed through the second object to be measured. A group delay deriving unit for deriving a second group delay that is a group delay in the region is provided. The sinogram deriving unit derives a sinogram for a difference in refractive index between the first device to be measured and the second device to be measured based on a difference between the first group delay and the second group delay.

なお、本発明にかかる電磁波測定装置は、前記第二被測定物の屈折率が既知であり、前記サイノグラム導出部が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物の屈折率についてのサイノグラムを導出するようにしてもよい。   In the electromagnetic wave measurement apparatus according to the present invention, the refractive index of the second object to be measured is known, and the sinogram derivation unit is configured to determine the first group delay based on the difference between the first group delay and the second group delay. You may make it derive | lead-out the sinogram about the refractive index of one to-be-measured object.

本発明にかかる電磁波測定装置は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部と、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出部と、前記位相導出部の導出結果に基づき、サイノグラムを導出するサイノグラム導出部と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出部と、を備え、前記被測定物は、第一被測定物と、第二被測定物とを有し、前記電磁波測定装置が、前記位相導出部の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出部を備え、前記サイノグラム導出部が、前記第一群遅延に基づく第一サイノグラムおよび前記第二群遅延に基づく第二サイノグラムを導出し、前記画像導出部が、前記第一サイノグラムに基づく前記第一被測定物の断面の画像および前記第二サイノグラムに基づく前記第二被測定物の断面の画像を導出し、前記第一被測定物の断面の画像および前記第二被測定物の断面の画像の差分として、前記第一被測定物と前記第二被測定物との群遅延差を示す画像を導出するように構成される。   An electromagnetic wave measuring apparatus according to the present invention detects an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward the object to be measured, and the electromagnetic wave that has passed through the object to be measured. An electromagnetic wave detector; a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the object to be measured intersects the object to be measured; and detection by the electromagnetic wave detector Based on the result, a phase deriving unit for deriving a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured, a sinogram deriving unit for deriving a sinogram based on the deriving result of the phase deriving unit, and based on the sinogram, An image deriving unit for deriving an image of a cross section of the object to be measured including the intersecting portion, and the object to be measured includes a first object to be measured and a second object to be measured, and the electromagnetic wave measurement Dress Based on the derivation result of the phase deriving unit, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test A group delay deriving unit for deriving the second group delay, wherein the sinogram deriving unit derives a first sinogram based on the first group delay and a second sinogram based on the second group delay, and the image A deriving unit for deriving an image of a cross section of the first object to be measured based on the first sinogram and an image of a cross section of the second object to be measured based on the second sinogram; As a difference between the image and the cross-sectional image of the second device under test, an image showing a group delay difference between the first device under test and the second device under test is derived.

上記のように構成された電磁波測定装置によれば、電磁波出力器が、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する。電磁波検出器が、前記被測定物を透過した前記電磁波を検出する。相対位置変化部が、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる。位相導出部が、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する。サイノグラム導出部が、前記位相導出部の導出結果に基づき、サイノグラムを導出する。画像導出部が、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する。前記被測定物は、第一被測定物と、第二被測定物とを有する。前記電磁波測定装置が、前記位相導出部の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出部を備える。前記サイノグラム導出部が、前記第一群遅延に基づく第一サイノグラムおよび前記第二群遅延に基づく第二サイノグラムを導出する。前記画像導出部が、前記第一サイノグラムに基づく前記第一被測定物の断面の画像および前記第二サイノグラムに基づく前記第二被測定物の断面の画像を導出し、前記第一被測定物の断面の画像および前記第二被測定物の断面の画像の差分として、前記第一被測定物と前記第二被測定物との群遅延差を示す画像を導出する。   According to the electromagnetic wave measuring apparatus configured as described above, the electromagnetic wave output device outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward the object to be measured. An electromagnetic wave detector detects the electromagnetic wave transmitted through the object to be measured. The relative position changing unit changes the relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object intersects the measurement object with respect to the measurement object. A phase deriving unit derives a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured based on the detection result of the electromagnetic wave detector. The sinogram derivation unit derives a sinogram based on the derivation result of the phase derivation unit. An image deriving unit derives an image of a cross section of the object to be measured including the intersecting portion based on the sinogram. The object to be measured includes a first object to be measured and a second object to be measured. Based on the derivation result of the phase deriving unit, the electromagnetic wave measuring device has a first group delay in the frequency region of the electromagnetic wave that has passed through the first object to be measured, and a frequency of the electromagnetic wave that has passed through the second object to be measured. A group delay deriving unit for deriving a second group delay that is a group delay in the region is provided. The sinogram deriving unit derives a first sinogram based on the first group delay and a second sinogram based on the second group delay. The image deriving unit derives an image of a cross section of the first object to be measured based on the first sinogram and an image of a cross section of the second object to be measured based on the second sinogram; As a difference between the cross-sectional image and the cross-sectional image of the second device under test, an image showing the group delay difference between the first device under test and the second device under test is derived.

本発明は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定方法であって、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出工程と、前記位相導出工程の導出結果に基づき、サイノグラムを導出するサイノグラム導出工程と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出工程と、前記位相導出工程の導出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における分散を導出する分散導出工程と、を備え、前記サイノグラム導出工程が、前記分散についてのサイノグラムを導出する測定方法である。   The present invention provides an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured; an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured; A measurement method using an electromagnetic wave measuring apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measured object intersects the measured object with respect to the measured object. A phase deriving step for deriving a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured based on a detection result of the electromagnetic wave detector, and a sinogram for deriving a sinogram based on the deriving result of the phase deriving step A derivation step, an image derivation step for deriving an image of a cross section of the object to be measured including the intersecting portion based on the sinogram, and the measurement target based on a derivation result of the phase derivation step And a dispersion deriving step of deriving the variance in the frequency region of the electromagnetic wave transmitted through the sinogram deriving step is a measurement method for deriving a sinogram for the dispersion.

本発明は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定方法であって、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出工程と、前記位相導出工程の導出結果に基づき、サイノグラムを導出するサイノグラム導出工程と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出工程と、を備えた測定方法であって、前記被測定物は、第一被測定物と、第二被測定物とを有し、前記測定方法が、前記位相導出工程の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出工程を備え、前記サイノグラム導出工程が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物と前記第二被測定物との屈折率差についてのサイノグラムを導出する、測定方法である。   The present invention provides an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured; an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured; A measurement method using an electromagnetic wave measuring apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measured object intersects the measured object with respect to the measured object. A phase deriving step for deriving a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured based on a detection result of the electromagnetic wave detector, and a sinogram for deriving a sinogram based on the deriving result of the phase deriving step A measurement method comprising: a deriving step; and an image deriving step for deriving an image of a cross section of the object to be measured including the intersection based on the sinogram, wherein the object to be measured is a first A first object delay in a frequency domain of the electromagnetic wave transmitted through the first object to be measured, based on a result of the phase derivation step, A group delay deriving step for deriving a second group delay which is a group delay in the frequency domain of the electromagnetic wave transmitted through the second object to be measured, wherein the sinogram deriving step includes the first group delay and the second group This is a measurement method for deriving a sinogram for a refractive index difference between the first device under test and the second device under test based on a difference from a delay.

本発明は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定方法であって、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出工程と、前記位相導出工程の導出結果に基づき、サイノグラムを導出するサイノグラム導出工程と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出工程と、を備えた測定方法であって、前記被測定物は、第一被測定物と、第二被測定物とを有し、前記測定方法が、前記位相導出工程の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出工程を備え、前記サイノグラム導出工程が、前記第一群遅延に基づく第一サイノグラムおよび前記第二群遅延に基づく第二サイノグラムを導出し、前記画像導出工程が、前記第一サイノグラムに基づく前記第一被測定物の断面の画像および前記第二サイノグラムに基づく前記第二被測定物の断面の画像を導出し、前記第一被測定物の断面の画像および前記第二被測定物の断面の画像の差分として、前記第一被測定物と前記第二被測定物との群遅延差を示す画像を導出する、測定方法である。   The present invention provides an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured; an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured; A measurement method using an electromagnetic wave measuring apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measured object intersects the measured object with respect to the measured object. A phase deriving step for deriving a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured based on a detection result of the electromagnetic wave detector, and a sinogram for deriving a sinogram based on the deriving result of the phase deriving step A measurement method comprising: a deriving step; and an image deriving step for deriving an image of a cross section of the object to be measured including the intersection based on the sinogram, wherein the object to be measured is a first A first object delay in a frequency domain of the electromagnetic wave transmitted through the first object to be measured, based on a result of the phase derivation step, A group delay deriving step for deriving a second group delay that is a group delay in the frequency domain of the electromagnetic wave that has passed through the second object to be measured, and the sinogram deriving step includes a first sinogram based on the first group delay And a second sinogram based on the second group delay, wherein the image deriving step includes an image of a cross section of the first object to be measured based on the first sinogram and the second object to be measured based on the second sinogram. A group delay between the first object to be measured and the second object to be measured is obtained as a difference between the image of the cross section of the first object to be measured and the image of the cross section of the second object to be measured. Image showing difference Is a measurement method for deriving

本発明は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムであって、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、前記位相導出処理の導出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における分散を導出する分散導出処理と、をコンピュータに実行させるためのプログラムであり、前記サイノグラム導出処理が、前記分散についてのサイノグラムを導出するプログラムである。   The present invention provides an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured; an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured; A measurement process using an electromagnetic wave measurement apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object and the measurement object intersects the measurement object. A program for causing a computer to execute, based on a detection result of the electromagnetic wave detector, a phase derivation process for deriving a phase in a frequency domain of the electromagnetic wave transmitted through the object to be measured, and a derivation result of the phase derivation process A sinogram derivation process for deriving a sinogram, an image derivation process for deriving an image of a cross section of the object to be measured including the intersection based on the sinogram, A program for causing a computer to execute a dispersion derivation process for deriving a dispersion in the frequency domain of the electromagnetic wave that has passed through the object to be measured based on a derivation result of the phase derivation process, wherein the sinogram derivation process is the dispersion Is a program to derive a sinogram for.

本発明は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムであって、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、をコンピュータに実行させるためのプログラムであって、前記被測定物は、第一被測定物と、第二被測定物とを有し、前記位相導出処理の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出処理をさらにコンピュータに実行させるためのプログラムであり、前記サイノグラム導出処理が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物と前記第二被測定物との屈折率差についてのサイノグラムを導出するプログラムである。   The present invention provides an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured; an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured; A measurement process using an electromagnetic wave measurement apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object and the measurement object intersects the measurement object. A program for causing a computer to execute, based on a detection result of the electromagnetic wave detector, a phase derivation process for deriving a phase in a frequency domain of the electromagnetic wave transmitted through the object to be measured, and a derivation result of the phase derivation process A sinogram deriving process for deriving a sinogram based on the image, and an image deriving process for deriving an image of a cross section of the object including the intersection based on the sinogram. A program for causing a computer to execute the measurement object, wherein the measurement object includes a first measurement object and a second measurement object, and the first measurement object is based on a derivation result of the phase derivation process. A group delay deriving process for deriving a first group delay in the frequency domain of the electromagnetic wave that has passed through and a second group delay that is a group delay in the frequency domain of the electromagnetic wave that has passed through the second device under test; The sinogram derivation process is a program for causing the difference in refractive index between the first object to be measured and the second object to be measured based on the difference between the first group delay and the second group delay. This is a program for deriving a sinogram.

本発明は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムであって、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、をコンピュータに実行させるためのプログラムであって、前記被測定物は、第一被測定物と、第二被測定物とを有し、前記位相導出処理の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出処理をさらにコンピュータに実行させるためのプログラムであり、前記サイノグラム導出処理が、前記第一群遅延に基づく第一サイノグラムおよび前記第二群遅延に基づく第二サイノグラムを導出し、前記画像導出処理が、前記第一サイノグラムに基づく前記第一被測定物の断面の画像および前記第二サイノグラムに基づく前記第二被測定物の断面の画像を導出し、前記第一被測定物の断面の画像および前記第二被測定物の断面の画像の差分として、前記第一被測定物と前記第二被測定物との群遅延差を示す画像を導出するプログラムである。   The present invention provides an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured; an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured; A measurement process using an electromagnetic wave measurement apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object and the measurement object intersects the measurement object. A program for causing a computer to execute, based on a detection result of the electromagnetic wave detector, a phase derivation process for deriving a phase in a frequency domain of the electromagnetic wave transmitted through the object to be measured, and a derivation result of the phase derivation process A sinogram deriving process for deriving a sinogram based on the image, and an image deriving process for deriving an image of a cross section of the object including the intersection based on the sinogram. A program for causing a computer to execute the measurement object, wherein the measurement object includes a first measurement object and a second measurement object, and the first measurement object is based on a derivation result of the phase derivation process. A group delay deriving process for deriving a first group delay in the frequency domain of the electromagnetic wave that has passed through and a second group delay that is a group delay in the frequency domain of the electromagnetic wave that has passed through the second device under test; The sinogram derivation process derives a first sinogram based on the first group delay and a second sinogram based on the second group delay, and the image derivation process is performed on the first sinogram. A cross-sectional image of the first device under test based on the second sinogram and a cross-sectional image of the first device under test based on the second sinogram. And a program for deriving an image showing a group delay difference between the first device to be measured and the second device to be measured as a difference between images of a cross section of the second device to be measured.

本発明は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、前記位相導出処理の導出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における分散を導出する分散導出処理とをコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であり、前記サイノグラム導出処理が、前記分散についてのサイノグラムを導出する記録媒体である。   The present invention provides an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured; an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured; A measurement process using an electromagnetic wave measurement apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object and the measurement object intersects the measurement object. A computer-readable recording medium storing a program for causing a computer to execute, wherein the phase derivation derives a phase in a frequency domain of the electromagnetic wave transmitted through the object to be measured based on a detection result of the electromagnetic wave detector Processing, sinogram derivation processing for deriving a sinogram based on the derivation result of the phase derivation processing, and before including the intersection portion based on the sinogram An image deriving process for deriving a cross-sectional image of the object to be measured and a dispersion deriving process for deriving the dispersion in the frequency domain of the electromagnetic wave that has passed through the object to be measured based on the deriving result of the phase deriving process A computer-readable recording medium having a program recorded thereon, and the sinogram deriving process is a recording medium for deriving a sinogram for the dispersion.

本発明は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、前記被測定物は、第一被測定物と、第二被測定物とを有し、前記位相導出処理の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出処理をさらにコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であり、前記サイノグラム導出処理が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物と前記第二被測定物との屈折率差についてのサイノグラムを導出する記録媒体である。   The present invention provides an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured; an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured; A measurement process using an electromagnetic wave measurement apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object and the measurement object intersects the measurement object. A computer-readable recording medium storing a program for causing a computer to execute, wherein the phase derivation derives a phase in a frequency domain of the electromagnetic wave transmitted through the object to be measured based on a detection result of the electromagnetic wave detector Processing, sinogram derivation processing for deriving a sinogram based on the derivation result of the phase derivation processing, and before including the intersection portion based on the sinogram An image deriving process for deriving an image of a cross section of an object to be measured, and a computer-readable recording medium recording a program for causing a computer to execute the object, the object to be measured includes a first object to be measured, A second device under test, and based on the derivation result of the phase derivation process, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the second device under test transmitted A computer-readable recording medium that records a program for causing a computer to further execute a group delay derivation process for deriving a second group delay that is a group delay in the frequency domain of the electromagnetic wave, and the sinogram derivation process, A sinogram of the difference in refractive index between the first device to be measured and the second device to be measured based on the difference between the first group delay and the second group delay. Is a recording medium for deriving.

本発明は、被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、前記被測定物は、第一被測定物と、第二被測定物とを有し、前記位相導出処理の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出処理をさらにコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であり、前記サイノグラム導出処理が、前記第一群遅延に基づく第一サイノグラムおよび前記第二群遅延に基づく第二サイノグラムを導出し、前記画像導出処理が、前記第一サイノグラムに基づく前記第一被測定物の断面の画像および前記第二サイノグラムに基づく前記第二被測定物の断面の画像を導出し、前記第一被測定物の断面の画像および前記第二被測定物の断面の画像の差分として、前記第一被測定物と前記第二被測定物との群遅延差を示す画像を導出する記録媒体である。   The present invention provides an electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured; an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured; A measurement process using an electromagnetic wave measurement apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object and the measurement object intersects the measurement object. A computer-readable recording medium storing a program for causing a computer to execute, wherein the phase derivation derives a phase in a frequency domain of the electromagnetic wave transmitted through the object to be measured based on a detection result of the electromagnetic wave detector Processing, sinogram derivation processing for deriving a sinogram based on the derivation result of the phase derivation processing, and before including the intersection portion based on the sinogram An image deriving process for deriving an image of a cross section of an object to be measured, and a computer-readable recording medium recording a program for causing a computer to execute the object, the object to be measured includes a first object to be measured, A second device under test, and based on the derivation result of the phase derivation process, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the second device under test transmitted A computer-readable recording medium that records a program for causing a computer to further execute a group delay derivation process for deriving a second group delay that is a group delay in the frequency domain of the electromagnetic wave, and the sinogram derivation process, Deriving a first sinogram based on the first group delay and a second sinogram based on the second group delay; An image of a cross section of the first object to be measured based on the first sinogram and an image of a cross section of the second object to be measured based on the second sinogram are derived, and an image of the cross section of the first object to be measured and the second It is a recording medium for deriving an image showing a group delay difference between the first device to be measured and the second device to be measured as a difference between images of a cross section of the device to be measured.

本発明の第一の実施形態にかかる電磁波測定装置の構成を示す図である。It is a figure which shows the structure of the electromagnetic wave measuring device concerning 1st embodiment of this invention. 走査用ステージ6をX方向に移動させたときの、被測定物1、電磁波出力器2、電磁波検出器4および走査用ステージ6の平面図である。FIG. 3 is a plan view of the DUT 1, electromagnetic wave output device 2, electromagnetic wave detector 4 and scanning stage 6 when the scanning stage 6 is moved in the X direction. 走査用ステージ6をθ方向に移動させたときの、被測定物1、電磁波出力器2、電磁波検出器4および走査用ステージ6の平面図である。FIG. 3 is a plan view of the DUT 1, electromagnetic wave output device 2, electromagnetic wave detector 4 and scanning stage 6 when the scanning stage 6 is moved in the θ direction. 第一の実施形態にかかる画像導出装置10の構成を示す機能ブロック図である。It is a functional block diagram which shows the structure of the image derivation | leading-out apparatus 10 concerning 1st embodiment. 第二の実施形態にかかる電磁波測定装置の構成を示す図である。It is a figure which shows the structure of the electromagnetic wave measuring device concerning 2nd embodiment. 第二の実施形態にかかる画像導出装置10の構成を示す機能ブロック図である。It is a functional block diagram which shows the structure of the image derivation | leading-out apparatus 10 concerning 2nd embodiment. 第三の実施形態にかかる画像導出装置10の構成を示す機能ブロック図である。It is a functional block diagram which shows the structure of the image derivation | leading-out apparatus 10 concerning 3rd embodiment.

以下、本発明の実施形態を図面を参照しながら説明する。   Embodiments of the present invention will be described below with reference to the drawings.

第一の実施形態
図1は、本発明の第一の実施形態にかかる電磁波測定装置の構成を示す図である。第一の実施形態にかかる電磁波測定装置は、電磁波出力器2、電磁波検出器4、走査用ステージ(相対位置変化部)6、ディスプレイ8、画像導出装置10を備える。電磁波測定装置は、被測定物1を測定するためのものである。
First Embodiment FIG. 1 is a diagram showing a configuration of an electromagnetic wave measuring apparatus according to a first embodiment of the present invention. The electromagnetic wave measuring apparatus according to the first embodiment includes an electromagnetic wave output device 2, an electromagnetic wave detector 4, a scanning stage (relative position changing unit) 6, a display 8, and an image deriving device 10. The electromagnetic wave measuring device is for measuring the DUT 1.

電磁波出力器2は、被測定物1に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する。なお、被測定物1に向けて出力される電磁波の周波数は、テラヘルツ波帯(例えば、0.03[THz]以上10[THz]以下)を含むものである。そこで、本発明の実施形態においては、電磁波の一例として、テラヘルツ波を想定している。   The electromagnetic wave output device 2 outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward the DUT 1. Note that the frequency of the electromagnetic wave output toward the DUT 1 includes a terahertz wave band (for example, 0.03 [THz] or more and 10 [THz] or less). Therefore, in the embodiment of the present invention, terahertz waves are assumed as an example of electromagnetic waves.

被測定物1に向けて出力されたテラヘルツ波は被測定物1を透過する。電磁波検出器4は、被測定物1を透過した電磁波(例えば、テラヘルツ波)を検出する。   The terahertz wave output toward the device under test 1 passes through the device under test 1. The electromagnetic wave detector 4 detects an electromagnetic wave (for example, terahertz wave) that has passed through the DUT 1.

テラヘルツ波が被測定物1に入射する点をm、テラヘルツ波が被測定物1から出射する点をnとする。すると、被測定物1を透過する電磁波の光路と、被測定物1とが交差する交差部分100は、線分mnとなる。また、被測定物1を上から見た形状が円形であり、その円の中心を点Aとする。   The point where the terahertz wave enters the device under test 1 is m, and the point where the terahertz wave exits the device under test 1 is n. Then, the intersection 100 where the optical path of the electromagnetic wave passing through the DUT 1 intersects the DUT 1 becomes a line segment mn. The shape of the DUT 1 viewed from above is a circle, and the center of the circle is a point A.

なお、点m1、m2、m3、m4は、全てテラヘルツ波が被測定物1に入射する点である。点n1、n2、n3、n4は、全てテラヘルツ波が被測定物1から出射する点である。   Note that the points m1, m2, m3, and m4 are all points where the terahertz wave is incident on the DUT 1. Points n1, n2, n3, and n4 are all points at which the terahertz wave is emitted from the DUT 1.

走査用ステージ(相対位置変化部)6は、交差部分100の被測定物1に対する相対位置を変化させる。例えば、走査用ステージ6には被測定物1が固定されており、走査用ステージ6がX方向、Z方向(図1の紙面に垂直な方向)に移動し、点Aを通り、図1の紙面に垂直な線分を回転中心として回転する(「θ方向への移動」という)。   The scanning stage (relative position changing unit) 6 changes the relative position of the intersection 100 with respect to the DUT 1. For example, the DUT 1 is fixed to the scanning stage 6, and the scanning stage 6 moves in the X direction and the Z direction (direction perpendicular to the paper surface of FIG. 1), passes through the point A, and passes through FIG. It rotates around a line segment perpendicular to the paper surface (referred to as “movement in the θ direction”).

図2は、走査用ステージ6をX方向に移動させたときの、被測定物1、電磁波出力器2、電磁波検出器4および走査用ステージ6の平面図である。なお、被測定物1が内容物1a、1bを有している。   FIG. 2 is a plan view of the DUT 1, the electromagnetic wave output device 2, the electromagnetic wave detector 4, and the scanning stage 6 when the scanning stage 6 is moved in the X direction. Note that the DUT 1 has contents 1a and 1b.

図2(a)を参照して、図1の状態から、走査用ステージ6を+X方向に移動させると(または電磁波出力器2と電磁波検出器4とを−X方向に移動させてもよい)、交差部分100は線分m1n1となる。交差部分100の被測定物1に対する相対位置は、点Aよりも下方となる。交差部分100は、内容物1bを通る。   2A, when scanning stage 6 is moved in the + X direction from the state of FIG. 1 (or electromagnetic wave output device 2 and electromagnetic wave detector 4 may be moved in the -X direction). The intersecting portion 100 is a line segment m1n1. The relative position of the intersecting portion 100 with respect to the DUT 1 is lower than the point A. The intersecting portion 100 passes through the contents 1b.

図2(b)を参照して、図1の状態から、走査用ステージ6を−X方向に移動させると(または電磁波出力器2と電磁波検出器4とを+X方向に移動させてもよい)、交差部分100は線分m2n2となる。交差部分100の被測定物1に対する相対位置は、点Aよりも上方となる。交差部分100は、内容物1aを通る。   Referring to FIG. 2B, when the scanning stage 6 is moved in the −X direction from the state of FIG. 1 (or the electromagnetic wave output device 2 and the electromagnetic wave detector 4 may be moved in the + X direction). The intersecting portion 100 is a line segment m2n2. The relative position of the intersecting portion 100 with respect to the DUT 1 is above the point A. The intersecting portion 100 passes through the contents 1a.

走査用ステージ6をX方向に移動させ、図2(a)に示す状態から図2(b)に示す状態へ変化させると、交差部分100の被測定物に対する相対位置が、点Aよりも下方から上方へと変化していく。   When the scanning stage 6 is moved in the X direction and changed from the state shown in FIG. 2A to the state shown in FIG. 2B, the relative position of the intersecting portion 100 with respect to the object to be measured is lower than the point A. It changes from top to bottom.

図3は、走査用ステージ6をθ方向に移動させたときの、被測定物1、電磁波出力器2、電磁波検出器4および走査用ステージ6の平面図である。なお、被測定物1が内容物1a、1bを有している。   FIG. 3 is a plan view of the DUT 1, the electromagnetic wave output device 2, the electromagnetic wave detector 4, and the scanning stage 6 when the scanning stage 6 is moved in the θ direction. Note that the DUT 1 has contents 1a and 1b.

図3(a)を参照して、図1の状態から、走査用ステージ6を+θ方向に移動させると(または電磁波出力器2と電磁波検出器4とを−θ方向に移動させてもよい)、交差部分100は線分m3n3となる。交差部分100は、内容物1aと内容物1bとの間を通る。   Referring to FIG. 3A, when the scanning stage 6 is moved in the + θ direction from the state of FIG. 1 (or the electromagnetic wave output device 2 and the electromagnetic wave detector 4 may be moved in the −θ direction). The intersecting portion 100 is a line segment m3n3. The intersecting portion 100 passes between the content 1a and the content 1b.

図3(b)を参照して、図1の状態から、走査用ステージ6を−θ方向に移動させると(または電磁波出力器2と電磁波検出器4とを+θ方向に移動させてもよい)、交差部分100は線分m4n4となる。交差部分100は、内容物1aを通る。   Referring to FIG. 3B, when the scanning stage 6 is moved in the −θ direction from the state of FIG. 1 (or the electromagnetic wave output device 2 and the electromagnetic wave detector 4 may be moved in the + θ direction). The intersecting portion 100 is a line segment m4n4. The intersecting portion 100 passes through the contents 1a.

走査用ステージ6をθ方向に移動させ、図3(a)に示す状態から図3(b)に示す状態へ変化させると、交差部分100の被測定物1に対する相対位置が変化していく。   When the scanning stage 6 is moved in the θ direction and changed from the state shown in FIG. 3A to the state shown in FIG. 3B, the relative position of the intersecting portion 100 with respect to the DUT 1 changes.

上記のようにして、走査用ステージ6により、被測定物1を走査できる。   As described above, the DUT 1 can be scanned by the scanning stage 6.

画像導出装置10は、交差部分100を含む平面(図1、図2および図3の紙面)で被測定物1の断面をとったものの画像を導出する。   The image deriving device 10 derives an image of a cross section of the DUT 1 on a plane including the intersecting portion 100 (the paper surfaces of FIGS. 1, 2, and 3).

ディスプレイ8は、画像導出装置10により導出された画像F(x,y)(式(5)参照)を表示する。導出された画像は、被測定物の2次元断面についての数値データであり、この数値データに所定の色を対応させて、被測定物1の2次元断層画像を表示する。なお、数値データから2次元断層画像を表示する方法については周知の方法を適宜採用すればよい。   The display 8 displays the image F (x, y) derived by the image deriving device 10 (see Expression (5)). The derived image is numerical data about a two-dimensional cross section of the object to be measured, and a two-dimensional tomographic image of the object to be measured 1 is displayed by associating the numerical data with a predetermined color. As a method for displaying a two-dimensional tomographic image from numerical data, a known method may be adopted as appropriate.

図4は、第一の実施形態にかかる画像導出装置10の構成を示す機能ブロック図である。画像導出装置10は、AD変換器11、位相導出部12、群遅延導出部14、分散導出部15、サイノグラム導出部16、断層像導出部(画像導出部)18を備える。   FIG. 4 is a functional block diagram showing a configuration of the image deriving device 10 according to the first embodiment. The image deriving device 10 includes an AD converter 11, a phase deriving unit 12, a group delay deriving unit 14, a dispersion deriving unit 15, a sinogram deriving unit 16, and a tomographic image deriving unit (image deriving unit) 18.

AD変換器11は、アナログ信号である電磁波検出器4の検出結果を、デジタル信号に変換する。   The AD converter 11 converts the detection result of the electromagnetic wave detector 4 that is an analog signal into a digital signal.

位相導出部12は、電磁波検出器4の検出結果に基づき、被測定物1を透過した電磁波(例えば、テラヘルツ波)の周波数領域における位相を導出する。   The phase deriving unit 12 derives the phase in the frequency domain of the electromagnetic wave (for example, terahertz wave) transmitted through the DUT 1 based on the detection result of the electromagnetic wave detector 4.

位相導出部12は、AD変換器11の出力を受ける。AD変換器11の出力は、被測定物1を透過した電磁波のパルス波形データである。このパルス波形データは、x(走査用ステージ6のX方向への移動量)、θ(走査用ステージ6のθ方向への移動量)、t(時間)の関数である。   The phase deriving unit 12 receives the output of the AD converter 11. The output of the AD converter 11 is pulse waveform data of an electromagnetic wave that has passed through the DUT 1. This pulse waveform data is a function of x (amount of movement of the scanning stage 6 in the X direction), θ (amount of movement of the scanning stage 6 in the θ direction), and t (time).

位相導出部12は、このパルス波形データをフーリエ変換して、周波数領域におけるパルス波形のスペクトルデータを取得する。パルス波形のスペクトルデータは、X、θ、f(周波数)の関数である。位相導出部12は、パルス波形のスペクトルデータから位相Ph1(x, θ, f)を導出する。なお、図4においては、関数Ph1(x, θ, f)の引数(x, θ, f)を省略している。他の関数についても同様に引数を図示省略している。 The phase deriving unit 12 performs Fourier transform on the pulse waveform data to obtain spectrum data of the pulse waveform in the frequency domain. The spectrum data of the pulse waveform is a function of X, θ, and f (frequency). The phase deriving unit 12 derives the phase Ph 1 (x, θ, f) from the spectrum data of the pulse waveform. In FIG. 4, arguments (x, θ, f) of the function Ph 1 (x, θ, f) are omitted. The arguments are also omitted for other functions.

群遅延導出部14は、位相導出部12から位相Ph1(x, θ, f)を受け、位相Ph1(x, θ, f)に基づき、被測定物1を透過した電磁波の周波数領域における群遅延GD1(x, θ, f)を導出する。 Group delay deriving unit 14, the phase Ph 1 from the phase deriving unit 12 (x, θ, f) receiving the phase Ph 1 (x, θ, f ) on the basis of, in the frequency domain of the electromagnetic wave transmitted through the DUT 1 The group delay GD 1 (x, θ, f) is derived.

ただし、群遅延GD1(x, θ, f)は以下のようにして、群遅延導出部14により以下の式(1)にようにして導出される。 However, the group delay GD 1 (x, θ, f) is derived as follows by the group delay deriving unit 14 as shown in the following equation (1).

Figure 0005220060

分散導出部15は、位相導出部12の導出結果に基づき、被測定物1を透過した電磁波の周波数領域における分散を導出する。
Figure 0005220060

The dispersion deriving unit 15 derives the dispersion in the frequency domain of the electromagnetic wave transmitted through the DUT 1 based on the derived result of the phase deriving unit 12.

具体的には、分散導出部15は、群遅延導出部14から群遅延GD1(x, θ, f)を受け、被測定物1を透過した電磁波の周波数領域における分散CD1(x, θ, f)を導出する。 Specifically, the dispersion derivation unit 15 receives the group delay GD 1 (x, θ, f) from the group delay derivation unit 14, and dispersion CD 1 (x, θ in the frequency domain of the electromagnetic wave transmitted through the DUT 1. , f).

なお、分散CD1(x, θ, f)は、以下の式(2)のように表されるので、群遅延GD1(x, θ, f)を周波数fで偏微分すればよいことがわかる。 Since the dispersion CD 1 (x, θ, f) is expressed by the following equation (2), the group delay GD 1 (x, θ, f) may be partially differentiated with the frequency f. Recognize.

なお、分散導出部15は、位相導出部12から位相Ph1(x, θ, f)を受け、位相Ph1(x, θ, f)を式(2)に代入して、分散CD1(x, θ, f)を導出するようにしてもよい。 The dispersion deriving unit 15 receives the phase Ph 1 (x, θ, f) from the phase deriving unit 12 and substitutes the phase Ph 1 (x, θ, f) into the equation (2) to obtain the dispersion CD 1 ( x, θ, f) may be derived.

Figure 0005220060

サイノグラム導出部16は、位相導出部12の導出結果(位相Ph1(x, θ, f))に基づき、サイノグラムを導出する。
Figure 0005220060

The sinogram derivation unit 16 derives a sinogram based on the derivation result of the phase derivation unit 12 (phase Ph 1 (x, θ, f)).

具体的には、サイノグラム導出部16は、群遅延導出部14から群遅延GD1(x, θ, f)を受け、以下の式(3)のようにして、群遅延についてのサイノグラムSGD1(x, θ)を導出する。群遅延GD1(x, θ, f)は位相Ph1(x, θ, f)に基づき導出されるので(式(1)参照)、サイノグラムSGD1(x, θ)もまた位相Ph1(x, θ, f)に基づき導出されることになる。 Specifically, the sinogram deriving unit 16 receives the group delay GD 1 (x, θ, f) from the group delay deriving unit 14 and, as shown in the following equation (3), the sinogram S GD1 ( x, θ) is derived. Since the group delay GD 1 (x, θ, f) is derived based on the phase Ph 1 (x, θ, f) (see equation (1)), the sinogram S GD1 (x, θ) is also the phase Ph 1 ( x, θ, f).

Figure 0005220060

または、サイノグラム導出部16は、分散導出部15から分散CD1(x, θ, f)を受け、以下の式(4)のようにして、分散についてのサイノグラムSCD1(x, θ)を導出する。分散CD1(x, θ, f)は位相Ph1(x, θ, f)に基づき導出されるので(式(2)参照)、サイノグラムSCD1(x, θ)もまた位相Ph1(x, θ, f)に基づき導出されることになる。
Figure 0005220060

Alternatively, the sinogram derivation unit 16 receives the variance CD 1 (x, θ, f) from the variance derivation unit 15 and derives a sinogram S CD1 (x, θ) for the variance as shown in the following equation (4). To do. Since the variance CD 1 (x, θ, f) is derived based on the phase Ph 1 (x, θ, f) (see equation (2)), the sinogram S CD1 (x, θ) is also the phase Ph 1 (x , θ, f).

Figure 0005220060

断層像導出部(画像導出部)18は、サイノグラム導出部16からサイノグラムを受け、サイノグラムに基づき、交差部分100を含む被測定物1の断面の画像を導出する。
Figure 0005220060

The tomographic image deriving unit (image deriving unit) 18 receives the sinogram from the sinogram deriving unit 16 and derives an image of a cross section of the DUT 1 including the intersection 100 based on the sinogram.

サイノグラム導出部16の導出したサイノグラムをS(x,θ)とすると、断層像導出部18は、以下の式(5)のようにして、画像F(x,y)を導出する。式(5)は、フィルタ補正逆投影法による画像の導出を意味する。   If the sinogram derived by the sinogram deriving unit 16 is S (x, θ), the tomographic image deriving unit 18 derives an image F (x, y) as shown in the following equation (5). Equation (5) means the derivation of the image by the filtered back projection method.

Figure 0005220060

次に、第一の実施形態の動作を説明する。
Figure 0005220060

Next, the operation of the first embodiment will be described.

まず、走査用ステージ6に被測定物1を固定する。そして、走査用ステージ6をX方向、Z方向(図1の紙面に垂直な方向)に移動させ、しかも、θ方向へ移動させながら、電磁波出力器2から0.01[THz]以上100[THz]以下の周波数の電磁波(例えば、テラヘルツ波)を被測定物1に向けて出力する。被測定物1に向けて出力されたテラヘルツ波は被測定物1を透過する。被測定物1を透過した電磁波は、電磁波検出器4により検出される。このようにして、被測定物1の走査が行われる。   First, the DUT 1 is fixed to the scanning stage 6. Then, the scanning stage 6 is moved in the X direction and Z direction (perpendicular to the plane of FIG. 1), and further moved in the θ direction from the electromagnetic wave output device 2 from 0.01 [THz] to 100 [THz]. An electromagnetic wave (for example, terahertz wave) having a frequency of 1 is output toward the DUT 1. The terahertz wave output toward the device under test 1 passes through the device under test 1. The electromagnetic wave transmitted through the DUT 1 is detected by the electromagnetic wave detector 4. In this way, the measurement object 1 is scanned.

電磁波検出器4の検出結果は、画像導出装置10のAD変換器11に与えられる。電磁波検出器4の検出結果は、AD変換器11により、デジタル信号に変換され、位相導出部12に与えられる。   The detection result of the electromagnetic wave detector 4 is given to the AD converter 11 of the image deriving device 10. The detection result of the electromagnetic wave detector 4 is converted into a digital signal by the AD converter 11 and given to the phase deriving unit 12.

位相導出部12は、被測定物1を透過した電磁波の周波数領域における位相Ph1(x, θ, f)を導出する。位相Ph1(x, θ, f)に基づき、群遅延GD1(x, θ, f)および分散CD1(x, θ, f)が導出され、サイノグラム導出部16に与えられる。 The phase deriving unit 12 derives the phase Ph 1 (x, θ, f) in the frequency domain of the electromagnetic wave that has passed through the DUT 1. Based on the phase Ph 1 (x, θ, f), the group delay GD 1 (x, θ, f) and the variance CD 1 (x, θ, f) are derived and provided to the sinogram deriving unit 16.

サイノグラム導出部16は、群遅延についてのサイノグラムSGD1(x, θ)または分散についてのサイノグラムSCD1(x, θ)を導出する。導出されたサイノグラムから、断層像導出部18が被測定物1の断面の画像を導出する。 The sinogram deriving unit 16 derives a sinogram S GD1 (x, θ) for the group delay or a sinogram S CD1 (x, θ) for the variance. From the derived sinogram, the tomographic image deriving unit 18 derives a cross-sectional image of the DUT 1.

ディスプレイ8は、画像導出装置10により導出された画像を表示する。   The display 8 displays the image derived by the image deriving device 10.

第一の実施形態によれば、被測定物1の電磁波の吸収率ではなく、位相Ph1(x, θ, f)に基づき(具体的には、群遅延または分散に基づき)CT法を行うことができる。 According to the first embodiment, the CT method is performed based on the phase Ph 1 (x, θ, f) rather than the electromagnetic wave absorption rate of the DUT 1 (specifically, based on group delay or dispersion). be able to.

群遅延または分散に基づきCT法を行うことができる利点を以下に説明する。   Advantages of performing the CT method based on group delay or dispersion will be described below.

まず、テラヘルツ波の吸収が少ない被測定物1について、透過率(吸収率の逆数)に基づきCT法を行って断面像を得たと仮定する。この場合、被測定物1の内部構造等に応じたコントラスト(明度や色相の差)が、断面像において充分に生じないこととなる。しかし、群遅延または分散に基づきCT法を行えば、被測定物1の内部構造等に応じた充分なコントラストが、断面像において充分に生じることが期待できる。これにより、被測定物1の内部構造等の情報を得られることが期待できる。   First, it is assumed that a cross-sectional image is obtained by performing the CT method on the DUT 1 with little absorption of terahertz waves based on the transmittance (reciprocal of the absorption rate). In this case, contrast (brightness or hue difference) according to the internal structure of the DUT 1 is not sufficiently generated in the cross-sectional image. However, if the CT method is performed based on group delay or dispersion, it can be expected that a sufficient contrast according to the internal structure of the DUT 1 is sufficiently generated in the cross-sectional image. Thereby, it can be expected that information such as the internal structure of the DUT 1 can be obtained.

被測定物1の内部の屈折率が一様でない場合、被測定物1の内部でテラヘルツ波は直進せず、屈折界面で屈折する。屈折によるテラヘルツ波の光路の曲がりが大きい場合は、屈折界面において大きなパワーロスが生じて、透過率が低下し、透過率に基づくCT像には誤差が生じる。ここで、屈折によるテラヘルツ波の光路の曲がりは、被測定物1の屈折率分布の形状により決定される。すなわち、被測定物1の屈折率分布の形状の影響により、透過率に基づくCT像に誤差が生じる。一方、群遅延または分散は、パワーとは別の量なので、群遅延または分散は、被測定物1を透過するテラヘルツ波のパワーが低下しても、基本的には変化しない。したがって、群遅延または分散についてのCT像は、被測定物1の屈折率分布の形状の影響による誤差が少ない。   When the refractive index inside the device under test 1 is not uniform, the terahertz wave does not travel straight inside the device under test 1 but is refracted at the refractive interface. When the bending of the optical path of the terahertz wave due to refraction is large, a large power loss occurs at the refraction interface, the transmittance decreases, and an error occurs in the CT image based on the transmittance. Here, the bending of the optical path of the terahertz wave due to refraction is determined by the shape of the refractive index distribution of the DUT 1. That is, an error occurs in the CT image based on the transmittance due to the influence of the shape of the refractive index distribution of the DUT 1. On the other hand, since the group delay or dispersion is an amount different from the power, the group delay or dispersion basically does not change even if the power of the terahertz wave that passes through the DUT 1 decreases. Therefore, the CT image regarding group delay or dispersion has few errors due to the influence of the shape of the refractive index distribution of the DUT 1.

第二の実施形態
第二の実施形態は、(第一)被測定物1および第二被測定物20を用いる点が、第一の実施形態と異なる。なお、第一の実施形態における被測定物1を、第二の実施形態においては第一被測定物1という。
Second Embodiment The second embodiment is different from the first embodiment in that the (first) device under test 1 and the second device under test 20 are used. Note that the DUT 1 in the first embodiment is referred to as the first DUT 1 in the second embodiment.

図5は、第二の実施形態にかかる電磁波測定装置の構成を示す図である。図6は、第二の実施形態にかかる画像導出装置10の構成を示す機能ブロック図である。   FIG. 5 is a diagram illustrating a configuration of the electromagnetic wave measurement device according to the second embodiment. FIG. 6 is a functional block diagram showing the configuration of the image deriving device 10 according to the second embodiment.

第二の実施形態にかかる電磁波測定装置の構成は、第一の実施形態と同様であるため、説明を省略する。ただし、第二の実施形態にかかる画像導出装置10は、分散導出部15を備えていない。以下、第一の実施形態と同様な部分は同一の番号を付して説明を省略する。   Since the configuration of the electromagnetic wave measurement device according to the second embodiment is the same as that of the first embodiment, description thereof is omitted. However, the image deriving device 10 according to the second embodiment does not include the dispersion deriving unit 15. Hereinafter, the same parts as those of the first embodiment are denoted by the same reference numerals, and description thereof is omitted.

次に、第二の実施形態の動作を説明する。   Next, the operation of the second embodiment will be described.

まず、走査用ステージ6に第二被測定物20を固定する(図5(a)参照)。そして、第一の実施形態と同様に、第二被測定物20の走査が行われる。   First, the second object to be measured 20 is fixed to the scanning stage 6 (see FIG. 5A). And the scan of the 2nd to-be-measured object 20 is performed similarly to 1st embodiment.

電磁波検出器4の検出結果は、画像導出装置10のAD変換器11に与えられる。電磁波検出器4の検出結果は、AD変換器11により、デジタル信号に変換され、位相導出部12に与えられる。   The detection result of the electromagnetic wave detector 4 is given to the AD converter 11 of the image deriving device 10. The detection result of the electromagnetic wave detector 4 is converted into a digital signal by the AD converter 11 and given to the phase deriving unit 12.

位相導出部12は、第二被測定物20を透過した電磁波の周波数領域における位相Ph2(x, θ, f)を導出する。第一の実施形態と同様に、群遅延導出部14が、位相Ph2(x, θ, f)を周波数fで偏微分して、第二被測定物20を透過した電磁波の周波数領域における群遅延である第二群遅延GD2(x, θ, f)を導出する。 The phase deriving unit 12 derives the phase Ph 2 (x, θ, f) in the frequency domain of the electromagnetic wave that has passed through the second device under test 20. As in the first embodiment, the group delay deriving unit 14 performs partial differentiation on the phase Ph 2 (x, θ, f) with the frequency f and transmits the group of electromagnetic waves transmitted through the second device under test 20 in the frequency domain. A second group delay GD 2 (x, θ, f), which is a delay, is derived.

次に、走査用ステージ6に第一被測定物1を固定する(図5(b)参照)。そして、第一の実施形態と同様に、第一被測定物1の走査が行われる。   Next, the first DUT 1 is fixed to the scanning stage 6 (see FIG. 5B). Then, as in the first embodiment, the first device under test 1 is scanned.

電磁波検出器4の検出結果は、画像導出装置10のAD変換器11に与えられる。電磁波検出器4の検出結果は、AD変換器11により、デジタル信号に変換され、位相導出部12に与えられる。   The detection result of the electromagnetic wave detector 4 is given to the AD converter 11 of the image deriving device 10. The detection result of the electromagnetic wave detector 4 is converted into a digital signal by the AD converter 11 and given to the phase deriving unit 12.

位相導出部12は、第一被測定物1を透過した電磁波の周波数領域における位相Ph1(x, θ, f)を導出する。第一の実施形態と同様に、群遅延導出部14が、位相Ph1(x, θ, f)を周波数fで偏微分して、第一被測定物1を透過した電磁波の周波数領域における第一群遅延GD1(x, θ, f)を導出する。 The phase deriving unit 12 derives the phase Ph 1 (x, θ, f) in the frequency domain of the electromagnetic wave transmitted through the first device under test 1. As in the first embodiment, the group delay deriving unit 14 performs partial differentiation on the phase Ph 1 (x, θ, f) with the frequency f, and the first in the frequency domain of the electromagnetic wave transmitted through the first device under test 1. A group delay GD 1 (x, θ, f) is derived.

ここで、サイノグラム導出部16は、群遅延導出部14から第一群遅延GD1(x, θ, f)および第二群遅延GD2(x, θ, f)を受け、第一群遅延GD1(x, θ, f)および第二群遅延GD2(x, θ, f)の差分に基づき、第一被測定物1と第二被測定物20との屈折率差についてのサイノグラムを導出する。 Here, the sinogram deriving unit 16 receives the first group delay GD 1 (x, θ, f) and the second group delay GD 2 (x, θ, f) from the group delay deriving unit 14, and receives the first group delay GD. Based on the difference between 1 (x, θ, f) and the second group delay GD 2 (x, θ, f), a sinogram for the refractive index difference between the first device under test 1 and the second device under test 20 is derived. To do.

ただし、屈折率差についてのサイノグラムSrn(x, θ)は以下のようにして、サイノグラム導出部16により以下の式(6)にようにして導出される。 However, the sinogram S rn (x, θ) for the refractive index difference is derived as follows by the sinogram deriving unit 16 as shown in the following equation (6).

Figure 0005220060

断層像導出部18は、第一の実施形態と同様に、被測定物1の断面の画像を導出する。
Figure 0005220060

The tomographic image deriving unit 18 derives a cross-sectional image of the DUT 1 as in the first embodiment.

ディスプレイ8は、画像導出装置10により導出された画像を表示する。   The display 8 displays the image derived by the image deriving device 10.

第二の実施形態によれば、被測定物1の電磁波の吸収率ではなく、位相Ph1(x, θ, f)および位相Ph2(x, θ, f)に基づき(具体的には、第一群遅延および第二群遅延の差分に基づき)CT法を行うことができる。 According to the second embodiment, based on the phase Ph 1 (x, θ, f) and the phase Ph 2 (x, θ, f) rather than the electromagnetic wave absorption rate of the DUT 1 (specifically, A CT method can be performed (based on the difference between the first group delay and the second group delay).

なお、第二被測定物20の屈折率が既知である場合は(例えば、第二被測定物20が空気(窒素雰囲気中や真空も含む)である場合)、第一被測定物1の屈折率についての画像を表示させることができる。   When the refractive index of the second object to be measured 20 is known (for example, when the second object to be measured 20 is air (including in a nitrogen atmosphere or a vacuum)), the refraction of the first object to be measured 1 is refraction. An image of the rate can be displayed.

この場合、サイノグラム導出部16が、屈折率差についてのサイノグラムSrn(x, θ)から、さらに以下の式(7)に基づき、第一被測定物1の屈折率についてのサイノグラムSn(x, θ)を導出する。ただし、cは光速、Δxはサイノグラムの空間分解能である。また、第二被測定物20の屈折率が1であるものとする。さらに、屈折率差についてのサイノグラムSrn(x, θ)は、先に説明したように、第一群遅延GD1(x, θ, f)および第二群遅延GD2(x, θ, f)の差分に基づき導出されている。 In this case, the sinogram deriving unit 16 further uses the sinogram S n (x for the refractive index of the first object 1 to be measured based on the following formula (7) from the sinogram S rn (x, θ) for the refractive index difference. , θ). Where c is the speed of light and Δx is the spatial resolution of the sinogram. Further, it is assumed that the refractive index of the second device under test 20 is 1. Furthermore, as described above, the sinogram S rn (x, θ) for the refractive index difference includes the first group delay GD 1 (x, θ, f) and the second group delay GD 2 (x, θ, f ).

Figure 0005220060

第一被測定物の屈折率についてのサイノグラムSn(x, θ)から、断層像導出部18が、第一の実施形態と同様に、被測定物1の断面の画像を導出する。ディスプレイ8は、画像導出装置10により導出された画像を表示する。
Figure 0005220060

The tomographic image deriving unit 18 derives a cross-sectional image of the DUT 1 from the sinogram S n (x, θ) regarding the refractive index of the first DUT as in the first embodiment. The display 8 displays the image derived by the image deriving device 10.

第三の実施形態
第三の実施形態は、第二の実施形態と同様に第一被測定物1および第二被測定物20を用いるものの、サイノグラム導出部16によるサイノグラムの導出および断層像導出部18による画像の導出が第二の実施形態と異なる。
Third Embodiment The third embodiment uses the first device to be measured 1 and the second device to be measured 20 as in the second embodiment, but derives a sinogram by the sinogram deriving unit 16 and a tomographic image deriving unit. The derivation of the image by 18 is different from the second embodiment.

図7は、第三の実施形態にかかる画像導出装置10の構成を示す機能ブロック図である。   FIG. 7 is a functional block diagram showing the configuration of the image deriving device 10 according to the third embodiment.

第三の実施形態にかかる電磁波測定装置の構成は、第二の実施形態と同様であるため、説明を省略する(図5参照)。ただし、第三の実施形態にかかる画像導出装置10は、分散導出部15を備えていない。以下、第二の実施形態と同様な部分は同一の番号を付して説明を省略する。   Since the configuration of the electromagnetic wave measurement device according to the third embodiment is the same as that of the second embodiment, description thereof is omitted (see FIG. 5). However, the image deriving device 10 according to the third embodiment does not include the dispersion deriving unit 15. Hereinafter, the same parts as those of the second embodiment are denoted by the same reference numerals, and the description thereof is omitted.

次に、第三の実施形態の動作を説明する。   Next, the operation of the third embodiment will be described.

第二群遅延GD2(x, θ, f)および第一群遅延GD1(x, θ, f)を導出するまでの動作は、第二の実施形態と同様である。 The operations until the second group delay GD 2 (x, θ, f) and the first group delay GD 1 (x, θ, f) are derived are the same as those in the second embodiment.

まず、走査用ステージ6に第二被測定物20を固定する(図5(a)参照)。そして、第一の実施形態と同様に、第二被測定物20の走査が行われる。   First, the second object to be measured 20 is fixed to the scanning stage 6 (see FIG. 5A). And the scan of the 2nd to-be-measured object 20 is performed similarly to 1st embodiment.

電磁波検出器4の検出結果は、画像導出装置10のAD変換器11に与えられる。電磁波検出器4の検出結果は、AD変換器11により、デジタル信号に変換され、位相導出部12に与えられる。   The detection result of the electromagnetic wave detector 4 is given to the AD converter 11 of the image deriving device 10. The detection result of the electromagnetic wave detector 4 is converted into a digital signal by the AD converter 11 and given to the phase deriving unit 12.

位相導出部12は、第二被測定物20を透過した電磁波の周波数領域における位相Ph2(x, θ, f)を導出する。第一の実施形態と同様に、群遅延導出部14が、位相Ph2(x, θ, f)を周波数fで偏微分して、第二被測定物20を透過した電磁波の周波数領域における群遅延である第二群遅延GD2(x, θ, f)を導出する。 The phase deriving unit 12 derives the phase Ph 2 (x, θ, f) in the frequency domain of the electromagnetic wave that has passed through the second device under test 20. As in the first embodiment, the group delay deriving unit 14 performs partial differentiation on the phase Ph 2 (x, θ, f) with the frequency f and transmits the group of electromagnetic waves transmitted through the second device under test 20 in the frequency domain. A second group delay GD 2 (x, θ, f), which is a delay, is derived.

次に、走査用ステージ6に第一被測定物1を固定する(図5(b)参照)。そして、第一の実施形態と同様に、第一被測定物1の走査が行われる。   Next, the first DUT 1 is fixed to the scanning stage 6 (see FIG. 5B). Then, as in the first embodiment, the first device under test 1 is scanned.

電磁波検出器4の検出結果は、画像導出装置10のAD変換器11に与えられる。電磁波検出器4の検出結果は、AD変換器11により、デジタル信号に変換され、位相導出部12に与えられる。   The detection result of the electromagnetic wave detector 4 is given to the AD converter 11 of the image deriving device 10. The detection result of the electromagnetic wave detector 4 is converted into a digital signal by the AD converter 11 and given to the phase deriving unit 12.

位相導出部12は、第一被測定物1を透過した電磁波の周波数領域における位相Ph1(x, θ, f)を導出する。第一の実施形態と同様に、群遅延導出部14が、位相Ph1(x, θ, f)を周波数fで偏微分して、第一被測定物1を透過した電磁波の周波数領域における第一群遅延GD1(x, θ, f)を導出する。 The phase deriving unit 12 derives the phase Ph 1 (x, θ, f) in the frequency domain of the electromagnetic wave transmitted through the first device under test 1. As in the first embodiment, the group delay deriving unit 14 performs partial differentiation on the phase Ph 1 (x, θ, f) with the frequency f, and the first in the frequency domain of the electromagnetic wave transmitted through the first device under test 1. A group delay GD 1 (x, θ, f) is derived.

ここまでの動作は第二の実施形態と同様である。   The operations up to here are the same as in the second embodiment.

ここで、サイノグラム導出部16は、群遅延導出部14から第一群遅延GD1(x, θ, f)および第二群遅延GD2(x, θ, f)を受け、第一群遅延GD1(x, θ, f)に基づく第一サイノグラムSGD1(x,θ)および第二群遅延GD2(x, θ, f)に基づく第二サイノグラムSGD2(x,θ)を導出する。 Here, the sinogram deriving unit 16 receives the first group delay GD 1 (x, θ, f) and the second group delay GD 2 (x, θ, f) from the group delay deriving unit 14, and receives the first group delay GD. A first sinogram S GD1 (x, θ) based on 1 (x, θ, f) and a second sinogram S GD2 (x, θ) based on the second group delay GD 2 (x, θ, f) are derived.

ただし、第一サイノグラムSGD1(x,θ)は、第一群遅延GD1(x, θ, f)を周波数で積分したものである。第二サイノグラムSGD2(x,θ)は、第二群遅延GD2(x, θ, f)を周波数で積分したものである。 However, the first sinogram S GD1 (x, θ) is obtained by integrating the first group delay GD 1 (x, θ, f) with frequency. The second sinogram S GD2 (x, θ) is obtained by integrating the second group delay GD 2 (x, θ, f) with frequency.

断層像導出部18は、第一サイノグラムSGD1(x,θ)に基づく第一被測定物1の断面の画像FGD1(x,y)および第二サイノグラムSGD2(x,θ)に基づく第二被測定物20の断面の画像FGD2(x,y)を導出する。なお、画像FGD1(x,y)および画像FGD2(x,y)の導出法は、第一の実施形態と同様である。すなわち、式(5)のサイノグラムS(x,θ)に、第一サイノグラムSGD1(x,θ)および第二サイノグラムSGD2(x,θ)を代入すれば、画像FGD1(x,y)および画像FGD2(x,y)を導出できる。 Tomogram deriving unit 18 first based on the first sinogram S GD1 (x, θ) images F GD1 (x, y) of the first DUT 1 in cross-section based on and the second sinogram S GD2 (x, θ) An image F GD2 (x, y) of the cross section of the object to be measured 20 is derived. The method for deriving the image F GD1 (x, y) and the image F GD2 (x, y) is the same as that in the first embodiment. That is, if the first sinogram S GD1 (x, θ) and the second sinogram S GD2 (x, θ) are substituted into the sinogram S (x, θ) of the equation (5), the image F GD1 (x, y) And the image F GD2 (x, y) can be derived.

断層像導出部18は、さらに、第一被測定物1の断面の画像FGD1(x,y)および第二被測定物20の断面の画像FGD2(x,y)の差分として、第一被測定物1と第二被測定物20との群遅延差を示す画像F(x,y)を導出する。ただし、F(x,y) = FGD1(x,y)−FGD2(x,y)である。なお、画像F(x,y)は、第一被測定物1と第二被測定物20との群遅延差を示すとともに、第一被測定物1と第二被測定物20との屈折率の差をも示す。 The tomographic image deriving unit 18 further calculates the first difference as the difference between the cross-sectional image F GD1 (x, y) of the first device under test 1 and the cross-sectional image F GD2 (x, y) of the second device under test 20. An image F (x, y) indicating a group delay difference between the DUT 1 and the second DUT 20 is derived. However, F (x, y) = F GD1 (x, y) −F GD2 (x, y). The image F (x, y) shows the group delay difference between the first device under test 1 and the second device under test 20, and the refractive index between the first device under test 1 and the second device under test 20. The difference is also shown.

ディスプレイ8は、画像導出装置10により導出された画像を表示する。   The display 8 displays the image derived by the image deriving device 10.

第三の実施形態によれば、被測定物1の電磁波の吸収率ではなく、位相Ph1(x, θ, f)および位相Ph2(x, θ, f)に基づき(具体的には、第一群遅延および第二群遅延に基づき)CT法を行うことができる。 According to the third embodiment, based on the phase Ph 1 (x, θ, f) and the phase Ph 2 (x, θ, f), not the electromagnetic wave absorption rate of the DUT 1 (specifically, The CT method can be performed (based on the first group delay and the second group delay).

また、上記の実施形態は、以下のようにして実現できる。CPU、ハードディスク、メディア(フロッピー(登録商標)ディスク、CD−ROMなど)読み取り装置を備えたコンピュータに、上記の各部分、例えば画像導出装置10を実現するプログラムを記録したメディアを読み取らせて、ハードディスクにインストールする。このような方法でも、上記の機能を実現できる。   Moreover, said embodiment is realizable as follows. A computer having a CPU, a hard disk, and a medium (floppy (registered trademark) disk, CD-ROM, etc.) reader reads a medium on which a program that realizes each of the above-described parts, for example, the image deriving device 10 is recorded. To install. Such a method can also realize the above functions.

1 (第一)被測定物
1a、1b 内容物
20 第二被測定物
100 交差部分
2 電磁波出力器
4 電磁波検出器
6 走査用ステージ(相対位置変化部)
8 ディスプレイ
10 画像導出装置
11 AD変換器
12 位相導出部
14 群遅延導出部
15 分散導出部
16 サイノグラム導出部
18 断層像導出部(画像導出部)
DESCRIPTION OF SYMBOLS 1 (1st) Measured object 1a, 1b Contents 20 2nd measured object 100 Crossing part 2 Electromagnetic wave output device 4 Electromagnetic wave detector 6 Scanning stage (relative position change part)
8 Display 10 Image Deriving Device 11 AD Converter 12 Phase Deriving Unit 14 Group Delay Deriving Unit 15 Dispersion Deriving Unit 16 Sinogram Deriving Unit 18 Tomographic Image Deriving Unit (Image Deriving Unit)

Claims (13)

被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、
前記被測定物を透過した前記電磁波を検出する電磁波検出器と、
前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部と、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出部と、
前記位相導出部の導出結果に基づき、サイノグラムを導出するサイノグラム導出部と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出部と、
前記位相導出部の導出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における分散を導出する分散導出部と、
を備え、
前記サイノグラム導出部が、前記分散についてのサイノグラムを導出する、
を備えた電磁波測定装置。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward the object to be measured;
An electromagnetic wave detector for detecting the electromagnetic wave transmitted through the object to be measured;
A relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object intersects the measurement object;
Based on the detection result of the electromagnetic wave detector, a phase deriving unit for deriving a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured;
A sinogram derivation unit for deriving a sinogram based on the derivation result of the phase derivation unit;
An image deriving unit for deriving an image of a cross section of the object to be measured including the intersecting portion based on the sinogram;
A dispersion derivation unit that derives dispersion in the frequency domain of the electromagnetic wave that has passed through the device under test based on the derivation result of the phase derivation unit;
With
The sinogram deriving unit derives a sinogram for the variance;
Electromagnetic wave measuring apparatus provided with.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、
前記被測定物を透過した前記電磁波を検出する電磁波検出器と、
前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部と、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出部と、
前記位相導出部の導出結果に基づき、サイノグラムを導出するサイノグラム導出部と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出部と、
を備え、
前記被測定物は、第一被測定物と、第二被測定物とを有し、
前記電磁波測定装置が、
前記位相導出部の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出部を備え、
前記サイノグラム導出部が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物と前記第二被測定物との屈折率差についてのサイノグラムを導出する、
電磁波測定装置。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward the object to be measured;
An electromagnetic wave detector for detecting the electromagnetic wave transmitted through the object to be measured;
A relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object intersects the measurement object;
Based on the detection result of the electromagnetic wave detector, a phase deriving unit for deriving a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured;
A sinogram derivation unit for deriving a sinogram based on the derivation result of the phase derivation unit;
An image deriving unit for deriving an image of a cross section of the object to be measured including the intersecting portion based on the sinogram;
With
The measured object has a first measured object and a second measured object,
The electromagnetic wave measuring device is
Based on the derivation result of the phase deriving unit, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test. A group delay deriving unit for deriving a second group delay;
The sinogram deriving unit derives a sinogram for a difference in refractive index between the first object to be measured and the second object to be measured based on a difference between the first group delay and the second group delay;
Electromagnetic wave measuring device.
請求項2に記載の電磁波測定装置であって、
前記第二被測定物の屈折率が既知であり、
前記サイノグラム導出部が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物の屈折率についてのサイノグラムを導出する、
電磁波測定装置。
The electromagnetic wave measuring device according to claim 2,
The refractive index of the second object to be measured is known;
The sinogram deriving unit derives a sinogram for the refractive index of the first device under test based on the difference between the first group delay and the second group delay;
Electromagnetic wave measuring device.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、
前記被測定物を透過した前記電磁波を検出する電磁波検出器と、
前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部と、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出部と、
前記位相導出部の導出結果に基づき、サイノグラムを導出するサイノグラム導出部と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出部と、
を備え、
前記被測定物は、第一被測定物と、第二被測定物とを有し、
前記電磁波測定装置が、
前記位相導出部の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出部を備え、
前記サイノグラム導出部が、前記第一群遅延に基づく第一サイノグラムおよび前記第二群遅延に基づく第二サイノグラムを導出し、
前記画像導出部が、前記第一サイノグラムに基づく前記第一被測定物の断面の画像および前記第二サイノグラムに基づく前記第二被測定物の断面の画像を導出し、前記第一被測定物の断面の画像および前記第二被測定物の断面の画像の差分として、前記第一被測定物と前記第二被測定物との群遅延差を示す画像を導出する、
電磁波測定装置。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward the object to be measured;
An electromagnetic wave detector for detecting the electromagnetic wave transmitted through the object to be measured;
A relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the measurement object intersects the measurement object;
Based on the detection result of the electromagnetic wave detector, a phase deriving unit for deriving a phase in the frequency domain of the electromagnetic wave transmitted through the object to be measured;
A sinogram derivation unit for deriving a sinogram based on the derivation result of the phase derivation unit;
An image deriving unit for deriving an image of a cross section of the object to be measured including the intersecting portion based on the sinogram;
With
The measured object has a first measured object and a second measured object,
The electromagnetic wave measuring device is
Based on the derivation result of the phase deriving unit, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test. A group delay deriving unit for deriving a second group delay;
The sinogram deriving unit derives a first sinogram based on the first group delay and a second sinogram based on the second group delay;
The image deriving unit derives an image of a cross section of the first object to be measured based on the first sinogram and an image of a cross section of the second object to be measured based on the second sinogram; Deriving an image indicating a group delay difference between the first device to be measured and the second device to be measured as a difference between the image of the cross section and the image of the cross section of the second device to be measured;
Electromagnetic wave measuring device.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定方法であって、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出工程と、
前記位相導出工程の導出結果に基づき、サイノグラムを導出するサイノグラム導出工程と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出工程と、
前記位相導出工程の導出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における分散を導出する分散導出工程と、
を備え、
前記サイノグラム導出工程が、前記分散についてのサイノグラムを導出する、
測定方法。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured, an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured, and the object to be measured A measuring method using an electromagnetic wave measuring device comprising a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through and the measured object intersects the measured object,
Based on the detection result of the electromagnetic wave detector, a phase deriving step for deriving a phase in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
A sinogram derivation step for deriving a sinogram based on the derivation result of the phase derivation step;
An image deriving step for deriving an image of a cross section of the object to be measured including the intersecting portion based on the sinogram;
Based on the derivation result of the phase derivation step, a dispersion derivation step for deriving dispersion in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
With
The sinogram derivation step derives a sinogram for the variance;
Measuring method.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定方法であって、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出工程と、
前記位相導出工程の導出結果に基づき、サイノグラムを導出するサイノグラム導出工程と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出工程と、
を備えた測定方法であって、
前記被測定物は、第一被測定物と、第二被測定物とを有し、
前記測定方法が、
前記位相導出工程の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出工程を備え、
前記サイノグラム導出工程が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物と前記第二被測定物との屈折率差についてのサイノグラムを導出する、
測定方法。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured, an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured, and the object to be measured A measuring method using an electromagnetic wave measuring device comprising a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through and the measured object intersects the measured object,
Based on the detection result of the electromagnetic wave detector, a phase deriving step for deriving a phase in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
A sinogram derivation step for deriving a sinogram based on the derivation result of the phase derivation step;
An image deriving step for deriving an image of a cross section of the object to be measured including the intersecting portion based on the sinogram;
A measuring method comprising:
The measured object has a first measured object and a second measured object,
The measurement method is
Based on the derivation result of the phase derivation step, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test. A group delay deriving step for deriving a second group delay;
The sinogram derivation step derives a sinogram for a difference in refractive index between the first object to be measured and the second object to be measured based on a difference between the first group delay and the second group delay;
Measuring method.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定方法であって、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出工程と、
前記位相導出工程の導出結果に基づき、サイノグラムを導出するサイノグラム導出工程と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出工程と、
を備えた測定方法であって、
前記被測定物は、第一被測定物と、第二被測定物とを有し、
前記測定方法が、
前記位相導出工程の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出工程を備え、
前記サイノグラム導出工程が、前記第一群遅延に基づく第一サイノグラムおよび前記第二群遅延に基づく第二サイノグラムを導出し、
前記画像導出工程が、前記第一サイノグラムに基づく前記第一被測定物の断面の画像および前記第二サイノグラムに基づく前記第二被測定物の断面の画像を導出し、前記第一被測定物の断面の画像および前記第二被測定物の断面の画像の差分として、前記第一被測定物と前記第二被測定物との群遅延差を示す画像を導出する、
測定方法。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured, an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured, and the object to be measured A measuring method using an electromagnetic wave measuring device comprising a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through and the measured object intersects the measured object,
Based on the detection result of the electromagnetic wave detector, a phase deriving step for deriving a phase in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
A sinogram derivation step for deriving a sinogram based on the derivation result of the phase derivation step;
An image deriving step for deriving an image of a cross section of the object to be measured including the intersecting portion based on the sinogram;
A measuring method comprising:
The measured object has a first measured object and a second measured object,
The measurement method is
Based on the derivation result of the phase derivation step, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test. A group delay deriving step for deriving a second group delay;
The sinogram derivation step derives a first sinogram based on the first group delay and a second sinogram based on the second group delay;
The image deriving step derives an image of a cross section of the first object to be measured based on the first sinogram and an image of a cross section of the second object to be measured based on the second sinogram, Deriving an image indicating a group delay difference between the first device to be measured and the second device to be measured as a difference between the image of the cross section and the image of the cross section of the second device to be measured;
Measuring method.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムであって、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、
前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、
前記位相導出処理の導出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における分散を導出する分散導出処理と、
をコンピュータに実行させるためのプログラムであり、
前記サイノグラム導出処理が、前記分散についてのサイノグラムを導出する、
プログラム。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured, an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured, and the object to be measured Causing a computer to execute a measurement process using an electromagnetic wave measuring apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the crossing and the measured object intersects the measured object A program for
Based on the detection result of the electromagnetic wave detector, a phase derivation process for deriving a phase in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
A sinogram derivation process for deriving a sinogram based on the derivation result of the phase derivation process;
Based on the sinogram, an image derivation process for deriving an image of a cross section of the object to be measured including the intersecting portion;
Based on a derivation result of the phase derivation process, a dispersion derivation process for deriving a dispersion in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
Is a program for causing a computer to execute
The sinogram derivation process derives a sinogram for the variance;
program.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムであって、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、
前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、
をコンピュータに実行させるためのプログラムであって、
前記被測定物は、第一被測定物と、第二被測定物とを有し、
前記位相導出処理の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出処理をさらにコンピュータに実行させるためのプログラムであり、
前記サイノグラム導出処理が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物と前記第二被測定物との屈折率差についてのサイノグラムを導出する、
プログラム。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured, an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured, and the object to be measured Causing a computer to execute a measurement process using an electromagnetic wave measuring apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the crossing and the measured object intersects the measured object A program for
Based on the detection result of the electromagnetic wave detector, a phase derivation process for deriving a phase in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
A sinogram derivation process for deriving a sinogram based on the derivation result of the phase derivation process;
Based on the sinogram, an image derivation process for deriving an image of a cross section of the object to be measured including the intersecting portion;
A program for causing a computer to execute
The measured object has a first measured object and a second measured object,
Based on the derivation result of the phase derivation process, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test. A program for causing a computer to further execute a group delay derivation process for deriving a second group delay,
The sinogram derivation process derives a sinogram for the refractive index difference between the first device under test and the second device under test based on the difference between the first group delay and the second group delay.
program.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムであって、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、
前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、
をコンピュータに実行させるためのプログラムであって、
前記被測定物は、第一被測定物と、第二被測定物とを有し、
前記位相導出処理の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出処理をさらにコンピュータに実行させるためのプログラムであり、
前記サイノグラム導出処理が、前記第一群遅延に基づく第一サイノグラムおよび前記第二群遅延に基づく第二サイノグラムを導出し、
前記画像導出処理が、前記第一サイノグラムに基づく前記第一被測定物の断面の画像および前記第二サイノグラムに基づく前記第二被測定物の断面の画像を導出し、前記第一被測定物の断面の画像および前記第二被測定物の断面の画像の差分として、前記第一被測定物と前記第二被測定物との群遅延差を示す画像を導出する、
プログラム。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured, an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured, and the object to be measured Causing a computer to execute a measurement process using an electromagnetic wave measuring apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the crossing and the measured object intersects the measured object A program for
Based on the detection result of the electromagnetic wave detector, a phase derivation process for deriving a phase in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
A sinogram derivation process for deriving a sinogram based on the derivation result of the phase derivation process;
Based on the sinogram, an image derivation process for deriving an image of a cross section of the object to be measured including the intersecting portion;
A program for causing a computer to execute
The measured object has a first measured object and a second measured object,
Based on the derivation result of the phase derivation process, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test. A program for causing a computer to further execute a group delay derivation process for deriving a second group delay,
The sinogram derivation process derives a first sinogram based on the first group delay and a second sinogram based on the second group delay;
The image deriving process derives an image of a cross section of the first object to be measured based on the first sinogram and an image of a cross section of the second object to be measured based on the second sinogram, Deriving an image indicating a group delay difference between the first device to be measured and the second device to be measured as a difference between the image of the cross section and the image of the cross section of the second device to be measured;
program.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、
前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、
前記位相導出処理の導出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における分散を導出する分散導出処理と、
をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であり、
前記サイノグラム導出処理が、前記分散についてのサイノグラムを導出する、
記録媒体。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured, an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured, and the object to be measured Causing a computer to execute a measurement process using an electromagnetic wave measuring apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the crossing and the measured object intersects the measured object A computer-readable recording medium having a program recorded thereon,
Based on the detection result of the electromagnetic wave detector, a phase derivation process for deriving a phase in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
A sinogram derivation process for deriving a sinogram based on the derivation result of the phase derivation process;
Based on the sinogram, an image derivation process for deriving an image of a cross section of the object to be measured including the intersecting portion;
Based on a derivation result of the phase derivation process, a dispersion derivation process for deriving a dispersion in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
Is a computer-readable recording medium recording a program for causing a computer to execute
The sinogram derivation process derives a sinogram for the variance;
recoding media.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、
前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、
をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、
前記被測定物は、第一被測定物と、第二被測定物とを有し、
前記位相導出処理の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出処理をさらにコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であり、
前記サイノグラム導出処理が、前記第一群遅延と前記第二群遅延との差分に基づき、前記第一被測定物と前記第二被測定物との屈折率差についてのサイノグラムを導出する、
記録媒体。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured, an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured, and the object to be measured Causing a computer to execute a measurement process using an electromagnetic wave measuring apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the crossing and the measured object intersects the measured object A computer-readable recording medium having a program recorded thereon,
Based on the detection result of the electromagnetic wave detector, a phase derivation process for deriving a phase in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
A sinogram derivation process for deriving a sinogram based on the derivation result of the phase derivation process;
Based on the sinogram, an image derivation process for deriving an image of a cross section of the object to be measured including the intersecting portion;
A computer-readable recording medium storing a program for causing a computer to execute
The measured object has a first measured object and a second measured object,
Based on the derivation result of the phase derivation process, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test. A computer-readable recording medium recording a program for causing a computer to further execute a group delay derivation process for deriving a second group delay,
The sinogram derivation process derives a sinogram for the refractive index difference between the first device under test and the second device under test based on the difference between the first group delay and the second group delay.
recoding media.
被測定物に向けて、0.01[THz]以上100[THz]以下の周波数の電磁波を出力する電磁波出力器と、前記被測定物を透過した前記電磁波を検出する電磁波検出器と、前記被測定物を透過する前記電磁波の光路と前記被測定物とが交差する交差部分の前記被測定物に対する相対位置を変化させる相対位置変化部とを備えた電磁波測定装置を用いた測定処理をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、
前記電磁波検出器の検出結果に基づき、前記被測定物を透過した前記電磁波の周波数領域における位相を導出する位相導出処理と、
前記位相導出処理の導出結果に基づき、サイノグラムを導出するサイノグラム導出処理と、
前記サイノグラムに基づき、前記交差部分を含む前記被測定物の断面の画像を導出する画像導出処理と、
をコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であって、
前記被測定物は、第一被測定物と、第二被測定物とを有し、
前記位相導出処理の導出結果に基づき、前記第一被測定物を透過した前記電磁波の周波数領域における第一群遅延と、前記第二被測定物を透過した前記電磁波の周波数領域における群遅延である第二群遅延とを導出する群遅延導出処理をさらにコンピュータに実行させるためのプログラムを記録したコンピュータによって読み取り可能な記録媒体であり、
前記サイノグラム導出処理が、前記第一群遅延に基づく第一サイノグラムおよび前記第二群遅延に基づく第二サイノグラムを導出し、
前記画像導出処理が、前記第一サイノグラムに基づく前記第一被測定物の断面の画像および前記第二サイノグラムに基づく前記第二被測定物の断面の画像を導出し、前記第一被測定物の断面の画像および前記第二被測定物の断面の画像の差分として、前記第一被測定物と前記第二被測定物との群遅延差を示す画像を導出する、
記録媒体。
An electromagnetic wave output device that outputs an electromagnetic wave having a frequency of 0.01 [THz] or more and 100 [THz] or less toward an object to be measured, an electromagnetic wave detector that detects the electromagnetic wave transmitted through the object to be measured, and the object to be measured Causing a computer to execute a measurement process using an electromagnetic wave measuring apparatus including a relative position changing unit that changes a relative position of the crossing portion where the optical path of the electromagnetic wave passing through the crossing and the measured object intersects the measured object A computer-readable recording medium having a program recorded thereon,
Based on the detection result of the electromagnetic wave detector, a phase derivation process for deriving a phase in the frequency domain of the electromagnetic wave that has passed through the object to be measured;
A sinogram derivation process for deriving a sinogram based on the derivation result of the phase derivation process;
Based on the sinogram, an image derivation process for deriving an image of a cross section of the object to be measured including the intersecting portion;
A computer-readable recording medium storing a program for causing a computer to execute
The measured object has a first measured object and a second measured object,
Based on the derivation result of the phase derivation process, the first group delay in the frequency domain of the electromagnetic wave transmitted through the first device under test and the group delay in the frequency domain of the electromagnetic wave transmitted through the second device under test. A computer-readable recording medium recording a program for causing a computer to further execute a group delay derivation process for deriving a second group delay,
The sinogram derivation process derives a first sinogram based on the first group delay and a second sinogram based on the second group delay;
The image deriving process derives an image of a cross section of the first object to be measured based on the first sinogram and an image of a cross section of the second object to be measured based on the second sinogram, Deriving an image indicating a group delay difference between the first device to be measured and the second device to be measured as a difference between the image of the cross section and the image of the cross section of the second device to be measured;
recoding media.
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