WO2022070395A1 - 二次元材料の光学非線形性の測定方法 - Google Patents
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- G—PHYSICS
- G02—OPTICS
- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/35—Non-linear optics
- G02F1/3526—Non-linear optics using two-photon emission or absorption processes
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/41—Refractivity; Phase-affecting properties, e.g. optical path length
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/62—Systems in which the material investigated is excited whereby it emits light or causes a change in wavelength of the incident light
- G01N21/63—Systems in which the material investigated is excited whereby it emits light or causes a change in wavelength of the incident light optically excited
- G01N21/636—Systems in which the material investigated is excited whereby it emits light or causes a change in wavelength of the incident light optically excited using an arrangement of pump beam and probe beam; using the measurement of optical non-linear properties
-
- G—PHYSICS
- G02—OPTICS
- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/35—Non-linear optics
-
- G—PHYSICS
- G02—OPTICS
- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/35—Non-linear optics
- G02F1/365—Non-linear optics in an optical waveguide structure
Definitions
- the present invention relates to a method for measuring optical non-linearity of a two-dimensional material.
- the structure in which the substance is ultimately thinned into one atomic layer is called a two-dimensional substance (material).
- a two-dimensional substance material
- graphene made of graphite as a single-layer sheet of carbon atoms has unique properties different from graphite, and is expected to be applied to optoelectronic devices.
- Non-Patent Documents 1 to 3 As a method for measuring optical nonlinearity, a method using various nonlinear optical effects such as Z scan, optical heterodyne detection, induced four-wave mixing, self-phase modulation, and harmonic generation is known.
- the Z-scan method is a simple method of irradiating a sample with a focused laser beam and measuring a change in the intensity of transmitted light while scanning the sample along the traveling direction of the light.
- measurement results using a Z-scan method for the non-linear refractive index of graphene have been reported (Non-Patent Documents 1 to 3).
- Non-Patent Documents 1 to 3 there are variations due to the method of manufacturing the device, experimental conditions, the presence or absence of contribution of free carriers, and the like.
- the variation in the measured values of graphene's nonlinear index by the Z scan method is in the range of 3 digits ( 10-11 to 10-13 m 2 / W) mainly due to the presence or absence of the contribution of nonlinearity derived from free carriers. ).
- the optical non-linearity of a two-dimensional material it is difficult to distinguish between the optical non-linearity of the material (base material) loaded with the two-dimensional material and the optical non-linearity of the two-dimensional material itself.
- base material the base material of the optical waveguide and the two-dimensional material interact with each other.
- the non-linear coefficient of the two-dimensional material deviates from the material-specific value (non-linear refractive index) when the two-dimensional material exists alone, and indicates a value depending on the optical waveguide structure.
- the non-linear refractive index of the two-dimensional material loaded in the optical waveguide of a specific structure will be observed as a non-linear coefficient that changes depending on the optical waveguide structure.
- the present invention has been made in view of the above problems, the purpose of which is to suppress the contribution of non-linearity derived from free carriers, and the optical non-linearity of the base material loaded with the two-dimensional material and the optical non-linearity of the two-dimensional material. It is an object of the present invention to provide a method for measuring optical nonlinearity that can be distinguished from the above.
- One aspect of the invention is a method of measuring the nonlinear optical properties of a two-dimensional material, the step comprising a plurality of test devices including an optical waveguide partially loaded with two-dimensional materials of different structures.
- the two-dimensional material has different lengths along the optical waveguide axial direction, simultaneous counting of photon pairs generated in the optical waveguide by injecting a pump optical pulse for each of the steps and the test device.
- Fitting the step to measure the rate and the theoretical value-based simultaneous coefficient factor of the photon pair obtained based on the coupled wave equation to the measured value-based simultaneous coefficient factor obtained in the measurement and corresponding to the different lengths.
- the step is to obtain the nonlinear coefficient ⁇ 1 of the single optical waveguide and the nonlinear coefficient ⁇ 2 of the optical waveguide loaded with the two-dimensional material from the fitted simultaneous coefficient rate based on the theoretical value.
- the method is to obtain the nonlinear coefficient ⁇ 1 of the single optical waveguide and the nonlinear coefficient ⁇ 2 of the optical waveguide loaded with the two-dimensional material from
- the present invention provides a measurement method that suppresses the contribution of non-linearity derived from free carriers and distinguishes between the optical non-linearity of a base material loaded with a two-dimensional material and the optical non-linearity of a two-dimensional material.
- the optical nonlinearity measuring method of the present disclosure utilizes photon pair production by a spontaneous four-wave light mixing process to observe photon pairs using an optical waveguide loaded with a two-dimensional material. Compared to the Z-scan method, the effect of free carriers on the non-linear index of refraction is only indirect. With the length of the loaded two-dimensional material in the optical waveguide direction as a parameter, the theoretical value of the simultaneous counting rate of photon pairs based on the coupled wave equation is fitted (fitted) to the measured value of the simultaneous counting rate of photon pairs.
- the theoretical value based on the coupled wave equation is adjusted to the measured value in the state reflecting the structure of the optical waveguide loaded with the two-dimensional material, and the nonlinear coefficients ⁇ 1 and ⁇ 2 at that time are calculated. demand. Furthermore, the measured non-linear coefficients ⁇ 1 and ⁇ 2 obtained by fitting are compared with the theoretical values of the non-linear coefficients ⁇ 1 and ⁇ 2 calculated from the electric field distribution in the cross-sectional direction of the optical waveguide based on the assumed value of the non-linear refractive index. do. The hypothetical value when the measured value obtained by fitting and the theoretical value obtained based on the electric field distribution match can also be obtained as the true value of the nonlinear refractive index.
- Non-Patent Documents 1 to 3 of the prior art.
- the contribution of non-linearity derived from free carriers means the change in refractive index caused by free carriers induced when a substance is irradiated with light.
- the non-linear refractive index in the non-linear optical property corresponds to the change in the refractive index (optical Kerr effect) caused by the constrained carrier according to the intensity of the light irradiating the substance.
- the Z-scan method measures nonlinear optical characteristics by observing a phenomenon in which a substance acts like a lens and the light is narrowed down (optical car lens effect) due to a change in the refractive index that occurs according to the intensity of the light irradiating the substance. It is a method to do. In the Z scan method, not only the change in the refractive index caused by the bound carrier (optical Kerr effect) but also the change in the refractive index caused by the free carrier is directly observed at the same time.
- Four-wave mixing is known as a nonlinear optical phenomenon in which when a substance is irradiated with pump light of a certain wavelength, light of another wavelength satisfying the phase matching conditions (energy conservation law and momentum conservation law) is generated.
- Four-wave mixing differs from the Z-scan method in that the change in the refractive index of the target substance caused by free carriers affects only indirectly.
- a possible indirect effect is the phase modulation of the pump light due to the change in the refractive index caused by the free carriers.
- the shape of the optical waveguide used for the measurement and the input pump light power so as to satisfy the phase matching condition, the influence of the phase modulation of the pump light can be sufficiently suppressed.
- Photon pair generation by the spontaneous four-wave mixing process has been actively studied as an experimental method of photon pair generation used in fields such as quantum optics and quantum information.
- the method for measuring optical nonlinearity of the present disclosure photon pair production by a spontaneous four-wave mixing process is used to observe photon pair production using an optical waveguide loaded with a two-dimensional material, and simultaneous counting theoretically obtained.
- the configuration and procedure of the method for measuring the nonlinear optical characteristics of the present disclosure will be described with reference to the drawings.
- FIG. 1 is a schematic diagram of a measurement system of a method for measuring the nonlinear optical characteristics of the two-dimensional material of the present disclosure.
- the measurement system 100 includes a pump optical pulse generation unit 1, an optical waveguide 2 partially loaded with a two-dimensional material, a pump optical pulse filter 3, a filter 4 for separating generated photon pairs, and a detection unit 5.
- the pump light pulse generation unit 1 generates a pump light pulse 8 in which the wavelength, the time width, the repetition frequency, the light power, and the polarization are controlled.
- the pump optical pulse 8 output from the pump optical pulse generation unit 1 is incident on the optical waveguide 2 having a waveguide length L partially loaded with the two-dimensional material 6.
- the optical waveguide 2 is composed of an optical waveguide core 7 made on a substrate and having no overclad, and a two-dimensional material 6 attached on the core 7.
- the incident pump light pulse 8 triggers a spontaneous four-wave mixing process in the optical waveguide 2 partially loaded with the two-dimensional material 6 to produce photon pairs of different wavelengths, namely the signal photon 9 and the idler photon 10. ..
- the pump optical pulse propagating through the optical waveguide 2 is removed by the filter 3 of the pump optical pulse.
- the photon pair generated in the optical waveguide 2 is separated into a signal photon and an idler photon by the filter 4 and incident on the detection unit 5.
- the detection unit 5 detects the signal photon and the idler photon with a single photon detector, respectively, and measures the coincidence counting rate.
- the length L1 of the input waveguide up to the two-dimensional material 6 and the length L2 of the two -dimensional material are changed as structural parameters.
- Coincidence counting is measured for a number of different combinations of L 1 and L 2 . That is, a plurality of test devices including an optical waveguide partially loaded with two-dimensional materials having different structures are prepared. In each of the plurality of test devices, the two-dimensional material has different lengths along the optical waveguide axial direction.
- the coincidence counting rate of the photon pairs was obtained, and from the plot points and theoretical value curves of the L 2 -simultaneous counting rate space, the non-linear coefficient as described later.
- ⁇ the relationship between the non-linear refractive index n 2 and the non-linear coefficient ⁇ is defined as follows.
- Non-linear refractive index n 2 An index showing optical non-linearity peculiar to a material
- Non-linear coefficient ⁇ An index showing optical non-linearity depending on the electric field distribution of light propagating in an optical waveguide
- the non-linearity coefficient ⁇ can be rephrased as the effective optical nonlinearity felt by light depending on the structure of the optical waveguide, whereas it is a value determined by the material itself regardless of the structure of the optical waveguide. Once the material and shape are determined, the "non-linear refractive index n 2 " and "non-linear coefficient ⁇ " have a one-to-one correspondence with the following equation (1).
- ⁇ is the wavelength of light
- E (x, y) is the electric field distribution in the cross-sectional direction of the light propagating in the optical waveguide
- n 2 (x, y) is the non-linear refractive index distribution in the cross-sectional direction of the optical waveguide.
- the theoretical value ⁇ theory of the coincidence counting obtained by the theoretical equation based on the coupled wave equation is used as the nonlinear coefficient ⁇ 1 and Fitting is performed by adjusting to the measured value while changing ⁇ 2 .
- the curve of the theoretical value ⁇ theory is fitted to a plurality of plot points of the coincidence counting rate for different structures of different optical waveguides of L1 and L2. Determined by the material and structure of the optical waveguide 2 partially loaded with the two-dimensional material 6 by determining the nonlinear coefficients ⁇ 1 and ⁇ 2 when the theoretical value of the coincidence count best matches the plot point of the measured value.
- the non-linear coefficient to be calculated is obtained.
- the propagation loss ⁇ 1 of the optical waveguide alone and the propagation loss ⁇ 2 of the optical waveguide loaded with a two-dimensional material are measured by the method of measuring the propagation loss of the optical waveguide such as the cutback method, respectively. It can be obtained independently of the method.
- Various methods can be selected for fitting the curve of the theoretical value ⁇ theory to the plurality of plot points of the above-mentioned coincidence counting rate, and the method is not limited to a specific one here.
- there is a method using a nonlinear least squares method such as the Levenberg-Marquardt method.
- the nonlinear coefficients ⁇ 1 and ⁇ 2 when the theoretical value of the coincidence count best matches the plot of the measured value have specific structures, respectively. It is a non-linear coefficient based on the measured value in the state of the optical waveguide alone and the state where the two-dimensional material is loaded in the optical waveguide. Furthermore, by comparing the determined non-linear coefficient based on the measured value with the theoretical value-based nonlinear coefficients ⁇ 1 and ⁇ 2 theoretically obtained by electric field analysis of the optical waveguide of a specific structure, the material of the optical waveguide and It is also possible to obtain the value of the nonlinear refractive index of each of the loaded two-dimensional materials.
- the value of the non-linear refractive index of the material of the optical waveguide is set as a hypothetical value.
- the nonlinear coefficient ⁇ 1 based on the theoretical value of the optical waveguide alone is calculated from the electric field distribution in the cross-sectional direction of the optical waveguide obtained by a numerical calculation method such as the finite element method or the time domain difference method.
- the obtained theoretical value-based nonlinear coefficient ⁇ 1 is compared with the measured value-based nonlinear coefficient ⁇ 1 obtained from the fitting, and the difference is evaluated.
- the assumed value of the nonlinear refractive index of the material of the optical waveguide is changed, and the theoretical value-based nonlinear coefficient ⁇ 1 is obtained from the updated assumed value to evaluate the difference. repeat. If the difference becomes smaller than the first predetermined value and the nonlinear coefficient ⁇ 1 based on the theoretical value and the measured value is sufficiently matched, the assumed value of the nonlinear refractive index of the material of the optical waveguide at this time (current assumption). Value) is determined as the true value of the non-linear index of refraction of the material of the optical waveguide.
- the non-linear refractive index of the two-dimensional material is obtained by the same procedure as that for obtaining the true value of the non-linear refractive index of the material of the optical waveguide described above. That is, this time, the value of the non-linear refractive index of the two-dimensional material is set as the assumed value. Using this assumption and the true value of the non-linear refractive index of the optical waveguide material obtained in the above procedure, the theoretical value-based non-linearity of the optical waveguide loaded with a two-dimensional material is obtained from the electric field distribution in the cross-sectional direction of the optical waveguide. Calculate the coefficient ⁇ 2 .
- the difference is evaluated by comparing the obtained theoretical value-based nonlinear coefficient ⁇ 2 with the measured value-based nonlinear coefficient ⁇ 2 obtained from the fitting. If this difference is equal to or greater than the second predetermined value, the assumed value of the nonlinear refractive index of the two-dimensional material is changed, the nonlinear coefficient ⁇ 2 based on the theoretical value is obtained from the updated assumed value, and the evaluation of the difference is repeated. If the difference becomes smaller than the second predetermined value and the nonlinear coefficient ⁇ 2 based on the theoretical value and the measured value sufficiently matches, the assumed value of the nonlinear refractive index of the two-dimensional material at this time (current assumed value). ) Is determined as the true value of the non-linear index of refraction of the two-dimensional material.
- FIG. 2 is a flowchart showing a rough procedure of the method for measuring the nonlinear optical characteristics of the present disclosure.
- the measurement method 200 is started as a process of acquiring a nonlinear coefficient based on an actually measured value (S201).
- a two-dimensional material is formed on a part of the area of the core of the optical waveguide to prepare an optical waveguide having a different structure loaded with the two-dimensional material. For example, the position (L 1 , corresponding to the length of the input waveguide) and length (L 2 ) of the two-dimensional material in the optical waveguide axial direction can be changed.
- the coincidence counting rate of signal photons and idler photons is measured from an optical waveguide provided with two-dimensional materials having different lengths in the direction of the optical waveguide by the measurement system having the configuration shown in FIG.
- the generation of photon pairs is detected and the measured value of the coincidence counting rate ⁇ per pulse is obtained.
- FIG. 3 is a diagram showing the coincidence counting rate of photon pairs using an optical waveguide loaded with a two-dimensional material.
- FIG. 3 shows the simultaneous count rate of photon pairs when an optical pulse modulated with a time width of 20 ps and a repetition frequency of 1 GHz is incident on a graphene-loaded silicon optical waveguide in an embodiment described later.
- the horizontal axis represents the length L 2 (mm: see FIG. 1) of the loaded graphene, and the vertical axis represents the coincidence counting rate ⁇ of the generated photon pairs per pulse.
- the plot points in FIG. 3 correspond to the measured values of the coincidence counting rates for devices having different structures in which L 1 and L 2 are changed in S202 of the flowchart of FIG.
- the solid line in FIG. 3 is a theoretical curve obtained by fitting while changing the nonlinear coefficients ⁇ 1 and ⁇ 2 using the theoretical equations (2) to (4) of the simultaneous coefficient ratio of the photon pair based on the coupled wave equation. ⁇ theory .
- FIG. 3 shows a state in which the fitting is completed, and the nonlinear coefficients ⁇ 1 and ⁇ 2 that give the fitting curve can be obtained, respectively.
- the measurement method of the present disclosure is a method of measuring the nonlinear optical properties of a two-dimensional material, which is a step including a plurality of test devices including an optical waveguide partially loaded with two-dimensional materials having different structures.
- the two-dimensional material has different lengths along the optical waveguide axial direction, simultaneous counting of photon pairs generated in the optical waveguide by injecting a pump optical pulse for each of the steps and the test device.
- Fitting the step to measure the rate and the theoretical value-based simultaneous coefficient factor of the photon pair obtained based on the coupled wave equation to the measured value-based simultaneous coefficient factor obtained in the measurement and corresponding to the different lengths.
- the step is to obtain the nonlinear coefficient ⁇ 1 of the single optical waveguide and the nonlinear coefficient ⁇ 2 of the optical waveguide loaded with the two-dimensional material from the fitted simultaneous coefficient rate based on the theoretical value. It can be implemented as a method.
- the non-linear refractive index of the material of the optical waveguide is set as an assumed value, and the theoretical value of the non-linear coefficient ⁇ 1 is obtained by electric field analysis using a numerical calculation method such as a finite element method or a time domain difference method.
- the difference value obtained in S205 is compared and determined with the first predetermined value. If the difference value is equal to or greater than the first predetermined value (threshold value) (Y), the process proceeds to S207 to change the assumed value of the non-linear refractive index of the material of the optical waveguide set in S204. Steps S204-206 are repeated with updated assumptions of the non-linear index of refraction. If the difference value is smaller than the predetermined value (N), the process proceeds to S208.
- the nonlinear refractive index of the two-dimensional material is set as an assumed value
- the nonlinear refractive index of the material of the optical waveguide is fixed to the true value determined by S208, and the numerical values of the finite element method, the time region difference method, etc.
- the theoretical value of the nonlinear index ⁇ 2 is obtained by electric field analysis using a calculation method.
- the difference value obtained in S210 and the second predetermined value are compared and determined. If the difference value is at least a second predetermined value (threshold value) (Y), the process proceeds to S212, and the assumed value of the nonlinear refractive index of the two-dimensional material set in S209 is changed. Steps S209 to 211 are repeated with updated assumptions of the non-linear index of refraction. If the difference value is smaller than the second predetermined value (N), the process proceeds to S213.
- the non-linear refractive index of the base material (S204 to 208) and the non-linear refractive index of the two-dimensional material (S209 to 213) can be determined separately.
- FIG. 4 is a diagram showing a configuration example of a system for measuring nonlinear optical characteristics of graphene using a graphene-loaded silicon optical waveguide.
- the measurement system 300 has a configuration corresponding to the measurement system 100 shown in FIG. 1, and shows a more specific configuration example of each part. That is, the measurement system 300 includes a pump optical pulse generation unit 1, an optical waveguide 2 partially loaded with a two-dimensional material, a pump optical pulse filter 3, a generated photon pair separation filter 4, and a detection unit 5.
- the pump optical pulse generation unit 1 includes a continuous wave (CW) laser 11, an optical intensity modulator 12, an erbium-doped optical fiber amplifier (EDFA) 13, a bandpass filter (BPF) 14, and a fiber polarization controller 15.
- the optical fiber-coupled CW laser 11 as a light source outputs CW light 31 having a wavelength of 1551.1 nm.
- the CW light 31 is modulated into an optical pulse having a time width of 20 ps and a repetition frequency of 1 GHz by using a light intensity modulator 12.
- the pulse-modulated light wave is amplified to an appropriate level of light power using EDFA13.
- the BPF 14 is used to remove the spontaneously emitted light amplified by the EDFA 13.
- the output light from the BPF 14 is adjusted to TE polarization using the fiber polarization controller 15, and the pump light pulse 32 is input to the optical waveguide 2.
- the optical waveguide 2 is a test device 16 including a graphene-loaded silicon optical waveguide, and overclads 23a and 23b made of SiO 2 are formed on the input side and the output side of the silicon optical waveguide.
- the central portion of the silicon optical waveguide of the test device 16 has an air-clad structure in which air is clad, and the two-dimensional material 24 is partially loaded on the core 22.
- the pump optical pulse 32 is incident via a spot size converter formed on the input side of the core 22 using a lensed fiber.
- the pump optical pulse indicated by the three arrows and the generated photon pair are emitted using a lensed fiber via a spot size transducer formed on the output side of the silicon optical waveguide of the test device 16.
- the emitted pump light pulse is removed by using the notch filter 17 corresponding to the filter 3 of the pump light pulse.
- the photon pair transmitted through the notch filter 17 is separated into a signal photon (1546.1 nm) and an idler photon (1556.0 nm) by a wavelength division multiplexing (WDM) filter 18 (photon pair separation filter 4) having a bandwidth of 0.12 THz. , Is incident on the detection unit 5.
- the detection unit 5 detects the signal photon 33 and the idler photon 34 with the corresponding single photon detectors 19a and 19b, respectively, and measures the coincidence counting rate using the time-digital converter (TDC) 20.
- TDC time-digital converter
- the present invention is not limited to the above procedure and the examples, and various changes can be made.
- graphene is used as the two-dimensional material, but other two-dimensional materials (boron nitride, molybdenum sulfide, tungsten sulfide, etc.) can also be used to measure the nonlinear optical characteristics in the same manner. be able to.
- silicon is used as the material of the optical waveguide, but other materials (silica, silicon nitride, gallium arsenide, indium phosphide, etc.) can also be used.
- silicon silicon nitride, gallium arsenide, indium phosphide, etc.
- a material such as silica having a nonlinear refractive index as small as possible as the material of the optical waveguide to be loaded.
- an optical element in a communication wavelength band that is relatively easily available is used, but even if an optical element in another wavelength band is used, it is the same as long as the spontaneous four-wave mixing process can be used. Non-linear optical characteristics can be measured.
- the photon pair generation by the spontaneous four-light wave mixing process in the measurement method of the present disclosure is a nonlinear optical phenomenon that satisfies the phase matching condition, and the contribution of the optical nonlinearity derived from the free carrier is indirectly influenced by the phase modulation of the pump light. It is possible to measure the optical non-linearity by suppressing the contribution of the optical non-linearity derived from the free carrier.
- the theoretical formula of the simultaneous coefficient factor of the photon pair based on the coupled wave equation in the measurement method of the present disclosure includes the parameter dependence in the axial direction of the optical waveguide, the optical waveguide alone and the optical waveguide loaded with a two-dimensional material are non-linear.
- the coefficients ⁇ 1 and ⁇ 2 can be measured separately.
- the present invention can be used to measure the optical non-linearity of two-dimensional materials applicable to optical devices.
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Abstract
Description
非線形係数γ:光導波路を伝搬する光の電場分布に依存する光学非線形性を表す指標
上記の定義より、非線形屈折率n2は、光導波路の構造には関係なく材料自体で決定される値であるのに対し、非線形係数γは、光導波路の構造に依存して光が感じる実効的な光学非線形性と言い換えることもできる。材料および形状が決まれば、「非線形屈折率n2」および「非線形係数γ」は下の式(1)で、一対一に対応する。
上記のパラメータの内、光導波路単体の伝搬損失α1および二次元材料を装荷した光導波路の伝搬損失α2は、それぞれ、カットバック法等の光導波路の伝搬損失を測定する方法によって、本測定方法とは独立して求めることができる。上述の同時計数率の複数のプロット点に、理論値μtheoryの曲線を合わせ込む手法は、様々なものを選択可能であって、ここでは特定のものには限定されない。一例を挙げれば、レーベンバーグ・マーカート法等の非線形最小二乗法を用いる手法がある。
Claims (5)
- 二次元材料の非線形光学特性を測定する方法であって、
異なる構造の二次元材料を部分的に装荷した光導波路を含む複数の試験デバイスを備えるステップであって、前記二次元材料は光導波路軸方向に沿って異なる長さを有している、ステップと、
前記試験デバイスの各々について、ポンプ光パルスを入射して、前記光導波路において生成する光子対の同時計数率を測定するステップと、
結合波動方程式に基づいて得られる光子対の理論値ベースの同時係数率を、前記異なる長さに対応する実測値ベースの同時係数率にフィッティングするステップと、
前記フィッティングされた前記理論値ベースの同時係数率から、前記光導波路の単体の非線形係数γ1および前記二次元材料を装荷した前記光導波路の非線形係数γ2を求めるステップと
を備える方法。 - 前記光子対は、シグナル光子およびアイドラー光子であって、前記ポンプ光パルスとの関係で前記光子対が位相整合条件を満たす自発四光波混合過程によって生成されることを特徴とする請求項1に記載の方法。
- 前記フィッティングするステップは、
前記結合波動方程式における二次元材料の長さに対する前記理論値ベースの同時係数率の曲線を、前記二次元材料の前記異なる長さに対する前記測定された同時計数率の複数のプロット点に合わせ込み、
前記曲線および前記複数のプロット点の間の一致を判断し、
前記一致するときの前記非線形係数γ1およびγ2を求めること
を含むことを特徴とする請求項1に記載の方法。 - 前記光導波路の材料の非線形屈折率の仮定値を設定するステップと、
前記仮定値に基づいて、数値計算により得られる前記光導波路の断面方向の電場分布から、非線形係数γ1の理論値を計算するステップと、
フィッティングによって得られた非線形係数γ1の実測値と、前記電場分布から得られた非線形係数γ1の前記理論値との差分を評価するステップと、
前記差分が第1の所定の値以上である場合に、前記仮定値を更新するステップと、
前記差分が前記第1の所定の値を越えない場合に、現在の仮定値を、前記光導波路の材料の非線形屈折率の真値と決定するステップと、
前記二次元材料の非線形屈折率の仮定値を設定するステップと、
前記二次元材料の非線形屈折率の前記仮定値および前記光導波路の非線形屈折率の前記真値に基づいて、数値計算により得られる前記光導波路の断面方向の電場分布から、非線形係数γ2の理論値を計算するステップと、
フィッティングによって得られた非線形係数γ2の実測値と、前記電場分布から得られた非線形係数γ2の前記理論値との差分を評価するステップと、
前記差分が第2の所定の値以上である場合に、前記仮定値を更新するステップと、
前記差分が前記第2の所定の値を越えない場合に、現在の仮定値を、前記二次元材料の非線形屈折率の真値と決定するステップと
をさらに備えることを特徴とする請求項1に記載の方法。
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Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN117554034A (zh) * | 2024-01-12 | 2024-02-13 | 中国工程物理研究院激光聚变研究中心 | 分布式侧面泵浦光纤耦合系数测量方法、系统及装置 |
CN117554034B (zh) * | 2024-01-12 | 2024-05-28 | 中国工程物理研究院激光聚变研究中心 | 分布式侧面泵浦光纤耦合系数测量方法、系统及装置 |
Citations (8)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2004095124A1 (ja) * | 2003-04-22 | 2004-11-04 | Nihon University | 単一光子発生装置 |
JP2006242771A (ja) * | 2005-03-03 | 2006-09-14 | Hokkaido Univ | 光学特性測定装置、光学特性測定方法、並びに、それに用いるプログラムおよび記録媒体 |
JP2012048042A (ja) * | 2010-08-27 | 2012-03-08 | Oki Electric Ind Co Ltd | 量子相関光子対発生方法及び量子相関光子対発生装置 |
US20160041032A1 (en) * | 2014-08-07 | 2016-02-11 | The University Of Bristol | Spectroscopy apparatus and method |
US20160094342A1 (en) * | 2014-09-30 | 2016-03-31 | Samsung Electronics Co., Ltd. | Photon pair generator and quantum cryptography system employing the same |
JP2016095440A (ja) * | 2014-11-17 | 2016-05-26 | 日本電信電話株式会社 | 多次元量子もつれ状態発生装置 |
US20190391416A1 (en) * | 2018-06-21 | 2019-12-26 | PsiQuantum Corp. | Photon Sources with Multiple Cavities for Generation of Individual Photons |
CN111736405A (zh) * | 2020-06-22 | 2020-10-02 | 清华大学 | 一种基于圆形空气洞超构材料的纠缠光子对产生系统 |
-
2020
- 2020-10-01 JP JP2022553385A patent/JP7393702B2/ja active Active
- 2020-10-01 US US18/245,430 patent/US20240027870A1/en active Pending
- 2020-10-01 WO PCT/JP2020/037482 patent/WO2022070395A1/ja active Application Filing
Patent Citations (8)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2004095124A1 (ja) * | 2003-04-22 | 2004-11-04 | Nihon University | 単一光子発生装置 |
JP2006242771A (ja) * | 2005-03-03 | 2006-09-14 | Hokkaido Univ | 光学特性測定装置、光学特性測定方法、並びに、それに用いるプログラムおよび記録媒体 |
JP2012048042A (ja) * | 2010-08-27 | 2012-03-08 | Oki Electric Ind Co Ltd | 量子相関光子対発生方法及び量子相関光子対発生装置 |
US20160041032A1 (en) * | 2014-08-07 | 2016-02-11 | The University Of Bristol | Spectroscopy apparatus and method |
US20160094342A1 (en) * | 2014-09-30 | 2016-03-31 | Samsung Electronics Co., Ltd. | Photon pair generator and quantum cryptography system employing the same |
JP2016095440A (ja) * | 2014-11-17 | 2016-05-26 | 日本電信電話株式会社 | 多次元量子もつれ状態発生装置 |
US20190391416A1 (en) * | 2018-06-21 | 2019-12-26 | PsiQuantum Corp. | Photon Sources with Multiple Cavities for Generation of Individual Photons |
CN111736405A (zh) * | 2020-06-22 | 2020-10-02 | 清华大学 | 一种基于圆形空气洞超构材料的纠缠光子对产生系统 |
Non-Patent Citations (1)
Title |
---|
EVDOKIA DREMETSIKA; BRUNO DLUBAK; SIMON-PIERRE GORZA; CHARLES CIRET; MARIE-BLANDINE MARTIN; STEPHAN HOFMANN; PIERRE SENEOR; DANIEL: "Measuring the Nonlinear Refractive Index of Graphene using the Optical Kerr Effect Method", ARXIV.ORG, CORNELL UNIVERSITY LIBRARY, 201 OLIN LIBRARY CORNELL UNIVERSITY ITHACA, NY 14853, 4 July 2016 (2016-07-04), 201 Olin Library Cornell University Ithaca, NY 14853 , XP080966497, DOI: 10.1364/OL.41.003281 * |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN117554034A (zh) * | 2024-01-12 | 2024-02-13 | 中国工程物理研究院激光聚变研究中心 | 分布式侧面泵浦光纤耦合系数测量方法、系统及装置 |
CN117554034B (zh) * | 2024-01-12 | 2024-05-28 | 中国工程物理研究院激光聚变研究中心 | 分布式侧面泵浦光纤耦合系数测量方法、系统及装置 |
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