TWI438394B - Three-dimensional measurement method - Google Patents

Three-dimensional measurement method Download PDF

Info

Publication number
TWI438394B
TWI438394B TW101120336A TW101120336A TWI438394B TW I438394 B TWI438394 B TW I438394B TW 101120336 A TW101120336 A TW 101120336A TW 101120336 A TW101120336 A TW 101120336A TW I438394 B TWI438394 B TW I438394B
Authority
TW
Taiwan
Prior art keywords
lens
measured
measurement
wafer
camera
Prior art date
Application number
TW101120336A
Other languages
Chinese (zh)
Other versions
TW201305533A (en
Inventor
Keishi Kubo
Original Assignee
Panasonic Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Panasonic Corp filed Critical Panasonic Corp
Publication of TW201305533A publication Critical patent/TW201305533A/en
Application granted granted Critical
Publication of TWI438394B publication Critical patent/TWI438394B/en

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/20Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring contours or curvatures, e.g. determining profile
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/02Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness
    • G01B11/06Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material
    • G01B11/0608Height gauges
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/24Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
    • G01B11/2408Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures for measuring roundness
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B5/00Measuring arrangements characterised by the use of mechanical techniques
    • G01B5/20Measuring arrangements characterised by the use of mechanical techniques for measuring contours or curvatures
    • G01B5/201Measuring arrangements characterised by the use of mechanical techniques for measuring contours or curvatures for measuring roundness
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B5/00Measuring arrangements characterised by the use of mechanical techniques
    • G01B5/20Measuring arrangements characterised by the use of mechanical techniques for measuring contours or curvatures
    • G01B5/213Measuring arrangements characterised by the use of mechanical techniques for measuring contours or curvatures for measuring radius of curvature

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Length Measuring Devices By Optical Means (AREA)
  • Testing Or Measuring Of Semiconductors Or The Like (AREA)
  • Length Measuring Devices With Unspecified Measuring Means (AREA)
  • Microscoopes, Condenser (AREA)

Description

3次元測定方法3-dimensional measurement method

本發明係關於一種使用探針等測定形狀之3次元測定方法。尤其,本發明係關於在透過光之晶圓之上下表面上形成有複數個透鏡之晶圓透鏡等之測定中,使用設置於3次元測定機之照相機測定晶圓上之定位用之定位標記,而對於利用該照相機測定之定位標記,高精度地求取以測桿等測定之透鏡中心位置之3次元測定方法者。The present invention relates to a three-dimensional measurement method for measuring a shape using a probe or the like. In particular, in the measurement of a wafer lens or the like in which a plurality of lenses are formed on a lower surface of a light-transmissive wafer, a positioning mark for positioning on a wafer is measured using a camera provided in a three-dimensional measuring machine. On the other hand, for the positioning mark measured by the camera, the three-dimensional measurement method of the lens center position measured by the measuring rod or the like is accurately obtained.

行動電話、PDA等之行動機器中附加有照相機功能,且對小型、廉價之照相機之需求飛躍高漲。又使用於該等之照相機之性能對於高像素化之要求亦提高。先前,使用於該等移動機器之透鏡,係在成型機中安裝10~15個左右之透鏡模具,成型之每1射出生產10~15個透鏡,該工法不容易應付生產數量之增加及低成本化。因此,在要求低成本化,且生產數量急劇增加之該等領域中,追求在1片晶圓上成型數百~數千個透鏡,且積層複數片該成型之晶圓,於積層後切割、製造之晶圓透鏡製造之技術。Camera functions are added to mobile devices such as mobile phones and PDAs, and the demand for small, inexpensive cameras is skyrocketing. The performance of the cameras used in such cameras is also increasing for the requirements of high pixelation. Previously, the lens used in these mobile machines was equipped with 10~15 lens molds in the molding machine, and 10 to 15 lenses were produced per shot. This method is not easy to cope with the increase in production quantity and low cost. Chemical. Therefore, in such fields that require low cost and a sharp increase in the number of productions, it is desired to form hundreds to thousands of lenses on one wafer, and laminate a plurality of the formed wafers, and then cut them after lamination. The technology of manufacturing wafer lens manufacturing.

在圖13中顯示晶圓透鏡之構成。其在晶圓101之上下表面上成型透鏡102,且在上表面之周邊形成複數個定位用之定位標記103。成為以使該定位標記103重疊之方式積層晶圓101而完成透鏡單元之構成。The structure of the wafer lens is shown in FIG. It forms a lens 102 on the lower surface of the wafer 101, and forms a plurality of positioning marks 103 for positioning on the periphery of the upper surface. The wafer 101 is laminated so that the alignment marks 103 overlap, and the lens unit is completed.

利用積層構成透鏡單元之1片之晶圓101之正反面上若透鏡102之中心位置偏離之情形、或積層複數片晶圓101之透 鏡單元中以各個晶圓101上之定位標記為基準之中心位置偏離之情形,會產生影像模糊、無法獲得光學性能等之問題。If the center position of the lens 102 is deviated on the front and back surfaces of the wafer 101 which constitutes one lens unit of the lens unit, or the multilayer wafer 101 is laminated In the case where the center position of the mirror unit is deviated based on the positioning marks on the respective wafers 101, problems such as blurring of the image and inability to obtain optical performance are caused.

另一方面,於該種之晶圓透鏡之製造時,使玻璃基板與用以光硬化樹脂成形之母模之位置一致方法,揭示在專利文獻1中。圖14顯示專利文獻1中記載之位置一致方法之程序。On the other hand, in the production of such a wafer lens, a method of matching the position of the glass substrate and the master mold for forming the photocurable resin is disclosed in Patent Document 1. FIG. 14 shows a procedure of the position matching method described in Patent Document 1.

圖14中,符號104係母模109之定位標記,符號105係玻璃基板107之定位標記。符號106係測量定位標記之位置之照相機。In Fig. 14, reference numeral 104 is a positioning mark of the mother die 109, and reference numeral 105 is a positioning mark of the glass substrate 107. Symbol 106 is a camera that measures the position of the positioning mark.

以使照相機106之高度上下移動,使上下表面之各定位標記104、105聚焦而使標記之XY位置一致之方式,使母模109與玻璃基板107重合。The mother die 109 and the glass substrate 107 are superimposed so that the height of the camera 106 is moved up and down, and the positioning marks 104 and 105 on the upper and lower surfaces are focused to match the XY positions of the marks.

詳細而言,如圖14所示般,在僅可上下方向移動之照相機106中,自玻璃基板107之上方使焦點與定位標記105對合(參照圖14中(1))。其後,使照相機106朝上方移動並在照相機106與玻璃基板107之間之位置配置母模109,且一面調整照相機106之高度位置,一面使其焦點位置與母模109之定位標記104或其附近一致(參照圖14中(2))。Specifically, as shown in FIG. 14 , in the camera 106 that can only move up and down, the focus is aligned with the positioning mark 105 from above the glass substrate 107 (see (1) in FIG. 14 ). Thereafter, the camera 106 is moved upward, and the mother die 109 is placed at a position between the camera 106 and the glass substrate 107, and the height position of the camera 106 is adjusted while the focus position thereof is positioned with the positioning mark 104 of the master 109 or It is identical in the vicinity (refer to (2) in Fig. 14).

該情形下,例如,若假定先與焦點對合之定位標記105與其後與焦點對合之定位標記104為如圖15上段所示之狀態,則使母模109在水平方向移動(參照圖15下段)至定位標記104相對於玻璃基板107之定位標記105一致之位置,在該狀態下相對於預先塗佈光硬化樹脂之玻璃基板擠壓(參 照圖14中(3))母模109並進行光照射從而成形透鏡。In this case, for example, if it is assumed that the positioning mark 105 that is first aligned with the focus and the positioning mark 104 that is in focus with the focus are in the state shown in the upper stage of FIG. 15, the mother die 109 is moved in the horizontal direction (refer to FIG. 15). The lower stage) is to a position where the positioning mark 104 coincides with the positioning mark 105 of the glass substrate 107, and in this state, it is pressed against the glass substrate to which the photo-curing resin is applied in advance (see The mother mold 109 is irradiated with light according to (3) in Fig. 14 to form a lens.

[先前技術][Prior technology] [專利文獻][Patent Literature]

[專利文獻1]日本特開2010-72665號公報[Patent Document 1] Japanese Patent Laid-Open Publication No. 2010-72665

如上所述若晶圓透鏡之晶圓101之上下表面之透鏡102之中心位置之偏離、或積層時以各個晶圓101上之定位標記為基準之透鏡中心位置之偏離,會使光學性能降低。為消除或減少該等之偏離,要求以盡可能之高精度測定以定位標記為基準之透鏡中心位置。As described above, if the center position of the lens 102 on the upper surface of the upper surface of the wafer 101 of the wafer lens is deviated or the center position of the lens based on the positioning mark on each wafer 101 is laminated, the optical performance is lowered. In order to eliminate or reduce such deviations, it is required to measure the center position of the lens based on the positioning mark with as high precision as possible.

然而,即使在以定位標記為基準之透鏡中心位置之測定中應用參照圖14及圖15說明之定位方法,仍難以進行高精度之測定。以下,就該點進行說明。However, even if the positioning method described with reference to FIGS. 14 and 15 is applied to the measurement of the center position of the lens based on the positioning mark, it is difficult to perform measurement with high precision. This point will be described below.

若利用使照相機106在晶圓面之Z方向移動之未圖示之移動機構,使照相機之Z方向自圖14之(1)之正面之定位標記105之焦點位置移動至圖14之(2)之背面之定位標記104之焦點位置,則會引起使照相機106在Z方向移動之未圖示之平台相對於X方向或紙面垂直之Y方向之位置偏離。因此,若改變照相機之Z高度,則無法高精度測定定位標記位置。When the movement mechanism (not shown) for moving the camera 106 in the Z direction of the wafer surface is used, the Z direction of the camera is moved from the focus position of the registration mark 105 on the front side of (1) of FIG. 14 to (2) of FIG. The focus position of the positioning mark 104 on the back side causes a positional deviation of the unillustrated platform that moves the camera 106 in the Z direction with respect to the Y direction or the Y direction perpendicular to the paper surface. Therefore, if the Z height of the camera is changed, the position of the positioning mark cannot be measured with high precision.

測定圖13所示之一片之晶圓101之正反面之透鏡中心位置之情形,例如,首先以設置有定位標記103之正面成為上表面之方式設定晶圓101之姿勢。以使照相機106在晶圓 101之上表面聚焦之方式調整Z高度並測定定位標記103後,以定位標記為基準而利用探針測定透鏡中心位置。其後,使晶圓101之姿勢上下翻轉,使照相機之Z高度改變且聚焦於位置已改變到晶圓101之下表面之定位標記103之Z高度位置,進而以定位標記為基準,利用探針測定透鏡中心位置。In the case where the center position of the lens on the front and back sides of the wafer 101 shown in FIG. 13 is measured, for example, the posture of the wafer 101 is first set so that the front surface on which the positioning mark 103 is provided becomes the upper surface. To make the camera 106 on the wafer After adjusting the Z height by measuring the surface of the upper surface of 101 and measuring the positioning mark 103, the center position of the lens is measured by the probe based on the positioning mark. Thereafter, the posture of the wafer 101 is turned upside down, the Z height of the camera is changed, and the focus is changed to the Z height position of the positioning mark 103 on the lower surface of the wafer 101, and the probe is used as a reference. Determine the center position of the lens.

若利用未圖示之移動機構,使照相機106在晶圓面之Z方向移動,則會引起使照相機106在Z方向移動之未圖示之平台相對於X方向或紙面垂直之Y方向之位置偏離,從而產生照相機106之X方向或Y方向之中心位置稍微偏離之誤差。其結果,以所測定之定位標記為基準並以探針測定之透鏡中心位置將在正面與背面偏離。如此,以定位標記為基準而計算正面與背面之透鏡中心之情形,會因照相機106之X或Y方向之中心位置稍微偏離之誤差,而無法在1片之晶圓101上高精度測定正反面之透鏡中心。When the camera 106 is moved in the Z direction of the wafer surface by a moving mechanism (not shown), a positional deviation of the unillustrated platform that moves the camera 106 in the Z direction with respect to the X direction or the Y direction perpendicular to the paper surface is caused. Thus, an error in which the center position of the X direction or the Y direction of the camera 106 is slightly deviated is generated. As a result, the center position of the lens measured by the probe based on the measured positioning mark is deviated from the front side and the back side. Thus, when the center of the lens of the front side and the back side is calculated based on the positioning mark, the center position of the X or Y direction of the camera 106 slightly deviates from the error, and the front and back sides of the wafer 101 cannot be accurately measured. The center of the lens.

本發明係解決上述先前之問題者,其目的在於提供一種以高精度測定被測定物之形狀之3次元測定方法。The present invention has been made in view of the above problems, and an object thereof is to provide a three-dimensional measurement method for measuring the shape of an object to be measured with high precision.

為達成上述目的,本發明之3次元形狀測定方法,其係以2個以上之表面檢測機構取得被測定物之表面形狀資料之3次元測定方法,其特徵在於:使與被測定物分開設置之XY方向之位置不相對於上述被測定物而移動之校正用定位標記之Z方向之高度與上述被測定物之表面高度一致;以上述2個以上之表面檢測機構測定已使高度一致之 上述校正用定位標記;使用上述測定之結果校正上述2個以上之表面檢測機構之XY方向之偏移;且使用以上述2個以上之表面檢測機構測定之上述被測定物之表面形狀資料與經校正之上述偏移,求取上述被測定物之表面形狀。In order to achieve the above object, a three-dimensional shape measuring method according to the present invention is a three-dimensional measuring method for obtaining surface shape data of an object to be measured by two or more surface detecting means, which is characterized in that it is provided separately from the object to be measured. The height in the Z direction of the calibration positioning mark that does not move relative to the object to be measured in the XY direction is equal to the surface height of the object to be measured; and the height is consistent by the two or more surface detecting means. The calibration positioning mark; the result of the measurement described above is used to correct the offset in the XY direction of the two or more surface detecting means; and the surface shape data and the surface of the object to be measured measured by the two or more surface detecting means are used. The above-described offset of the correction is performed to obtain the surface shape of the object to be measured.

較佳的是,上述表面檢測機構包含在於XY方向移動之XY平台上於Z方向移動之第1Z方向移動機構上設置之用於表面形狀測定之測桿,及在上述XY平台上於Z方向移動之第2Z方向移動機構上設置之測定XY面內之圖像之照相機;以上述照相機拍攝已與上述被測定物之表面高度一致之上述校正用定位標記,且以上述測桿測定,根據上述拍攝及測定之結果而校正上述測桿與上述照相機之中心位置之偏移;以上述測桿測定上述被測定物之表面形狀;且使用利用上述測桿得到之測定結果與上述經校正之偏移,求取上述被測定物之表面形狀。Preferably, the surface detecting mechanism includes a measuring rod for surface shape measurement provided on a first Z-direction moving mechanism that moves in the Z direction on an XY stage that moves in the XY direction, and moves in the Z direction on the XY stage. a camera that measures an image in the XY plane provided in the second Z-direction moving mechanism; and the calibration positioning mark that matches the surface height of the object to be measured is captured by the camera, and is measured by the probe, and the photographing is performed according to the photographing And correcting the deviation between the measuring rod and the center position of the camera by the measurement result; measuring the surface shape of the object to be measured by the measuring rod; and using the measurement result obtained by using the measuring rod and the corrected offset, The surface shape of the above-mentioned object to be measured is obtained.

更佳的是,利用上述測桿之上述被測定物之表面形狀之測定,係以通過被測定物上之各透鏡面之頂點位置附近之方式,在透鏡面之X方向上一次測定,進而以通過透鏡面之頂點位置附近之方式,在Y方向上一次測定;根據上述測定資料,並根據預先設定之透鏡之X方向、Y方向之間距,按每個透鏡分割測定資料,且針對按每個透鏡分割之資料,評估形狀與透鏡中心之XYZ位置與姿勢。More preferably, the surface shape of the object to be measured by the measuring rod is measured once in the X direction of the lens surface so as to pass near the vertex position of each lens surface on the object to be measured, and further The measurement is performed once in the Y direction by the vicinity of the vertex position of the lens surface; and according to the above-described measurement data, the measurement data is divided for each lens according to the X-direction and the Y-direction distance of the lens, and The lens segmentation data is used to evaluate the shape and the XYZ position and orientation of the lens center.

例如,被測定物為於薄板上形成有多個透鏡之晶圓透鏡。For example, the object to be measured is a wafer lens in which a plurality of lenses are formed on a thin plate.

根據本發明之3次元測定方法,可以高精度測定被測定物之形狀。例如,可以定位標記為基準而以高精度測定晶圓透鏡之正反面之透鏡中心位置。亦即,於晶圓之背面側形成有定位標記,並以照相機測定晶圓正面側無凹凸之定位標記之情形,或者以僅可以晶圓上之照相機測量之定位標記為基準而測定晶圓上之透鏡中心之情形下,皆可藉由使用照相機與測桿之中心位置間之經校正之偏移值,以定位標記為基準測定透鏡位置,而以高精度組裝用之定位標記為基準,進行晶圓上之透鏡位置之測量。According to the three-dimensional measurement method of the present invention, the shape of the object to be measured can be measured with high precision. For example, the center position of the lens of the front and back of the wafer lens can be measured with high precision by positioning the mark as a reference. That is, a positioning mark is formed on the back side of the wafer, and the camera is used to measure the position mark on the front side of the wafer without unevenness, or the wafer is measured on the wafer based on the positioning mark measured only by the camera on the wafer. In the case of the center of the lens, the position of the lens can be measured based on the positioning mark by using the corrected offset value between the center position of the camera and the measuring rod, and the positioning mark for high-precision assembly is used as a reference. Measurement of the position of the lens on the wafer.

藉此,藉由在晶圓上之透鏡中,測定晶圓之上下表面各自之透鏡形狀,並算出定位標記基準下之位置偏離,可高精度地以定位標記為基準而測定晶圓上之透鏡之光軸中心之位置偏離。Thereby, by measuring the lens shape of the upper surface of the upper surface of the wafer on the wafer, and calculating the positional deviation under the reference mark, the lens on the wafer can be accurately measured with the positioning mark as a reference. The position of the center of the optical axis is deviated.

再者,由於可個別算出自定位標記之上下表面之各透鏡中心軸之偏離,故可高精度地測定上下表面之各透鏡中心軸之偏離。Further, since the deviation from the central axis of each of the upper and lower surfaces of the positioning mark can be calculated individually, the deviation of the central axes of the respective lenses on the upper and lower surfaces can be measured with high precision.

更且,藉由將通過被測定物上之各透鏡面之頂點位置附近之X方向與Y方向之一次測定資料分離成透鏡各自之資料,可高精度且快速地評估3次元形狀。Further, by separating the primary measurement data in the X direction and the Y direction near the vertex positions of the respective lens faces on the object to be measured into the respective data of the lenses, the ternary shape can be evaluated with high accuracy and speed.

以下就本發明之實施形態,一面參照圖面一面進行說明。Hereinafter, embodiments of the present invention will be described with reference to the drawings.

(實施形態1)(Embodiment 1)

1)使用之3次元測定機之裝置構成說明1) Description of the device configuration of the 3-dimensional measuring machine used

圖1係顯示作為用以實施本發明之形狀測定方法之一實施形態之形狀測定裝置之概略構成之立體圖。圖1中,在XY平台3上之石壓板14上配置有用以測定XYZ座標位置之頻率穩定化He-Ne雷射4,探針經由Z1軸平台2安裝於石壓板14,利用振動頻率穩定化He-Ne雷射光,使具有經固定之奈米級之高平面度之X基準鏡面5、Y基準鏡面6、Z基準鏡面7反射,藉此,可以奈米級之超高精度測定XYZ座標。Fig. 1 is a perspective view showing a schematic configuration of a shape measuring device as an embodiment for carrying out the shape measuring method of the present invention. In Fig. 1, a frequency-stabilized He-Ne laser 4 for measuring the position of the XYZ coordinate is placed on the stone plate 14 on the XY stage 3, and the probe is attached to the stone plate 14 via the Z1 axis platform 2, and stabilized by the vibration frequency. The He-Ne laser light reflects the X reference mirror surface 5, the Y reference mirror surface 6, and the Z reference mirror surface 7 having a fixed flatness of the nanometer level, whereby the XYZ coordinates can be measured with high precision on the nanometer level.

該等之單元由作為控制運算部之電腦41控制,且與3次元測定機組合而進行自動運轉之方式構成。These units are controlled by a computer 41 as a control calculation unit, and are combined with a three-dimensional measuring machine to perform automatic operation.

再者,形狀測定裝置由以下構成:測定定位標記位置之照相機8;使照相機8在Z軸方向移動之Z2軸平台9;校正探針1之前端中心位置與照相機8之圖像之中心位置之偏移距離之校正用定位標記10;使校正用定位標記10在Z軸方向移動之Z3軸平台11;作為測定物之晶圓透鏡12;設置晶圓透鏡12之晶圓卡盤13。圖1中,將X軸之+方向上之順時針之旋轉作為A,將Y軸之+方向上之順時針之旋轉作為B,將Z軸之+方向上之順時針之旋轉作為C進行以下說明。Further, the shape measuring device is constituted by a camera 8 that measures the position of the positioning mark, a Z2-axis stage 9 that moves the camera 8 in the Z-axis direction, and a center position of the front end of the correction probe 1 and a center position of the image of the camera 8. The offset distance correction positioning mark 10; the Z3 axis stage 11 for moving the correction positioning mark 10 in the Z-axis direction; the wafer lens 12 as a measuring object; and the wafer chuck 13 of the wafer lens 12. In Fig. 1, the clockwise rotation in the + direction of the X-axis is taken as A, the clockwise rotation in the + direction of the Y-axis is taken as B, and the clockwise rotation in the + direction of the Z-axis is made as C. Description.

圖2中顯示該形狀測定裝置中使用之探針之構成。圖2中,測桿18由微空氣滑動器15支持,微空氣滑動器15之可動部份由微彈簧16支持。以照射至微空氣滑動器15之鏡面上之聚焦檢測用雷射19測量微彈簧之撓曲,且以在測定物17與測桿18之前端作用之較弱之原子間力成為一定之方式,以未圖示之線性馬達反饋控制探針單元20全體在Z方 向之位置。同時藉由在Z方向之位移中將上述頻率穩定化He-Ne雷射光21照射至鏡面22,藉由測定Z方向之位置。在該狀態下於XY方向掃描該探針單元全體而測定測定面之形狀。利用可減輕為安裝測桿18之可動部即微空氣滑動器15之可動部之重量之該構成,可以奈米精度高精度地測定到最大75°之高傾斜面為止。The configuration of the probe used in the shape measuring device is shown in Fig. 2 . In Fig. 2, the spindle 18 is supported by a micro air slider 15, and the movable portion of the micro air slider 15 is supported by a microspring 16. The deflection of the microspring is measured by the focus detecting laser 19 irradiated onto the mirror surface of the micro air slider 15, and the weak interatomic force acting on the front end of the measuring object 17 and the measuring rod 18 becomes a certain manner. The probe unit 20 is controlled by a linear motor (not shown) on the Z side. Towards the location. At the same time, the above-described frequency-stabilized He-Ne laser light 21 is irradiated onto the mirror surface 22 by displacement in the Z direction, and the position in the Z direction is measured. In this state, the entire probe unit was scanned in the XY direction, and the shape of the measurement surface was measured. According to this configuration, the weight of the movable portion of the micro air slider 15 which is the movable portion to which the measuring rod 18 is attached can be reduced, and the high inclined surface having a maximum height of 75° can be measured with high precision.

該形狀測定裝置藉由在測定物17之面上於XY方向掃描探針1,求取測定物上之XYZ座標資料行,且利用作為未圖示之控制運算部之電腦41,運算處理利用探針1測定之XY座標位置上之Z座標資料之行,從而進行測定物17之形狀測定。In the shape measuring apparatus, the probe 1 is scanned in the XY direction on the surface of the measuring object 17, and the XYZ coordinate data line on the measuring object is obtained, and the computer 41 is used as a control computing unit (not shown). The shape of the Z-coordinate data at the XY coordinate position of the needle 1 is measured, and the shape of the measurement object 17 is measured.

2)測定方式之原理2) Principle of measurement method

圖3係顯示本發明之測定方式之原理之原理圖。圖3中,為高精度地進行利用Z方向之探針1之測定,將使探針1在Z軸方向驅動之Z1軸平台2設置於在XY方向掃描探針1之XY平台3。又,於XY平台3上,設置有在Z軸方向驅動定位標記測定用之照相機8之Z2軸平台9。定位標記測定用之照相機8設置於相對於探針1在XY方向偏移之位置。根據該偏移之探針1之中心與照相機8之中心之XY方向之距離(中心間距離)Xo,係根據Z2軸平台9上之位置引起之照相機8之Z軸方向之移動引起之XY方向之位置之些許之偏離而變化。Figure 3 is a schematic diagram showing the principle of the measurement mode of the present invention. In FIG. 3, in order to measure the probe 1 in the Z direction with high precision, the Z1 axis stage 2 which drives the probe 1 in the Z-axis direction is provided in the XY stage 3 which scans the probe 1 in the XY direction. Further, on the XY stage 3, a Z2-axis stage 9 for driving the camera 8 for positioning marker measurement in the Z-axis direction is provided. The camera 8 for positioning mark measurement is disposed at a position shifted in the XY direction with respect to the probe 1. The distance (center-to-center distance) Xo from the center of the probe 1 and the center of the camera 8 according to the offset is the XY direction caused by the movement of the camera 8 in the Z-axis direction caused by the position on the Z2-axis stage 9. The position of the position changes slightly.

再者,形狀測定裝置由以下構成:設置直徑約200 mm之圓形基板之測定物即晶圓透鏡12(一併參照圖4)之晶圓卡 盤13;使晶圓卡盤13全體繞著Z軸旋轉之γ平台23;及觀察用以特定設置於晶圓卡盤13上之晶圓透鏡12上之XY位置之定位標記29,並進行標記之圖案檢測之未圖示之辨識裝置。Further, the shape measuring device is configured by a wafer card 12 (refer to FIG. 4 together) which is a measuring object of a circular substrate having a diameter of about 200 mm. a disk 13; a gamma stage 23 for rotating the entire wafer chuck 13 about the Z axis; and an alignment mark 29 for XY position on the wafer lens 12 specifically disposed on the wafer chuck 13 and marking Identification device not shown in the pattern detection.

再者,將校正測定用之探針1與照相機8之中心位置偏移之校正用定位標記10設置於圖3之石壓板24上之可在Z方向移動之Z3軸平台11。如之後詳細敘述所示,藉由以探針1與照相機8測定該校正用定位標記10而實行校正。Further, the calibration positioning mark 10 for shifting the center position of the probe 1 for calibration measurement to the center of the camera 8 is placed on the Z3 axis stage 11 which is movable in the Z direction on the stone plate 24 of FIG. As will be described later in detail, the correction is performed by measuring the calibration positioning mark 10 with the probe 1 and the camera 8.

在圖4中顯示作為被測定物之晶圓透鏡12。於晶圓透鏡12上,於X、Y各自之方向上以特定之大致一定之間距以格柵狀形成透鏡34。具體而言,於晶圓透鏡12之A面、B面之兩面之相同位置形成有透鏡34。再者於晶圓透鏡12之A面之特定位置,形成有2處以上之定位標記29。A wafer lens 12 as an object to be measured is shown in FIG. On the wafer lens 12, the lens 34 is formed in a lattice shape at substantially a certain predetermined distance in the respective directions of X and Y. Specifically, a lens 34 is formed at the same position on both the A surface and the B surface of the wafer lens 12. Further, two or more positioning marks 29 are formed at specific positions on the A side of the wafer lens 12.

圖5(a)、(b)中顯示校正用定位標記10。本實施形態中校正用定位標記10係使用於玻璃基板25上,蒸鍍0.1 μm左右之鉻膜26之半導體製造用之鉻光罩基板。於鉻膜26之中央,設置有大小為縱橫1 mm見方左右之正方形狀之蝕刻部27。在該蝕刻部27除去鉻膜26而露出玻璃基板25。The correction positioning marks 10 are shown in Figs. 5(a) and (b). In the present embodiment, the alignment mark 10 for correction is used for the chrome mask substrate for semiconductor production in which a chromium film 26 of about 0.1 μm is vapor-deposited on the glass substrate 25. In the center of the chrome film 26, a etched portion 27 having a square shape having a size of about 1 mm square is provided. The chrome film 26 is removed by the etching portion 27 to expose the glass substrate 25.

3)測定方式之概要3) Summary of measurement methods

圖6中顯示根據本發明之3次元測定方法之測定之全體流程。Fig. 6 shows the overall flow of the measurement of the 3-dimensional measurement method according to the present invention.

由步驟201開始測定,在電腦41中設定處理程式,亦即表示用以自動進行一連串之測定之程序之電腦程式之一種。於處理程式中,輸入所要測定之晶圓透鏡12之設計形 狀、晶圓尺寸、晶圓透鏡12上之透鏡34之設計上之X、Y方向之各透鏡中心間間距、晶圓透鏡12上之透鏡配置、測定時之探針1之測定速度、2個定位標記29之位置等測定所需之資訊,進行測定條件之設定等測定準備,其後開始測定。The measurement is started in step 201, and a processing program is set in the computer 41, that is, a computer program for automatically performing a series of measurement procedures. In the processing program, input the design shape of the wafer lens 12 to be measured. Shape, wafer size, design of the lens 34 on the wafer lens 12, the pitch between the centers of the lenses in the X and Y directions, the lens arrangement on the wafer lens 12, and the measurement speed of the probe 1 during the measurement, 2 The information required for measurement such as the position of the positioning mark 29 is measured, and measurement preparation such as setting of measurement conditions is performed, and measurement is started thereafter.

將以步驟202測定之晶圓透鏡12以A面(設置有定位標記29之面)側為上之方式設置於形狀測定裝置之晶圓卡盤13上。將晶圓透鏡12以手動定位於形狀測定裝置之晶圓卡盤13並固著,且由未圖示之真空吸附機構吸附。The wafer lens 12 measured in step 202 is placed on the wafer chuck 13 of the shape measuring device so as to be on the side of the A surface (the surface on which the positioning mark 29 is provided). The wafer lens 12 is manually positioned on the wafer chuck 13 of the shape measuring device and fixed, and is adsorbed by a vacuum suction mechanism (not shown).

其後,根據步驟203,以位於以步驟202設置之晶圓透鏡12之A面之定位標記29之上方之方式,利用XY平台3之未圖示之驅動機構使照相機8之XY位置移動。其後,以照相機8之焦點高度成為圖3所示之被測定物即晶圓透鏡12之正面之晶圓上之定位標記29之高度L1之方式,一面以電腦41之監視器(未圖示)監視照相機8之圖像、一面在Z方向上調整並配合照相機高度調整用之Z2軸平台9之高度。Thereafter, in accordance with step 203, the XY position of the camera 8 is moved by a drive mechanism (not shown) of the XY stage 3 so as to be positioned above the positioning mark 29 of the A side of the wafer lens 12 provided in step 202. Thereafter, the focus of the camera 8 is such that the height L1 of the positioning mark 29 on the wafer on the front side of the wafer lens 12 as the object to be measured shown in FIG. 3 is displayed on the monitor of the computer 41 (not shown). The image of the camera 8 is monitored and adjusted in the Z direction to match the height of the Z2 axis platform 9 for camera height adjustment.

在步驟204中持續維持以步驟203調整之照相機8之焦點高度位置,利用XY平台3使照相機8移動而使其位於校正用定位標記10之上方。其次,持續維持固定照相機8使之不在XYZ方向任一者上移動之狀態,以使照相機8之焦點與校正用定位標記10對合之方式調整Z3軸平台11之高度。該調整之結果,校正用定位標記10之標記面之高度L2與作為被測定物之晶圓透鏡12之正面(A面)之定位標記29之高度L1一致。In step 204, the focus height position of the camera 8 adjusted in step 203 is continuously maintained, and the camera 8 is moved by the XY stage 3 to be positioned above the correction positioning mark 10. Next, the state in which the fixed camera 8 is not moved in either of the XYZ directions is continuously maintained, so that the height of the Z3 axis stage 11 is adjusted so that the focus of the camera 8 is aligned with the correction positioning mark 10. As a result of this adjustment, the height L2 of the marking surface of the correction positioning mark 10 coincides with the height L1 of the positioning mark 29 of the front surface (A surface) of the wafer lens 12 as the object to be measured.

步驟205中,利用以上述步驟201~204之程序經調整之照相機8測定校正用定位標記10,且亦以探針1,測定校正用定位標記10,基於測定結果實行探針1與照相機8之中心間距離Xo之測定(探針1與照相機8之中心位置之校正)。In step 205, the calibration positioning mark 10 is measured by the camera 8 adjusted by the procedures of the above steps 201 to 204, and the calibration positioning mark 10 is also measured by the probe 1, and the probe 1 and the camera 8 are executed based on the measurement result. The measurement of the distance Xx between the centers (correction of the center position of the probe 1 and the camera 8).

步驟206中,使用照相機8與XY平台3,測定設置於晶圓透鏡12上之2個定位標記29之位置,並記憶定位標記29之中心位置。根據上述測定之2個定位標記位置,測定相對於形狀測定裝置之座標(固定之XYZ座標系統)之晶圓透鏡12之旋轉偏離角γ。In step 206, the position of the two positioning marks 29 provided on the wafer lens 12 is measured using the camera 8 and the XY stage 3, and the center position of the positioning mark 29 is memorized. The rotation deviation angle γ of the wafer lens 12 with respect to the coordinates of the shape measuring device (fixed XYZ coordinate system) was measured based on the two positioning mark positions measured as described above.

步驟207中,藉由設置於晶圓卡盤13之下部之γ平台23使晶圓透鏡12旋轉所測定之旋轉偏離角γ之量,以平行於形狀測定裝置之X基準鏡面5、Y基準鏡面7之方式調整。In step 207, the wafer lens 12 is rotated by the gamma stage 23 disposed at the lower portion of the wafer chuck 13 by the amount of the rotation deviation angle γ measured so as to be parallel to the X reference mirror 5 and the Y reference mirror of the shape measuring device. 7 ways to adjust.

步驟208中,確認旋轉偏離角γ之值相對於預先設定之特定之值是否在規定範圍內。若在範圍內則進到步驟209,若在範圍外,則重複自步驟206起之程序。In step 208, it is confirmed whether or not the value of the rotational deviation angle γ is within a predetermined range with respect to a predetermined value set in advance. If it is within the range, the process proceeds to step 209. If it is outside the range, the process from step 206 is repeated.

步驟209中,以利用探針1通過晶圓透鏡12上之各透鏡中心之方式,以一筆連續形狀,在X方向與Y方向之2方向測定晶圓透鏡12之A面之全域。In step 209, the entire area of the A face of the wafer lens 12 is measured in one continuous direction in the X direction and the Y direction in a continuous shape so that the probe 1 passes through the center of each lens on the wafer lens 12.

步驟210中,使用以步驟209所測定之X方向與Y方向之2方向之測定資料、以步驟206之步驟求得之2個定位標記29之位置、及以步驟205求得之探針1與照相機8之中心間距離,以定位標記29為基準而算出晶圓透鏡12上之各透鏡34之中心。In step 210, the measurement data in the two directions of the X direction and the Y direction measured in step 209, the position of the two positioning marks 29 obtained by the step of step 206, and the probe 1 obtained in step 205 are used. The center-to-center distance of the camera 8 is calculated based on the positioning mark 29 to calculate the center of each lens 34 on the wafer lens 12.

步驟211~219中,針對晶圓透鏡12之B面重複同樣之處 理。In steps 211 to 219, the same is repeated for the B plane of the wafer lens 12. Reason.

首先,在步驟211中以將以上述步驟測定之晶圓透鏡12之正反以Y軸為旋轉軸翻轉而使B面在上之方式,安裝於晶圓卡盤13。First, in step 211, the wafer chuck 12 is mounted on the wafer chuck 13 so that the front and back of the wafer lens 12 measured in the above-described steps are reversed with the Y axis as the rotation axis and the B surface is placed thereon.

根據步驟212,在位於下側之定位標記29位置上,利用Z2軸平台9調整照相機8之焦點高度。According to step 212, the focus height of the camera 8 is adjusted by the Z2 axis platform 9 at the position of the positioning mark 29 on the lower side.

根據步驟213,在維持以212之步驟利用Z2軸平台9調整之照相機8之焦點高度位置下,調整Z3軸平台11,以使照相機8之焦點與校正用定位標記10對合。According to step 213, the Z3 axis stage 11 is adjusted to maintain the focus of the camera 8 in alignment with the correction positioning mark 10 while maintaining the focus height position of the camera 8 adjusted by the Z2 axis stage 9 in the step of 212.

在步驟214中,藉由使用校正用定位標記10,以上述步驟211~213之程序進行調整,測定在XY方向上略為偏離之照相機8之中心位置與探針1之中心間距離XoB。In step 214, by using the calibration positioning mark 10, the procedure of steps 211 to 213 is adjusted to measure the distance XoB between the center of the camera 8 and the center of the probe 1 which is slightly deviated in the XY direction.

在步驟215~218中,在上述設置狀態下進行與步驟206~209相同之處理。In steps 215 to 218, the same processing as steps 206 to 209 is performed in the above-described setting state.

在步驟219中,使用以步驟218測定之X方向與Y方向之2方向之測定資料、以步驟215之步驟求得之2個定位標記29之位置、及以步驟214求得之探針與照相機8之中心間距離,以定位標記29為基準而算出晶圓透鏡12上之各透鏡34之中心。In step 219, the measurement data in the two directions of the X direction and the Y direction measured in step 218, the positions of the two positioning marks 29 obtained in the step of step 215, and the probe and camera obtained in step 214 are used. The center-to-center distance of 8 is calculated based on the positioning mark 29 to calculate the center of each lens 34 on the wafer lens 12.

在步驟220中,根據A面之各透鏡34之中心位置與B面之各透鏡34之中心位置,利用計算處理算出晶圓透鏡12之正反之透鏡34之中心偏離。In step 220, the center deviation of the wafer lens 12 from the opposite side of the lens 34 is calculated by the calculation process based on the center position of each lens 34 on the A side and the center position of each lens 34 on the B side.

在步驟221結束測定。The measurement is ended at step 221 .

2)測定方式之詳情2) Details of the measurement method

以下,依序說明圖6中記載之程序之詳情。Hereinafter, the details of the procedure described in FIG. 6 will be described in order.

在步驟205中,基於以步驟201~204之程序調整之晶圓透鏡12上之定位標記29與校正用定位標記10之位置關係,使用校正用定位標記10,測定探針1與照相機8之中心間距離XoA。In step 205, based on the positional relationship between the positioning mark 29 on the wafer lens 12 and the correction positioning mark 10 adjusted by the procedures of steps 201 to 204, the center of the probe 1 and the camera 8 are measured using the calibration positioning mark 10. The distance is XoA.

以下,說明使用上述校正用定位標記,校正探針與照相機之中心位置之校正程序之詳情。Hereinafter, details of the correction procedure for correcting the center position of the probe and the camera using the above-described calibration positioning mark will be described.

首先,利用照相機8,由以下之程序算出校正用定位標記10之中心位置(Xc、Yc)。First, the center position (Xc, Yc) of the correction positioning mark 10 is calculated by the following procedure using the camera 8.

步驟204之Z3軸平台11之調整後,在校正用定位標記10之標記中心位置,藉由XY平台3使照相機8移動。After the adjustment of the Z3 axis stage 11 of step 204, the camera 8 is moved by the XY stage 3 at the mark center position of the correction positioning mark 10.

以後,利用照相機8取得如圖7所示之圖像作為校正用定位標記10之蝕刻部27。Thereafter, the image shown in FIG. 7 is obtained by the camera 8 as the etching portion 27 for the correction positioning mark 10.

此處利用以下之程序1~5算出正方形狀之蝕刻部27之中心位置。Here, the center position of the square-shaped etching portion 27 is calculated by the following procedures 1 to 5.

程序1:針對蝕刻部27之X軸方向,根據X測定線30之資料求取與蝕刻部27之交點位置X1L、X1R,根據X測定線31之資料求取與蝕刻部27之交點位置X2L、X2R。In the X-axis direction of the etching unit 27, the intersection position X1L and X1R of the etching portion 27 is obtained from the data of the X measurement line 30, and the intersection position X2L with the etching portion 27 is obtained from the data of the X measurement line 31, X2R.

程序2:針對蝕刻部27之Y軸方向,根據Y測定線32之資料求取與蝕刻部27之交點位置Y1D、Y1U,根據Y測定線33之資料求取與蝕刻部27之交點位置Y2D、Y2U。In the Y-axis direction of the etching unit 27, the intersection position Y1D and Y1U with the etching unit 27 is obtained based on the information of the Y measurement line 32, and the intersection position Y2D with the etching portion 27 is obtained based on the information of the Y measurement line 33, Y2U.

程序3:求取Y方向測定中央線35,亦即連結交點位置X1L與交點位置X2L之蝕刻部27之縱向之線與連結交點位置X1R與交點位置X2R之蝕刻部27之縱向之線之平均線。Procedure 3: The center line 35 is measured in the Y direction, that is, the longitudinal line connecting the longitudinal direction of the etching portion 27 of the intersection position X1L and the intersection position X2L and the longitudinal line of the etching portion 27 connecting the intersection position X1R and the intersection position X2R. .

程序4:求取X方向測定中央線34,亦即連結交點位置Y1D與交點位置Y2D之蝕刻部27之橫向之線與連結交點位置Y1U與交點位置Y2U之蝕刻部27之橫向之線之平均線。Procedure 4: Determine the X-direction measurement center line 34, that is, the average line connecting the horizontal line of the etching portion 27 of the intersection position Y1D and the intersection position Y2D and the transverse line connecting the intersection portion Y1U and the etching portion 27 of the intersection position Y2U. .

程序5:求取標記中心位置(Xc、Yc),亦即X方向測定中央線34與Y方向測定中央線35之交點。Procedure 5: The mark center position (Xc, Yc) is obtained, that is, the intersection of the center line 34 and the Y direction measurement center line 35 is measured in the X direction.

以下,說明蝕刻部27之中心位置即標記中心位置(Xc、Yc)之計算程序之詳情。以下之計算中,根據照相機8之CCD資料擷取包含蝕刻部5全體之鉻膜6之濃淡圖像。Hereinafter, details of the calculation procedure of the center position of the etching portion 27, that is, the mark center position (Xc, Yc) will be described. In the following calculation, the gradation image of the chrome film 6 including the entire etched portion 5 is extracted based on the CCD data of the camera 8.

此處,將X軸上之2個測定剖面作為X測定線30與X測定線31而擷取測定資料。該等之資料如圖8所示為由濃淡所產生之凹凸形狀,將該濃淡圖像之凹凸之中央部份作為閥值,在擷取邊緣位置之Y方向位置,即圖7所示之XY方向之向量表記法位置,X測定線30之閥值之交點位置表示為X1L=(X1Lx,X1y),X1R=(X2Lx,X2y)。相同地,X測定線32上之閥值之交點位置向量表示為X2L、X2R。相同地求得作為Y軸方向之2方向之Y測定線32與Y測定線33之總計4處之閥值之交點位置Y1U、Y1D、Y2U、Y2D。Here, the measurement data are extracted from the two measurement sections on the X-axis as the X measurement line 30 and the X measurement line 31. The data shown in Fig. 8 is the concave-convex shape generated by the shading, and the central portion of the unevenness of the shading image is used as a threshold value, and the position in the Y direction of the edge position is captured, that is, the XY shown in Fig. 7. The position of the vector table of the direction, the intersection of the thresholds of the X measurement line 30 is expressed as X1L = (X1Lx, X1y), and X1R = (X2Lx, X2y). Similarly, the intersection vector of the threshold values on the X measurement line 32 is represented as X2L, X2R. Similarly, the intersection positions Y1U, Y1D, Y2U, and Y2D of the thresholds of the total of four points of the Y measurement line 32 and the Y measurement line 33 in the two directions in the Y-axis direction are obtained in the same manner.

以後,使用圖7所示之記號,根據以下之式算出中點。Thereafter, the midpoint is calculated based on the following equation using the symbol shown in FIG.

[數1]X1C=(X1L+X1R)/2 X2C=(X2L+X2R)/2[Number 1] X1C=(X1L+X1R)/2 X2C=(X2L+X2R)/2

又,定義以下之向量XV。Also, define the following vector XV.

[數2]XV=X1C-X2C[Number 2] XV=X1C-X2C

使用該向量XV,若t設為標量則X測定中央線34之方程式成為以下之式(1)。Using this vector XV, if t is a scalar, the equation of the X measurement center line 34 becomes the following equation (1).

[數3]XL=t XV+X1C………(1)[Number 3] XL = t * XV + X1C... (1)

同樣地,Y測定中央線35之方程式使用標量s如以下之式(2)般表示。Similarly, the equation for the Y measurement center line 35 is expressed using the scalar s as shown in the following equation (2).

[數4]YL=s YV+Y1C………(2)[Number 4] YL=s * YV+Y1C.........(2)

YV=YUC-YDCYV=YUC-YDC

YUC=(Y1U+Y2U)/2YUC=(Y1U+Y2U)/2

YDC=(Y1D+Y2D)/2YDC=(Y1D+Y2D)/2

由於標記中心為以方程式XL、YL表示之線34、35之交點,故若根據(1)=(2)式算出t、s,則得出標記中心。Since the mark center is the intersection of the lines 34 and 35 represented by the equations XL and YL, if t and s are calculated according to the formula (1)=(2), the mark center is obtained.

方程式XL即式(1)、與方程式YL即式(2)可分別變化為以下之式(1)'、(2)'。The equation XL, that is, the equation (1) and the equation YL, that is, the equation (2), can be changed to the following equations (1)', (2)', respectively.

[數5]XLX=t XVX+X1CX,XLY=t XVY+X1CY………(1),YLX=s YVX+Y1CX,YLY=s YVY+Y1CY………(2),根據(1)'=(2)'式得到以下之式(3)、(4)。[Number 5] XLX=t * XVX+X1CX, XLY=t * XVY+X1CY... (1), YLX=s * YVX+Y1CX, YLY=s * YVY+Y1CY... (2), according to ( 1) The equations (3) and '(2)' give the following equations (3) and (4).

[數6]t XVX+X1CX=s YVX+Y1CX………(3) t XVY+X1CY=s YVY+Y1CY………(4)[Number 6] t * XVX + X1CX = s * YVX + Y1CX... (3) t * XVY + X1CY = s * YVY + Y1CY... (4)

若針對t解(3)、(4)式則得到以下之式(5)。The following equation (5) is obtained for the equations (3) and (4) of the t solution.

[數7] t={(Y1CX YVY-Y1CY YVX)-(X1CX YVY-X1CY YVX)}/(XVX YVY-XVY YVX)………(5)[Equation 7] t={(Y1CX * YVY-Y1CY * YVX)-(X1CX * YVY-X1CY * YVX)}/(XVX * YVY-XVY * YVX).........(5)

將以式(5)得出之t之值代入(1)式求取交點,亦即標記中心(Xc、Yc)=Xc=t * XV+X1C。另,即使將針對s解式(3)、(4)得到之s之值代入(2)式,亦可求標記中心(Xc、Yc)。Substituting the value of t obtained by the equation (5) into the equation (1) to find the intersection point, that is, the marker center (Xc, Yc) = Xc = t * XV + X1C. Further, even if the value of s obtained by the equations (3) and (4) is substituted into the equation (2), the marker center (Xc, Yc) can be obtained.

藉由利用上述計算程序檢測X軸方向、Y軸方向各2方向之邊緣,算出照相機之圖像之範圍內之定位標記位置。The position of the positioning mark in the range of the image of the camera is calculated by detecting the edges of the two directions in the X-axis direction and the Y-axis direction by the above-described calculation program.

如此,藉由算出定位標記10之邊緣位置之X方向與Y方向之中心,即使校正用定位標記相對於測定機之X或Y方向稍微傾斜安裝,仍可高精度地求出校正用定位標記之中心(Xc、Yc)。By calculating the center of the X position and the Y direction of the edge position of the positioning mark 10, even if the correction positioning mark is slightly inclined with respect to the X or Y direction of the measuring machine, the positioning mark for correction can be accurately obtained. Center (Xc, Yc).

其次,將探針移動至校正用定位標記位置,以與以照相機所測定之X測定線30、X測定線31、Y測定線32、Y測定線33之4條線相同之路徑,以探針分別在X方向、Y方向上每2條線進行掃描,在各自之方向上將校正用標記之階差形狀部份之X測定線30、X測定線31、Y測定線32、Y測定線33之高度之中央位置依序算出作為閥值之交點位置X1L、X1R、X2L、X2R、Y1U、Y1D、Y2U、Y2D。使用該資料,與上述照相機之計算程序相同地算出通過X方向、Y方向各自之交點位置之中點之2條X測定中央線34、Y測定中央線35,算出該算出之X方向Y方向之2方向之直線之中心線之交點座標,且以與上述照相機中之算出程序相同之算出公式算出以探針測定之定位標記位置(Xa,Ya)。Next, the probe is moved to the position of the calibration positioning mark, and the probe is the same as the four lines of the X measurement line 30, the X measurement line 31, the Y measurement line 32, and the Y measurement line 33 measured by the camera. Each of the two lines in the X direction and the Y direction is scanned, and the X measurement line 30, the X measurement line 31, the Y measurement line 32, and the Y measurement line 33 of the step shape portion of the calibration mark are respectively arranged in the respective directions. The center position of the height is sequentially calculated as the intersection position X1L, X1R, X2L, X2R, Y1U, Y1D, Y2U, Y2D. In the same manner as the above-described calculation program of the camera, two X-measurement center lines 34 and Y-measurement center lines 35 passing through the points in the X-direction and the Y-direction are calculated, and the calculated X-direction Y direction is calculated. The coordinates of the intersection of the center line of the straight line in the two directions are calculated, and the position of the positioning mark (Xa, Ya) measured by the probe is calculated by the same calculation formula as that of the above-described camera.

根據該等之測定結果,由晶圓透鏡12之A面測定時之探針基準下之照相機之偏移位置(XoA,YoA)=(Xc,Yc)-(Xa,Ya)算出。Based on the measurement results, the offset position (XoA, YoA) = (Xc, Yc) - (Xa, Ya) of the camera under the probe reference when measuring the A surface of the wafer lens 12 is calculated.

以後在晶圓透鏡12面上之透鏡測定下之相對於照相機8之探針1之偏移位置參照該值,而要將以照相機8求得之定位標記位置轉換為探針基準時,藉由減去該偏移值而算出。The value of the offset position of the probe 1 with respect to the camera 8 under the lens measurement on the wafer lens 12 surface is referred to later, and the position of the positioning mark obtained by the camera 8 is converted into the probe reference by The offset value is subtracted and calculated.

如此,晶圓透鏡12上之定位標記29之高度改變之情形時,藉由在使校正用定位標記10對準晶圓上之定位標記高度之狀態下,以照相機8與探針1之雙方測定同一標記,可求出照相機8與探針1之正確之偏移值。Thus, when the height of the positioning mark 29 on the wafer lens 12 is changed, the camera 8 and the probe 1 are measured by aligning the calibration positioning mark 10 with the height of the positioning mark on the wafer. With the same mark, the correct offset value of the camera 8 and the probe 1 can be found.

藉此,即使在照相機8之焦點調整時所調整之Z高度調整用Z2軸平台之XY方向之直線度偏離,亦不會受到因照相機之焦點高度偏離產生之光學中心位置偏離等之測量誤差之影響,仍可進行高精度之測定。Thereby, even if the straightness of the XY direction of the Z-axis stage adjusted by the Z-axis adjustment adjusted at the focus adjustment of the camera 8 is deviated, the measurement error of the optical center position deviation due to the deviation of the focus height of the camera is not caused. The impact can still be measured with high precision.

圖9中,Xw、Yw為晶圓透鏡之座標系統。Xm、Ym為設置有晶圓透鏡12之形狀測定裝置之座標系統。然而,在該狀態下,如圖9所示般,成為Xw、Yw之晶圓透鏡12之座標系統與Xm、Ym之形狀測定裝置之座標系統無法平行設置而多少存在偏離之狀態。In Fig. 9, Xw and Yw are coordinate systems of the wafer lens. Xm and Ym are coordinate systems in which the shape measuring device of the wafer lens 12 is provided. However, in this state, as shown in FIG. 9, the coordinate system of the wafer lens 12 of the Xw and Yw and the coordinate system of the shape measuring apparatus of Xm and Ym cannot be arranged in parallel, and there is a state of being somewhat deviated.

步驟206中,使用照相機8與XY平台3,測定設置於晶圓透鏡12上之2個定位標記29之位置,並記憶定位標記之中心位置XaA1、XaA2。根據上述測定之2個定位標記位置,相對於3次元測定機之座標,測定晶圓透鏡12之旋轉位置 偏離γ。上述算出之程序可根據利用步驟205中說明之照相機8之定位標記中心算出程序算出。In step 206, the position of the two positioning marks 29 provided on the wafer lens 12 is measured using the camera 8 and the XY stage 3, and the center positions XaA1 and XaA2 of the positioning marks are memorized. The rotational position of the wafer lens 12 is measured with respect to the coordinates of the 3-dimensional measuring machine based on the two positioning mark positions measured as described above. Deviate from γ. The above calculated program can be calculated based on the positioning mark center calculation program of the camera 8 described in step 205.

晶圓上之2個定位標記如圖9所示般,2個定位標記29作為構成於Y軸上近旁者進行以下說明。求取該2個定位標記29之XY位置向量之差,若如圖9所示般將2個定位標記29之Y方向之距離設為YLd,將2個標記之X方向之偏離設為dX,則將測定機之繞Z軸之旋轉位置偏離算出作為γ=atan(dX/YLd)。The two positioning marks on the wafer are as shown in Fig. 9, and the two positioning marks 29 are described as being arranged on the Y-axis. The difference between the XY position vectors of the two positioning marks 29 is obtained, and as shown in FIG. 9, the distance between the two positioning marks 29 in the Y direction is YLd, and the deviation of the X marks in the X direction is set to dX. Then, the rotational position of the measuring machine about the Z axis is calculated as γ = atan (dX / YLd).

對此,在步驟207中,藉由設置於晶圓卡盤13之下部之γ平台23使晶圓透鏡12旋轉所測定之γ偏離之量,以使晶圓透鏡之XY座標平行於3次元測定機之X基準鏡面5、Y基準鏡面7之方式調整。In this regard, in step 207, the gamma deviation of the wafer lens 12 is rotated by the gamma stage 23 disposed at the lower portion of the wafer chuck 13 so that the XY coordinates of the wafer lens are parallel to the 3-dimensional measurement. The X reference mirror 5 and the Y reference mirror 7 are adjusted.

步驟208中,確認γ之值相對於預先設定之特定值之偏離是否在規定範圍內。若在範圍內則進到步驟209,若在範圍外,則重複自步驟206起之程序。In step 208, it is confirmed whether or not the deviation of the value of γ with respect to a predetermined specific value is within a predetermined range. If it is within the range, the process proceeds to step 209. If it is outside the range, the process from step 206 is repeated.

步驟209中,以利用探針1通過晶圓透鏡12上之各透鏡中心之方式,以一筆連續形狀,在X方向與Y方向之2方向上測定所有晶圓透鏡。In step 209, all of the wafer lenses are measured in one continuous direction in the X direction and the Y direction in a continuous shape so that the probe 1 passes through the center of each lens on the wafer lens 12.

根據上述測定之2個定位標記29之位置,算出晶圓透鏡12之中心位置,並針對所要測定之所有透鏡34,建立在X方向、Y方向以一筆連續形狀測定之測定路徑之NC路徑,且以如圖10所示般通過晶圓透鏡12上之全面之透鏡34之頂點位置附近之方式,以一筆連續形狀依序掃描X方向、Y方向與探針1,得到晶圓上之所有透鏡之XY軸上之測定資 料。Calculating the center position of the wafer lens 12 based on the positions of the two positioning marks 29 measured as described above, and establishing an NC path of the measurement path measured in one continuous shape in the X direction and the Y direction for all the lenses 34 to be measured, and The X direction, the Y direction and the probe 1 are sequentially scanned in a continuous shape by the vicinity of the vertex positions of the comprehensive lenses 34 on the wafer lens 12 as shown in FIG. 10 to obtain all the lenses on the wafer. Measurement on the XY axis material.

此處測定之晶圓透鏡12之透鏡34之排列需要以X方向、Y方向分別等間隔間距配置為格柵狀。連續掃描測定該配置為格柵狀之透鏡34。全部之透鏡形狀之設計式相同。The arrangement of the lenses 34 of the wafer lens 12 measured here needs to be arranged in a grid shape at equal intervals in the X direction and the Y direction. The lens 34, which is arranged in a grid shape, is measured by continuous scanning. The design of all lens shapes is the same.

步驟210中,使用以步驟209測定之X方向與Y方向之2方向之測定資料、以步驟206之步驟求得之2個之定位標記29之位置XaA1、XaA2、及探針1與照相機8之中心間距離XoA,以定位標記29為基準而算出晶圓透鏡12上之各透鏡中心。In step 210, the measurement data in the two directions of the X direction and the Y direction measured in step 209, the positions XaA1 and XaA2 of the two positioning marks 29 obtained by the step of step 206, and the probe 1 and the camera 8 are used. The center-to-center distance XoA is calculated from the positioning marks 29 to calculate the center of each lens on the wafer lens 12.

以下說明該程序。以圖10所示之一筆連續形狀,在X方向上測定透鏡全面,再者在Y方向上測定透鏡全面,以探針之掃描測定結束後,以各XY之掃描資料,根據預先輸入之設計上之透鏡排列之X方向與Y方向之間距,以測定機之座標為基準針對每個透鏡分割X方向與Y方向之測定資料。The procedure is described below. In the continuous shape of one of the pens shown in FIG. 10, the lens is measured in the X direction, and the lens is measured in the Y direction. After the scanning of the probe is completed, the scanning data of each XY is used according to the design of the pre-input. The distance between the X direction and the Y direction of the lens arrangement is divided into measurement data of the X direction and the Y direction for each lens based on the coordinates of the measuring machine.

此處,在圖9中顯示透鏡位置(i,j)與表示該透鏡位置之索引i,j之關係。i,j之索引係將晶圓透鏡之中央之透鏡設為(i,j)=(0,0),且在X+方向之第一個透鏡定義為i=+1,在Y+方向之第一個透鏡定義為j=+1。Here, the relationship between the lens position (i, j) and the index i, j indicating the position of the lens is shown in FIG. The index of i, j is set to (i, j) = (0, 0) in the center of the wafer lens, and the first lens in the X + direction is defined as i = +1, the first in the Y + direction The lenses are defined as j=+1.

在圖11中說明資料分割之程序。連續之測定資料針對設計間距之整數倍之i個之每一個,設定虛擬中心位置X[i]=i * Xp,且自該中心起將透鏡之排列間距之一半距離之±Xp/2之範圍之資料作為第i個透鏡之資料,並根據原來之一筆畫連續資料進行分割。The procedure for data segmentation is illustrated in FIG. The continuous measurement data is set to the virtual center position X[i]=i*Xp for each of the integer multiples of the design pitch, and the range of ±Xp/2 of one half distance of the arrangement pitch of the lenses from the center The data is used as the data of the i-th lens, and is segmented according to the original one of the strokes.

同樣地設定Y方向之虛擬中心位置Y[j]=j * Yp,且自該中心起將透鏡之排列間距之一半距離之±Yp/2之範圍之資料作為第j個透鏡之資料,並根據原來之一筆連續形資料進行分割。Similarly, the virtual center position Y[j]=j*Yp in the Y direction is set, and the data of the range of ±Yp/2 which is one half distance of the arrangement pitch of the lenses from the center is used as the data of the jth lens, and according to Originally one piece of continuous data was segmented.

且,將交點為同一點之X方向與Y方向之1組之資料作為1個透鏡之測定資料,記憶於未圖示之電腦之記憶體。使用該經分割之資料,按每個透鏡對準經切取之資料,並評估為根據中心位置、形狀偏離、設計式之最大偏離量即PV(Peak to Valley:峰谷)、RMS(Root Mean Square:均方根)等。Further, the data of one set of the X direction and the Y direction having the same point as the same point is used as the measurement data of one lens, and is stored in the memory of a computer not shown. Using the segmented data, the cut data is aligned for each lens and evaluated as the maximum deviation from the center position, shape deviation, design, ie PV (Peak to Valley), RMS (Root Mean Square) : RMS) and so on.

使用上述經分割之各透鏡34之每個之資料,根據測定透鏡34之XY軸上之XZ與YZ剖面之資料,就相對於測定機之透鏡之中心位置,以各測定點之測定資料與設計形狀之差之平方和為最小之方式,使測定資料點行差設計式之座標系統上在X方向、Y方向、Z方向、繞X軸之A旋轉方向、繞Y軸之B旋轉方向移動,且針對晶圓透鏡12上之所有透鏡34依序算出該移動量,而算出晶圓透鏡12上之所有透鏡34之透鏡中心位置。在晶圓面單側,各自之透鏡形狀之設計式相同。Using the data of each of the divided lenses 34, based on the XZ and YZ profiles on the XY axis of the measuring lens 34, the measurement data and design of each measuring point are determined with respect to the center position of the lens of the measuring machine. The sum of the squares of the difference of the shapes is the smallest, and the coordinate system of the measurement data point difference design is moved in the X direction, the Y direction, the Z direction, the A rotation direction around the X axis, and the B rotation direction around the Y axis. The amount of movement is sequentially calculated for all the lenses 34 on the wafer lens 12, and the lens center positions of all the lenses 34 on the wafer lens 12 are calculated. On the one side of the wafer surface, the design of each lens shape is the same.

圖12為晶圓上之(i,j)位置之測定資料點行(Xk,Yk,Zk)與設計形狀。圖12中為了易於說明,顯示XZ剖面上之測定資料點行與設計形狀。Figure 12 shows the measured data point rows (Xk, Yk, Zk) and the design shape of the (i, j) position on the wafer. In Fig. 12, for the sake of easy explanation, the measurement data dot row and design shape on the XZ section are displayed.

圖12中,使用測定資料點行之各點之資料與以Z=f(x,y)表示之設計形狀,根據測定資料之(Xk,Yk)之各位置, 由Zfk=f(Xk,Yk)算出Zfk,且算出該值與上述測定資料之Zk之差、Zdk=Zk-Zfk,算出相對於所有測定資料之平方和、ΣZdk2 為最小之繞Y軸之旋轉dBa、及X軸方向之並進移動量dXa、Z軸方向之移動量dZa。In Fig. 12, the data of each point of the measurement data point row and the design shape expressed by Z = f (x, y) are used, and Zfk = f (Xk, Yk) according to each position of the (Xk, Yk) of the measurement data. Calculate Zfk, calculate the difference between this value and Zk of the above-mentioned measurement data, and Zdk=Zk-Zfk, and calculate the square sum of all the measured data, the rotation dBa around the Y-axis with the smallest ΣZdk 2 , and the X-axis direction. The movement amount dZa in the movement amount dXa and the Z-axis direction.

圖12之說明中雖為XZ面上之說明圖,但XZ剖面與YZ剖面之所有資料之情形亦藉由以相同之程序,以XYZ3次元測定資料(Xk,Yk,Zk),將與設計形狀Z=f(Xk,Yk)之平方和為最小之移動量作為dXa、dYa、dZa、dAa、dBa算出,根據XY2方向之測定資料點行,算出自透鏡中心位置之偏離dXa、dYa。根據該偏離與透鏡之一筆連續形狀之資料,將(i,j)位置之透鏡中心位置作為以下之式,針對所有透鏡使i、j之值改變,而依序算出在對應於各透鏡逐一分割時以4-4)決定之上述虛擬中心位置之和。In the description of Fig. 12, although the description is on the XZ plane, the case of all the data of the XZ profile and the YZ profile is also determined by the same procedure using the XYZ3 dimension measurement data (Xk, Yk, Zk). The amount of movement in which the sum of squares of Z=f(Xk, Yk) is the smallest is calculated as dXa, dYa, dZa, dAa, and dBa, and the deviation dXa and dYa from the center position of the lens are calculated from the measurement data line in the XY2 direction. According to the deviation from the continuous shape of one of the lenses, the center position of the lens at the (i, j) position is used as the following equation, and the values of i and j are changed for all the lenses, and sequentially calculated to be divided one by one corresponding to each lens. The sum of the above virtual center positions determined by 4-4).

[數8]Xf[i,j]=X[i]+dXa Yf[i,j]=Y[i]+dYa[Number 8] Xf[i,j]=X[i]+dXa Yf[i,j]=Y[i]+dYa

將上述透鏡之中心位置資料點行作為(Xf[i,j],Yf[i,j])(i、j為表示晶圓上之XY平面之透鏡之格柵位置之整數值)並記憶於未圖示之電腦之記憶體。The center position data point of the above lens is taken as (Xf[i,j], Yf[i,j]) (i, j is an integer value indicating the grid position of the lens of the XY plane on the wafer) and is memorized Memory of a computer not shown.

上述各透鏡之測定中心,先前係藉由以將晶圓上之定位標記之座標盡可能地平行地接近測定機之座標之方式,使上述γ軸平台旋轉而設置,但由於γ軸馬達之定位精度之限制,要以使上述2個定位標記之X方向之位置偏離dX成為1μm以下之方式使γ軸旋轉並定位,有其困難。The measurement center of each of the above lenses is previously provided by rotating the γ-axis platform so that the coordinates of the positioning marks on the wafer are as close as possible to the coordinates of the measuring machine, but the positioning of the γ-axis motor is performed. In order to limit the accuracy, it is difficult to rotate and position the γ-axis so that the position of the two positioning marks in the X direction deviates from the dX to 1 μm or less.

對此,使用利用照相機測量之上述定位標記位置之偏離YL2、dX2之值,就上述算出之所有透鏡之中心位置,以定位標記為基準之方式,使透鏡之所有中心XY位置資料點行(Xf[i,j],Yf[i,j])(i、j為表示晶圓上之XY平面上之透鏡之格柵位置之整數值)旋轉角度γ2=atan(dX2/YLd2),而算出定位標記基準之透鏡中心位置。根據上述程序,可相對於以照相機求得之定位標記座標,高精度地求透鏡中心位置。In this regard, using the values of the deviations YL2 and dX2 of the position of the positioning marks measured by the camera, all the center XY position data points of the lens are made with respect to the center position of all the lenses calculated above, based on the positioning marks (Xf). [i, j], Yf[i, j]) (i, j is an integer value indicating the grid position of the lens on the XY plane on the wafer) rotation angle γ2 = atan (dX2 / YLd2), and the positioning is calculated Mark the center position of the lens of the reference. According to the above procedure, the lens center position can be accurately obtained with respect to the positioning mark coordinates obtained by the camera.

此處,圖9中顯示透鏡中心位置(Xf[i,j],Yf[i,j])與表示該透鏡位置之索引i、j之關係。作為以晶圓上之定位標記為基準之位置,將透鏡中心位置以(Xf[i,j],Yf[i,j])表示。該排列之i、j之索引將晶圓透鏡之中央作為(i,j)=(0,0),在X+方向之第一個透鏡定義為i=+1,在Y+方向之第一個透鏡定義為j=+1。Here, FIG. 9 shows the relationship between the lens center position (Xf[i, j], Yf[i, j]) and the indices i and j indicating the lens position. The position of the lens center is represented by (Xf[i, j], Yf[i, j]) as a position based on the positioning mark on the wafer. The index of i, j of the arrangement has the center of the wafer lens as (i, j) = (0, 0), the first lens in the X + direction is defined as i = +1, and the first lens in the Y + direction Defined as j=+1.

步驟211中將上述步驟測定之晶圓透鏡12以Y軸為旋轉軸將其正反翻轉而使B面成為利用探針1之測定側,以此方式安裝於晶圓卡盤13。In step 211, the wafer lens 12 measured in the above-described step is flipped forward and backward with the Y axis as a rotation axis, and the B surface is attached to the wafer chuck 13 by using the measurement side of the probe 1.

其後,根據步驟212,將藉由以202之步驟設置之晶圓透鏡11之正面以Y軸為旋轉軸而將晶圓正反翻轉而設置,然後測定形成於透明之晶圓透鏡之基板之背面之定位標記之情形時,藉由晶圓之正反之旋轉,在步驟202~210之測定中,使位於探針1側之定位標記29移動至晶圓卡盤13側之位置,且將照相機8之焦點高度利用Z軸平台9調整到位於晶圓卡盤側之定位標記29位置調整。Then, according to step 212, the front side of the wafer lens 11 disposed in the step of 202 is placed on the Y-axis as a rotation axis to reverse the wafer, and then the substrate formed on the transparent wafer lens is measured. In the case of the positioning mark on the back side, by the opposite rotation of the wafer, in the measurement of steps 202 to 210, the positioning mark 29 on the side of the probe 1 is moved to the position on the wafer chuck 13 side, and The focus height of the camera 8 is adjusted by the Z-axis stage 9 to the position of the positioning mark 29 on the wafer chuck side.

其後,根據步驟213,在維持以212之步驟利用Z軸平台9調整之照相機8之焦點高度位置下,使照相機8移動至校正用定位標記10之位置,以上述212之步驟將晶圓正反以Y軸為旋轉軸翻轉而設置,藉此以使照相機8之焦點與校正定位標記10對合之方式,將Z3軸平台11調整相當於經改變之晶圓厚度之Z高度之量。Thereafter, according to step 213, the camera 8 is moved to the position of the correction positioning mark 10 while maintaining the focus height position of the camera 8 adjusted by the Z-axis stage 9 in the step of 212, and the wafer is positively performed by the step of 212 described above. Instead, the Y-axis is set to be reversed by the rotation axis, whereby the Z3 axis stage 11 is adjusted by an amount corresponding to the Z height of the changed wafer thickness in such a manner that the focus of the camera 8 is aligned with the correction positioning mark 10.

步驟214中,對於以上述步驟211~213之程序進行調整而在XY方向上略微偏離之照相機8之中心位置,使用校正用定位標記10,測定探針1與照相機8之中心間距離XoB。In step 214, the center distance between the probes 10 and the camera 8 is measured using the calibration positioning mark 10 for the center position of the camera 8 which is slightly shifted in the XY direction by the procedure of the above-described steps 211 to 213, and the center distance XoB between the probe 1 and the camera 8 is measured.

該校正程序係利用與上述步驟205之說明所示之校正程序相同之校正程序進行校正。The calibration procedure is corrected using the same calibration procedure as the calibration procedure shown in the description of step 205 above.

步驟215~218中,在上述設置狀態下進行與步驟206~209相同之處理。In steps 215 to 218, the same processing as steps 206 to 209 is performed in the above-described setting state.

步驟219中,使用以218測定之X方向與Y方向之2方向之測定資料、以215之步驟求得之2個定位標記29之位置XaB1、XaB2、及探針1與照相機8之中心間距離XoB,以定位標記29為基準而算出晶圓透鏡12上之各透鏡中心。In step 219, the measurement data of the two directions of the X direction and the Y direction measured by 218, the positions XaB1 and XaB2 of the two positioning marks 29 obtained by the step of 215, and the distance between the centers of the probe 1 and the camera 8 are used. XoB calculates the center of each lens on the wafer lens 12 based on the positioning mark 29.

該算出程序係利用與上述步驟210之說明中所示之算出程序相同之算出程序算出。This calculation program is calculated by the same calculation program as the calculation program shown in the above description of step 210.

步驟220中,根據以步驟210求得之定位標記29基準下之A面之各透鏡中心位置、及將晶圓正反以Y軸為旋轉軸翻轉而設置之以步驟219求得之定位標記29基準下之B面之各透鏡中心位置,利用計算處理算出晶圓透鏡12之正反之透鏡之中心偏離。In step 220, the position marks 29 obtained in step 219 are set based on the center positions of the lenses on the A side under the reference mark 29 obtained in step 210 and the front and back of the wafer being reversed with the Y axis as the rotation axis. The center position of each lens of the B surface under the reference is calculated by calculation processing to calculate the deviation of the center of the wafer lens 12 from the center of the lens.

若將以上述步驟210之程序求得之晶圓正面之透鏡中心XY位置資料點行設為(Xf[i,j],Yf[i,j])(i、j為表示晶圓上之XY平面上之透鏡之格柵位置之整數值),在Y軸上旋轉180度並設置、測定,將以上述步驟219之程序求得之上述同一晶圓透鏡之背面之透鏡中心XY位置資料點行設為(Xb[i,j],Yb[i,j])(i、j為表示晶圓上之XY平面上之透鏡之格柵位置之整數值),則相對於正面之背面之左右方向之資料索引即i之值,若使用藉由在背面側翻轉而使極性反轉之值-i,則可指定透鏡位置,且透鏡正反間之中心位置偏離之點群,在背面之各透鏡基準下正面之各透鏡之中心位置偏離利用以下之式算出。If the lens center XY position data point line on the front side of the wafer obtained by the above step 210 is set to (Xf[i, j], Yf[i, j]) (i, j is the XY on the wafer) The integer value of the grid position of the lens on the plane is rotated 180 degrees on the Y-axis and set and measured. The lens center XY position data point line of the back surface of the same wafer lens obtained by the above procedure of step 219 is obtained. Set to (Xb[i,j], Yb[i,j]) (i, j is an integer value indicating the position of the grid of the lens on the XY plane on the wafer), and the left and right direction of the back side of the front side The data index is the value of i. If the value of the polarity inversion is inverted by flipping on the back side, the lens position can be specified, and the center position of the lens between the front and the back is deviated from the point group, and the lens on the back side. The center position deviation of each lens on the front side of the reference is calculated by the following equation.

[數9](dX[i,j],dY[i,j])=Xf[i,j],Yf[i,j])-(Xb[-i,j],Yb[-i,j])[9] (dX[i, j], dY[i, j]) = Xf[i, j], Yf[i, j]) - (Xb[-i, j], Yb[-i, j ])

i、j為表示晶圓上之XY平面上之透鏡之格柵位置之整數值i, j is an integer value indicating the position of the grid of the lens on the XY plane on the wafer

根據上述程序,可求出對應於晶圓上之正反之位置上之所有透鏡之正面與背面之透鏡中心位置偏離。According to the above procedure, the lens center positional deviation corresponding to the front and back sides of all the lenses on the wafer at the opposite position can be found.

根據上述步驟220之正面各透鏡中心位置資料、步驟219之背面各透鏡中心位置資料、步驟220之正反之透鏡之中心偏離之結果,評估晶圓透鏡12之特性。The characteristics of the wafer lens 12 are evaluated based on the results of the lens center position data on the front side of the step 220, the lens center position data on the back side of the step 219, and the deviation of the center of the lens from the step 220.

在步驟221結束測定。The measurement is ended at step 221 .

又,由於實際之晶圓透鏡之製造中,存在多種之厚度之晶圓透鏡,且晶圓上之標記高度因品種而變化,故根據品種之替換,利用上述校正程序,調整照相機高度調整用Z2 軸平台9與校正用定位標記高度調整用Z3軸平台11之高度。Moreover, since the wafer lens of a plurality of thicknesses is present in the manufacture of the actual wafer lens, and the mark height on the wafer varies depending on the type, the camera height adjustment Z2 is adjusted by the above-described correction program according to the replacement of the variety. The height of the shaft platform 9 and the Z3 axis platform 11 for adjusting the positioning mark height.

又,對於相同種類之晶圓透鏡12之單面(A面或B面)以定位標記29為基準重複測定透鏡位置之情形,可根據步驟201至210之程序進行測定。該情形,重複測定中進行第2片以後之晶圓透鏡12之測定之情形時,藉由跳過步驟203~205而測定,可縮短測定時間進行測定。Further, the case where the lens position is repeatedly measured on the one side (the A side or the B side) of the wafer lens 12 of the same type with the positioning mark 29 as a reference can be measured according to the procedures of steps 201 to 210. In this case, when the measurement of the wafer lens 12 after the second sheet is performed in the repeated measurement, the measurement is performed by skipping the steps 203 to 205, and the measurement time can be shortened and measured.

藉由如此以照相機測定校正用定位標記,以探針測定透鏡形狀與透鏡中心位置,進而使用上述經校正之偏移值,根據晶圓高度、或晶圓上之定位標記是附於正面或附於背面之高度,可不受照相機8之焦點調整時所調整之Z高度調整用Z2軸平台之XY方向之直線度偏離等之影響、與因照相機之焦點高度偏離所產生之光學中心位置偏離等之測量誤差之影響,而進行高精度之測定。By measuring the calibration positioning mark by the camera in this way, the lens shape and the lens center position are measured by the probe, and the corrected offset value is used, and the height of the wafer or the positioning mark on the wafer is attached to the front or attached. The height of the back surface is independent of the influence of the linearity deviation of the Z-axis stage in the XY direction, which is adjusted when the focus of the camera 8 is adjusted, and the optical center position deviation due to the deviation of the focus height of the camera. The influence of the measurement error is measured, and the measurement with high precision is performed.

本發明並不限定於上述實施形態,可進行各種更改。例如,關於設置有定位標記29之晶圓透鏡12之A面之測定中之探針1與照相機8之中心距離,無須如圖6之步驟204、205般使用校正用定位標記,亦可藉由使用晶圓透鏡12之定位標記29進行與步驟204、205相同之處理,進行探針1與照相機8之中心距離之校正。The present invention is not limited to the above embodiment, and various modifications can be made. For example, regarding the center distance between the probe 1 and the camera 8 in the measurement of the A side of the wafer lens 12 provided with the positioning mark 29, it is not necessary to use the calibration positioning mark as shown in steps 204 and 205 of FIG. The same processing as in steps 204 and 205 is performed using the positioning marks 29 of the wafer lens 12, and the center distance between the probe 1 and the camera 8 is corrected.

[產業上之可利用性][Industrial availability]

本發明之3次元測定方法,由於在使用探針高精度地測定3次元形狀之3次元中,利用照相機以定位標記位置為基準高精度地進行測定,可高精度地測定相對於探針位置之 偏移,故亦可將形成於晶圓透鏡、透鏡陣列等1片之基板上之複數個透鏡應用於高速且高精度地進行測定之3次元測定之用途。In the third-order measurement method of the present invention, the third-order element of the ternary shape is measured with high precision, and the camera accurately measures the position of the positioning mark with respect to the position of the positioning mark, thereby accurately measuring the position relative to the probe. Since the offset is applied, a plurality of lenses formed on one substrate such as a wafer lens or a lens array can be applied to a three-dimensional measurement in which measurement is performed at high speed and with high precision.

又上述實施例中,以晶圓透鏡為測定物說明實施例,但亦可替代晶圓透鏡而應用於製造晶圓透鏡之模具、或透鏡陣列等用途中。Further, in the above embodiments, the wafer lens is used as the measuring object, but the wafer lens is used as a measuring object, but it may be applied to a mold for manufacturing a wafer lens or a lens array instead of the wafer lens.

1‧‧‧探針1‧‧‧ probe

2‧‧‧Z1軸平台2‧‧‧Z1 axis platform

3‧‧‧XY平台3‧‧‧XY platform

8‧‧‧照相機8‧‧‧ camera

9‧‧‧Z2軸平台9‧‧‧Z2 axis platform

10‧‧‧校正用定位標記10‧‧‧Alignment marker

11‧‧‧Z3軸平台11‧‧‧Z3 axis platform

12‧‧‧晶圓透鏡12‧‧‧ wafer lens

29‧‧‧定位標記29‧‧‧ Positioning Mark

圖1係本發明之實施形態1之3次元測定方法之裝置全體圖。Fig. 1 is a view showing the entire apparatus of the three-dimensional measurement method according to the first embodiment of the present invention.

圖2係本發明之實施形態1之3次元測定方法之探針構成圖。Fig. 2 is a view showing the configuration of a probe of a three-dimensional measurement method according to the first embodiment of the present invention.

圖3係本發明之實施形態1之3次元測定方法之詳細圖。Fig. 3 is a detailed view showing a three-dimensional measurement method according to the first embodiment of the present invention.

圖4係本發明之實施形態1之晶圓透鏡與定位標記之構成圖。Fig. 4 is a view showing the configuration of a wafer lens and a positioning mark in the first embodiment of the present invention.

圖5(A)、(B)係本發明之實施形態1之校正用定位標記之構成圖。Figs. 5(A) and 5(B) are views showing the configuration of a positioning index mark for correction according to the first embodiment of the present invention.

圖6係本發明之實施形態1之全體測定流程。Fig. 6 is a flow chart showing the entire measurement of the first embodiment of the present invention.

本發明之實施形態1之校正用定位標記之邊緣部剖面圖。A cross-sectional view of an edge portion of the alignment mark for correction according to the first embodiment of the present invention.

圖7係本發明之實施形態1之定位標記之位置關係詳細圖。Fig. 7 is a detailed view showing the positional relationship of the positioning marks in the first embodiment of the present invention.

圖8係本發明之實施形態1之校正用定位標記測量之詳細圖。Fig. 8 is a detailed view showing the measurement of the positioning mark for correction in the first embodiment of the present invention.

圖9係本發明之實施形態1之晶圓透鏡之位置關係之詳細 圖。Figure 9 is a view showing the positional relationship of the wafer lens in the first embodiment of the present invention. Figure.

圖10係本發明之實施形態1之晶圓透鏡測定掃描路徑之詳細圖。Fig. 10 is a detailed view showing a wafer lens measurement scanning path according to the first embodiment of the present invention.

圖11係本發明之實施形態1之探針測得之測定資料之詳細圖。Fig. 11 is a detailed view of measurement data measured by the probe of the first embodiment of the present invention.

圖12係本發明之實施形態1之透鏡中心位置算出之詳細圖。Fig. 12 is a detailed view showing the calculation of the lens center position in the first embodiment of the present invention.

圖13係專利文獻1中記載之晶圓透鏡之構成圖。FIG. 13 is a configuration diagram of a wafer lens described in Patent Document 1.

圖14係顯示專利文獻1中記載之先前之3次元測定方法之圖。Fig. 14 is a view showing a method of measuring a previous three-dimensional method described in Patent Document 1.

圖15係顯示專利文獻1中記載之先前之3次元測定方法之圖。Fig. 15 is a view showing a method of measuring a previous three-dimensional method described in Patent Document 1.

1‧‧‧探針1‧‧‧ probe

2‧‧‧Z1軸平台2‧‧‧Z1 axis platform

3‧‧‧XY平台3‧‧‧XY platform

8‧‧‧照相機8‧‧‧ camera

9‧‧‧Z2軸平台9‧‧‧Z2 axis platform

10‧‧‧校正用定位標記10‧‧‧Alignment marker

11‧‧‧Z3軸平台11‧‧‧Z3 axis platform

12‧‧‧晶圓透鏡12‧‧‧ wafer lens

13‧‧‧晶圓卡盤13‧‧‧ wafer chuck

23‧‧‧γ平台2323‧‧‧γ platform 23

24‧‧‧石壓板24‧‧‧stone plate

29‧‧‧定位標記29‧‧‧ Positioning Mark

Claims (4)

一種3次元測定方法,其係以2個以上之表面檢測機構取得被測定物之表面形狀資料之3次元測定方法,其特徵在於:使與被測定物分開設置之XY方向之位置不相對於上述被測定物而移動之校正用定位標記之Z方向之高度與上述被測定物之表面高度一致;以上述2個以上之表面檢測機構測定已使高度一致之上述校正用定位標記;使用上述測定之結果校正上述2個以上之表面檢測機構之XY方向之偏移;且使用以上述2個以上之表面檢測機構測定之上述被測定物之表面形狀資料與經校正之上述偏移,求取上述被測定物之表面形狀。A three-dimensional measurement method for obtaining a surface shape data of an object to be measured by two or more surface detecting means, wherein the position in the XY direction provided separately from the object to be measured is not relative to the above The height of the calibration positioning mark moving in the Z direction is the same as the height of the surface of the object to be measured; and the two or more surface detecting means measure the positioning mark for matching the height; As a result, the offset in the XY direction of the two or more surface detecting means is corrected, and the surface shape data of the object to be measured measured by the two or more surface detecting means and the corrected offset are used to obtain the above-mentioned The surface shape of the object was measured. 如請求項1之3次元測定方法,其中上述表面檢測機構包含在於XY方向移動之XY平台上於Z方向移動之第1Z方向移動機構上設置之用於表面形狀測定之測桿,及在上述XY平台上於Z方向移動之第2Z方向移動機構上設置之測定XY面內之圖像之照相機;以上述照相機拍攝已與上述被測定物之表面高度一致之上述校正用定位標記,且以上述測桿測定,根據上述拍攝及測定之結果而校正上述測桿與上述照相機之中心位置之偏移;以上述測桿測定上述被測定物之表面形狀;且 使用利用上述測桿得到之測定結果與上述經校正之偏移,求取上述被測定物之表面形狀。The third dimension measuring method of claim 1, wherein the surface detecting means includes a measuring rod for surface shape measurement provided on a first Z-direction moving mechanism that moves in the Z direction on an XY stage that moves in the XY direction, and the above-mentioned XY a camera that measures an image in the XY plane provided in the second Z-direction moving mechanism that moves in the Z direction on the platform; and the calibration positioning mark that matches the surface height of the object to be measured is captured by the camera, and the measurement is performed Measuring the rod, correcting a deviation of the center position of the measuring rod from the camera according to the result of the photographing and measuring; and measuring a surface shape of the object to be measured by the measuring rod; The surface shape of the object to be measured is obtained by using the measurement result obtained by the above-described measuring rod and the corrected offset. 如請求項2之3次元測定方法,其中利用上述測桿之上述被測定物之表面形狀之測定,係以通過被測定物上之各透鏡面之頂點位置附近之方式,在透鏡面之X方向上一次測定,進而以通過透鏡面之頂點位置附近之方式,在Y方向上一次測定;根據上述測定資料,並根據預先設定之透鏡之X方向、Y方向之間距,按每個透鏡分割測定資料,且針對按每個透鏡分割之資料,評估形狀與透鏡中心之XYZ位置與姿勢。The third dimension measuring method according to claim 2, wherein the surface shape of the object to be measured by the measuring rod is measured in the X direction of the lens surface so as to pass near the vertex position of each lens surface on the object to be measured The last measurement is performed once in the Y direction so as to pass near the vertex position of the lens surface. According to the above measurement data, the measurement data is divided for each lens according to the X-direction and the Y-direction distance of the lens. And the XYZ position and posture of the shape and the center of the lens are evaluated for the data divided by each lens. 如請求項1至3中任一項之3次元測定方法,其中上述被測定物為於薄板上形成有多個透鏡之晶圓透鏡。The three-dimensional measurement method according to any one of claims 1 to 3, wherein the object to be measured is a wafer lens in which a plurality of lenses are formed on a thin plate.
TW101120336A 2011-06-10 2012-06-06 Three-dimensional measurement method TWI438394B (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP2011130321A JP5260703B2 (en) 2011-06-10 2011-06-10 3D measurement method

Publications (2)

Publication Number Publication Date
TW201305533A TW201305533A (en) 2013-02-01
TWI438394B true TWI438394B (en) 2014-05-21

Family

ID=47302803

Family Applications (1)

Application Number Title Priority Date Filing Date
TW101120336A TWI438394B (en) 2011-06-10 2012-06-06 Three-dimensional measurement method

Country Status (4)

Country Link
JP (1) JP5260703B2 (en)
KR (1) KR101318613B1 (en)
CN (1) CN102818532B (en)
TW (1) TWI438394B (en)

Families Citing this family (21)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102374835A (en) * 2010-08-25 2012-03-14 鸿富锦精密工业(深圳)有限公司 Measuring instrument
JP5747180B2 (en) * 2012-12-06 2015-07-08 パナソニックIpマネジメント株式会社 Shape measuring method and shape measuring apparatus
US10132622B2 (en) * 2013-02-05 2018-11-20 Renishaw Plc Method and apparatus for measuring a part
US11159784B2 (en) * 2014-10-23 2021-10-26 Cognex Corporation System and method for calibrating a vision system with respect to a touch probe
CN104332433B (en) * 2014-10-29 2018-04-10 武汉新芯集成电路制造有限公司 A kind of clear faller gill and its clear needle method
CN104457539B (en) * 2014-11-05 2017-06-06 大族激光科技产业集团股份有限公司 A kind of flying probe tester test probe lifts the computational methods of pin height
JP6570393B2 (en) * 2015-09-25 2019-09-04 株式会社ミツトヨ Method for controlling shape measuring apparatus
CN105785257B (en) * 2016-04-13 2019-06-14 大族激光科技产业集团股份有限公司 A kind of bearing calibration of flying probe tester
JP6843585B2 (en) * 2016-10-28 2021-03-17 株式会社日立エルジーデータストレージ Scanning image measuring device and scanning image measuring method
JP2019027924A (en) * 2017-07-31 2019-02-21 セイコーエプソン株式会社 Electronic component conveyance device, electronic component inspection device, positioning device, component conveyance device, and positioning method
CN110118533B (en) * 2018-02-05 2021-08-03 上海微电子装备(集团)股份有限公司 Three-dimensional detection method and detection device
US20190253700A1 (en) 2018-02-15 2019-08-15 Tobii Ab Systems and methods for calibrating image sensors in wearable apparatuses
KR102457415B1 (en) * 2018-02-26 2022-10-24 야마하 파인 테크 가부시키가이샤 Positioning device and positioning method
CN110111383B (en) * 2018-05-08 2022-03-18 广东聚华印刷显示技术有限公司 Glass substrate offset correction method, device and system
CN109855517B (en) * 2019-01-30 2020-10-30 温岭市宏晟建设有限公司 Bridge face flatness detection device
CN110186391A (en) * 2019-05-22 2019-08-30 浙江大学 A kind of threedimensional model gradient scan method
JP2021040002A (en) 2019-09-02 2021-03-11 キオクシア株式会社 Semiconductor storage device and method for manufacturing semiconductor storage device
CN116485914A (en) * 2020-01-02 2023-07-25 浙江大学台州研究院 Laser-assisted calibration method
JP7296334B2 (en) * 2020-03-26 2023-06-22 住友重機械工業株式会社 Straightness measurement system, displacement sensor calibration method, and straightness measurement method
CN111473694B (en) * 2020-06-01 2022-11-25 浏阳市棠花烟花有限公司 Firework setting-off barrel fixing device, setting-off system and setting-off method thereof
CN114719752B (en) * 2022-04-11 2023-07-21 中国科学院光电技术研究所 Method for measuring geometric parameters of precise parts based on universal tool microscope and measuring head

Family Cites Families (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS62265520A (en) * 1986-05-12 1987-11-18 Mitsutoyo Corp Three-dimensional measuring machine equipped with two detecting elements
DE69533910T2 (en) * 1994-03-31 2005-12-15 Tokyo Electron Ltd. Sensor system and measuring method
KR100446653B1 (en) 2002-04-09 2004-09-04 아남반도체 주식회사 An alignment appratus for wafer and alingment method of wafer using the same
JP2003315238A (en) * 2002-04-26 2003-11-06 Jeol Ltd Alignment method for measurement, cantilever and scanning probe microscope
EP1701231A1 (en) * 2005-03-08 2006-09-13 Mydata Automation AB Method of calibration
JP5260119B2 (en) * 2008-04-02 2013-08-14 東京エレクトロン株式会社 Alignment method
US8194323B2 (en) 2008-04-28 2012-06-05 Konica Minolta Opto, Inc. Method for producing wafer lens assembly and method for producing wafer lens
JP4705142B2 (en) * 2008-10-10 2011-06-22 パナソニック株式会社 3D shape measurement method
JP5644765B2 (en) * 2009-08-31 2014-12-24 コニカミノルタ株式会社 Wafer lens manufacturing method
JP5350171B2 (en) * 2009-10-13 2013-11-27 株式会社ミツトヨ Offset amount calibration method and surface texture measuring machine
JP5138656B2 (en) * 2009-10-15 2013-02-06 シャープ株式会社 Lens evaluation method
CN201555561U (en) * 2009-12-10 2010-08-18 中国华录·松下电子信息有限公司 Equipment for measuring workpiece with complex and irregular cylindrical helical curve orbit
KR101078781B1 (en) * 2010-02-01 2011-11-01 주식회사 고영테크놀러지 Method of inspecting a three dimensional shape

Also Published As

Publication number Publication date
JP2012255756A (en) 2012-12-27
TW201305533A (en) 2013-02-01
KR20120137248A (en) 2012-12-20
CN102818532B (en) 2014-11-05
KR101318613B1 (en) 2013-10-15
JP5260703B2 (en) 2013-08-14
CN102818532A (en) 2012-12-12

Similar Documents

Publication Publication Date Title
TWI438394B (en) Three-dimensional measurement method
US11465232B2 (en) Laser patterning skew correction
JP3446741B2 (en) Light beam deflection control method and optical shaping apparatus
TWI633279B (en) Substrate measuring device and laser processing system
TW201302419A (en) Imprint apparatus and article manufacturing method
TWI544283B (en) Exposure device
US20190204733A1 (en) Imprint method, imprint apparatus, and article manufacturing method
CN112697112B (en) Method and device for measuring horizontal plane inclination angle of camera
CN102538707B (en) Three dimensional localization device and method for workpiece
CN113467194B (en) Ambient temperature compensation method, alignment device and direct-writing imaging lithography equipment
US20150286075A1 (en) 3D Tracer
CN103197500B (en) A kind of method measuring mirror surface shape compensation effect
TW200944748A (en) Lens measuring device, lens measuring method and lens manufacturing method
JP2012133122A (en) Proximity exposing device and gap measuring method therefor
TW201940272A (en) Laser marking apparatus
KR100903900B1 (en) Align method for multi laser vision system and align apparatus thereof
KR101891681B1 (en) Apparatus for alignment of pivot point using vision
CN103454862B (en) For the workpiece table position error compensation method of lithographic equipment
CN214537774U (en) Image measuring apparatu Z axle does not have stage difference calibration piece
CN111654681A (en) Projection splicing method of DLP optical machine
TWI492820B (en) Rigid brittle plate chamfering device
JP5253217B2 (en) Substrate alignment method, substrate alignment apparatus, laser processing apparatus and solar panel manufacturing method
CN110062914B (en) Proximity exposure apparatus and proximity exposure method
KR102333943B1 (en) Exposure apparatus, stage calibration system, and stage calibration method
WO2021090613A1 (en) Alignment device