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TW202134607A - Linearity correction method of optical measuring device, optical measuring method and optical measuring device - Google Patents

Linearity correction method of optical measuring device, optical measuring method and optical measuring device Download PDF

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TW202134607A
TW202134607A TW109131916A TW109131916A TW202134607A TW 202134607 A TW202134607 A TW 202134607A TW 109131916 A TW109131916 A TW 109131916A TW 109131916 A TW109131916 A TW 109131916A TW 202134607 A TW202134607 A TW 202134607A
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TWI857141B (en
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中嶋一八
野口宗裕
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日商大塚電子股份有限公司
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01JMEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
    • G01J3/00Spectrometry; Spectrophotometry; Monochromators; Measuring colours
    • G01J3/28Investigating the spectrum
    • G01J3/2803Investigating the spectrum using photoelectric array detector
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01JMEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
    • G01J3/00Spectrometry; Spectrophotometry; Monochromators; Measuring colours
    • G01J3/28Investigating the spectrum
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01JMEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
    • G01J3/00Spectrometry; Spectrophotometry; Monochromators; Measuring colours
    • G01J3/28Investigating the spectrum
    • G01J3/2803Investigating the spectrum using photoelectric array detector
    • G01J2003/2816Semiconductor laminate layer
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01JMEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
    • G01J3/00Spectrometry; Spectrophotometry; Monochromators; Measuring colours
    • G01J3/28Investigating the spectrum
    • G01J2003/2866Markers; Calibrating of scan
    • G01J2003/2876Correcting linearity of signal

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Abstract

使用CMOS線性圖像傳感器的光學測量裝置的高精度線性校正。提供一種具備CMOS線性圖像傳感器的光學測量裝置的線性校正方法,其包含以下步驟:曝光步驟,改變曝光時間,使恆定強度的基準光依序入射在該CMOS線性圖像傳感器的關注受光元件上;測量值獲得步驟,依序獲得該關注受光元件的測量值;實際線性誤差計算步驟,依序計算出指示基於與該測量值對應的該曝光時間所獲得的線性值和該測量值之差的實際線性誤差;及擬合(fitting)步驟,對於每個該實際線性誤差,執行指示第一線性誤差的第一函數的擬合。High-precision linear correction of optical measurement devices using CMOS linear image sensors. Provided is a linear correction method for an optical measurement device with a CMOS linear image sensor, which includes the following steps: an exposure step, changing the exposure time, so that reference light of constant intensity is sequentially incident on the focused light-receiving element of the CMOS linear image sensor ; The measurement value obtaining step is to sequentially obtain the measurement value of the light-receiving element of interest; the actual linear error calculation step is to sequentially calculate the difference between the linear value obtained based on the exposure time corresponding to the measurement value and the measurement value An actual linearity error; and a fitting step, for each of the actual linearity errors, a fitting of a first function indicating the first linearity error is performed.

Description

光學測量裝置的線性校正方法、光學測量方法和光學測量裝置Linear correction method of optical measuring device, optical measuring method and optical measuring device

本發明有關一種光學測量裝置的線性校正方法、光學測量方法和光學測量裝置。The invention relates to a linear correction method of an optical measuring device, an optical measuring method and an optical measuring device.

CCD(Charged-coupled devices)線性圖像傳感器可用於光學測量設備(例如多通道光譜儀等)中。由繞射光柵分散的測量光的特定波長部分分別入射到配置在CCD線性圖像傳感器中的每個受光元件上,並且從此等受光元件輸出與光強度相對應的電信號。然而,儘管CCD線性圖像傳感器通常具有高靈敏度的優點,但其結構趨於復雜且昂貴。 [專利文獻]CCD (Charged-coupled devices) linear image sensors can be used in optical measurement equipment (such as multi-channel spectrometers, etc.). The specific wavelength portion of the measurement light dispersed by the diffraction grating is incident on each light receiving element arranged in the CCD linear image sensor, and an electric signal corresponding to the light intensity is output from these light receiving elements. However, although the CCD linear image sensor generally has the advantage of high sensitivity, its structure tends to be complicated and expensive. [Patent Literature]

[專利文獻1] 特開平5-15628號公報[Patent Document 1] Japanese Patent Laid-open No. 5-15628

CMOS(Complementary Metal Oxide Semiconductor)線性圖像傳感器也被稱為具有與CCD線性圖像傳感器相同功能的電子零件。CMOS線性圖像傳感器具有結構極為簡單、成本低、耗電力低、速度易於提高的優點。CMOS (Complementary Metal Oxide Semiconductor) linear image sensors are also called electronic parts with the same functions as CCD linear image sensors. The CMOS linear image sensor has the advantages of extremely simple structure, low cost, low power consumption, and easy speed improvement.

然而,CMOS線性圖像傳感器具有線性度低於CCD線性圖像傳感器的線性度的缺點。亦即,存在如下缺點:即使具有α倍強度的光入射到配置在CMOS線性圖像傳感器中的每個受光元件上,也未必獲得α倍的測量值。因此,存在無法根據CMOS線性圖像傳感器的原始輸出值立即確定被測光的強度的問題。故,當將CMOS線性圖像傳感器用作光學測量裝置時,需要高精密度的線性校正。However, the CMOS linear image sensor has the disadvantage that the linearity is lower than that of the CCD linear image sensor. That is, there is a disadvantage that even if light having an intensity of α times is incident on each light receiving element arranged in the CMOS linear image sensor, a measurement value of α times is not necessarily obtained. Therefore, there is a problem that the intensity of the light to be measured cannot be determined immediately based on the original output value of the CMOS linear image sensor. Therefore, when a CMOS linear image sensor is used as an optical measurement device, high-precision linear correction is required.

本發明為有鑑於上述問題點而發明之,其目的是為提供一種能夠以高精密度對使用CMOS線性圖像傳感器的光學測量裝置進行線性校正的線性校正方法、使用該方法的光學測量方法以及光學測量裝置。The present invention was invented in view of the above-mentioned problems, and its purpose is to provide a linear correction method capable of linearly correcting an optical measurement device using a CMOS linear image sensor with high precision, an optical measurement method using the method, and Optical measuring device.

為了解決上述問題,根據本發明的線性校正方法,為一種光學測量裝置的線性校正方法,其特徵具備CMOS線性圖像傳感器,包含以下步驟: 曝光步驟,改變曝光時間,使恆定強度的基準光依序入射在該CMOS線性圖像傳感器的關注受光元件上; 測量值獲得步驟,依序獲得該關注受光元件的測量值; 實際線性誤差計算步驟,依序計算出指示基於與該測量值對應的該曝光時間所獲得的線性值和該測量值之差的實際線性誤差;及 擬合(fitting)步驟,對於每個該實際線性誤差,執行指示第一線性誤差的第一函數的擬合。In order to solve the above problems, the linear correction method according to the present invention is a linear correction method for an optical measuring device, which is characterized by a CMOS linear image sensor, and includes the following steps: In the exposure step, the exposure time is changed so that the reference light of constant intensity is incident on the focused light-receiving element of the CMOS linear image sensor in sequence; The measurement value obtaining step is to sequentially obtain the measurement value of the concerned light-receiving element; The actual linear error calculation step sequentially calculates the actual linear error indicating the difference between the linear value obtained based on the exposure time corresponding to the measured value and the measured value; and In a fitting step, for each of the actual linear errors, fitting of a first function indicating the first linear error is performed.

在此,該第一函數可以為二次函數。Here, the first function may be a quadratic function.

此外,該擬合步驟係可以藉由使用指示每個該實際線性誤差和該第一線性誤差之間的差的總量的目標函數的最小二乘法來確定該第一函數的可變參數。該目標函數可以包含指示該第一線性誤差和對應於每個該測量值的該實際線性誤差之間的差的項。此等項可以由指示每個該測量值的偏差的偏差量加權。In addition, the fitting step may determine the variable parameter of the first function by using a least square method of the objective function indicating the total amount of the difference between each actual linear error and the first linear error. The objective function may include a term indicating the difference between the first linear error and the actual linear error corresponding to each of the measured values. These terms can be weighted by the amount of deviation that indicates the deviation of each of the measured values.

此外,可進一步包含對利用該第一函數所校正的該測量值執行曝光時間校正的曝光時間校正步驟。In addition, it may further include an exposure time correction step of performing exposure time correction on the measured value corrected by the first function.

此外,該曝光時間校正步驟係可將隨著曝光時間變長而接近預定值的第二函數應用於利用該第一函數所校正的該測量值來執行該曝光時間校正。In addition, the exposure time correction step may apply a second function approaching a predetermined value as the exposure time becomes longer to the measured value corrected by the first function to perform the exposure time correction.

於此,該第二個函數可為分數函數。Here, the second function can be a fractional function.

此外,該測量值可基於當該基準光入射時的該關注受光元件的第一輸出值與當該基準光不入射時的該關注受光元件的第二輸出值之間的差而取得。In addition, the measurement value may be obtained based on the difference between the first output value of the light-receiving element of interest when the reference light is incident and the second output value of the light-receiving element of interest when the reference light is not incident.

此外,該擬合步驟可利用基於預定閾值以上的該第一輸出值所獲得的該測量值來執行該擬合。In addition, the fitting step may perform the fitting using the measurement value obtained based on the first output value above a predetermined threshold.

此外,該CMOS線性圖像傳感器可包含非關注受光元件,非關注受光元件在該基準光入射到該關注受光元件上的時間內沒有光入射。此時,該線性校正方法,可進一步包含基本校正值計算步驟,該基本校正值計算步驟係計算在該基準光入射到該關注受光元件上時使該非關注受光元件的測量值接近於零的基本校正值。該測量值獲得步驟可依序獲得由該基本校正值所校正的該測量值。In addition, the CMOS linear image sensor may include a non-attention light-receiving element, and the non-attention light-receiving element has no light incident during the time when the reference light is incident on the attention light-receiving element. At this time, the linear correction method may further include a basic correction value calculation step that calculates the basic value that makes the measured value of the non-attention light-receiving element close to zero when the reference light is incident on the light-receiving element of interest. Correction value. The measurement value obtaining step may sequentially obtain the measurement value corrected by the basic correction value.

根據本發明之光學測量方法,係使用上述任一項所述之光學測量裝置的線性校正方法,當測量光入射到該關注受光元件上時,基於該第一函數校正該關注受光元件的測量值。According to the optical measurement method of the present invention, the linear correction method of the optical measurement device described in any one of the above is used. When the measurement light is incident on the light-receiving element of interest, the measured value of the light-receiving element of interest is corrected based on the first function .

有複數個該關注受光元件。此外,當測量光入射在每個該關注受光元件上時,可基於代表針對複數個該關注受光元件中的每個可獲得的該第一函數的一個函數來校正該關注受光元件的測量值。There are a plurality of light-receiving elements of interest. In addition, when the measurement light is incident on each light-receiving element of interest, the measurement value of the light-receiving element of interest can be corrected based on a function representing the first function obtainable for each of the light-receiving elements of interest.

根據本發明之光學測量裝置,包含: 記憶裝置,記憶與藉由上述任一項所述的線性校正方法所獲得的該第一函數相對應的校正參數;及校正裝置,當測量光入射到該關注受光元件上時,使用該校正參數來校正該關注受光元件的測量值。The optical measuring device according to the present invention includes: A memory device, which memorizes the correction parameter corresponding to the first function obtained by the linear correction method described in any one of the above; and a correction device, which uses the correction parameter when the measuring light is incident on the light-receiving element of interest To correct the measured value of the light-receiving element of interest.

以下,將參考附圖詳細說明本發明的實施例。Hereinafter, embodiments of the present invention will be described in detail with reference to the drawings.

圖1顯示出根據本發明之一實施例的光學測量裝置的結構圖。光學測量裝置10利用分散從諸如光源11的樣品發出的光來測量每個波長的光強度,亦即,光譜。光譜例如可以直接用作光源11的光學特性資訊。此外,當樣品為薄膜時,來自該薄膜的反射光的光譜可以用於例如計算薄膜的厚度。Fig. 1 shows a structural diagram of an optical measuring device according to an embodiment of the present invention. The optical measuring device 10 measures the light intensity of each wavelength, that is, the spectrum, by dispersing light emitted from a sample such as the light source 11. The spectrum can be directly used as the optical characteristic information of the light source 11, for example. In addition, when the sample is a thin film, the spectrum of the reflected light from the thin film can be used, for example, to calculate the thickness of the thin film.

從樣品例如光源11發出的光被施加到設置在光學測量裝置10中的狹縫12。狹縫12具有例如細長的矩形狀開口。截止式濾光片13根據需要設置在狹縫12的背面。截止式濾光片13係阻擋波長在測量範圍之外的光。已經通過截止式濾光片13的測量光到達準直鏡14。準直鏡14例如為曲率恆定的凹面鏡,將通過狹縫12的測量光反射並轉換為平行光,並往繞射光柵15照射平行光。The light emitted from the sample such as the light source 11 is applied to the slit 12 provided in the optical measuring device 10. The slit 12 has, for example, an elongated rectangular opening. The cut-off filter 13 is provided on the back surface of the slit 12 as necessary. The cut-off filter 13 blocks light whose wavelength is outside the measurement range. The measurement light that has passed through the cut-off filter 13 reaches the collimator lens 14. The collimator lens 14 is, for example, a concave mirror with a constant curvature, which reflects and converts the measurement light passing through the slit 12 into parallel light, and irradiates the diffraction grating 15 with the parallel light.

繞射光柵15沿與該波長相對應的方向繞射從準直鏡14發射的光的每個波長分量。繞射光柵15例如為反射型繞射光柵,並且可以在反射表面上設置有複數個凹槽,該複數個凹槽係沿與狹縫12的開口相同的方向延伸。結果,繞射光柵15反射從準直鏡14發射的光的每個波長分量,使得其強度在與波長相對應的方向上增加。The diffraction grating 15 diffracts each wavelength component of the light emitted from the collimator lens 14 in a direction corresponding to the wavelength. The diffraction grating 15 is, for example, a reflection type diffraction grating, and a plurality of grooves may be provided on the reflective surface, and the plurality of grooves extend in the same direction as the opening of the slit 12. As a result, the diffraction grating 15 reflects each wavelength component of the light emitted from the collimator lens 14 so that its intensity increases in a direction corresponding to the wavelength.

聚焦鏡16,例如具有恆定曲率的凹面鏡,反射由繞射光柵15所繞射的每個波長分量的光,並將其聚集在配置在CCD線性圖像傳感器17中的每個光接收元件上。如圖2示意性所示,CCD線性圖像傳感器17包含複數個(於此為1024個)光接收元件17-0~17-1023,其在繞射光柵15的繞射方向上以相等的間隔配置。每個光接收元件17-i包含有光二極體,該光二極體存儲隨著接收的光的強度和時間而增加的電荷,並輸出與所存儲的電荷量相對應的值。每個光接收元件17-i根據其配置順序被分配波長,並且輸出被分配波長的光學部件的強度。與此,下標i表示波長通道(0〜1023)。The focusing mirror 16, for example, a concave mirror having a constant curvature, reflects the light of each wavelength component diffracted by the diffraction grating 15 and concentrates it on each light receiving element arranged in the CCD linear image sensor 17. As shown schematically in FIG. 2, the CCD linear image sensor 17 includes a plurality of (here, 1024) light receiving elements 17-0 to 17-1023, which are spaced at equal intervals in the diffraction direction of the diffraction grating 15 Configuration. Each light-receiving element 17-i includes a photodiode that stores electric charge that increases with the intensity and time of the received light, and outputs a value corresponding to the amount of stored electric charge. Each light receiving element 17-i is assigned a wavelength according to its arrangement order, and outputs the intensity of the optical component to which the wavelength is assigned. Here, the subscript i represents the wavelength channel (0~1023).

每個光接收元件17-i的輸出值,輸入到主要由電腦所組成的計算部18。計算部18將諸如線性校正之類的各種校正應用於每個輸出值以獲得每個波長分量的光強度的測量值。The output value of each light receiving element 17-i is input to the calculation unit 18 mainly composed of a computer. The calculation section 18 applies various corrections such as linear correction to each output value to obtain a measurement value of the light intensity of each wavelength component.

CMOS線性圖像傳感器17具有如上所述的線性差的缺點。因此,在光學測量裝置10中,對CMOS線性圖像傳感器17的光接收元件17-i的原始輸出值進行了各種校正,以實現線性度。亦即,基於校正參數的轉換被應用於每個光接收元件17-i的原始輸出值,並且被用作測量值。如此獲得的測量值具有所謂的線性,當光強度增加α倍時,同樣也增加α倍。The CMOS linear image sensor 17 has the disadvantage of poor linearity as described above. Therefore, in the optical measurement device 10, various corrections are made to the original output value of the light receiving element 17-i of the CMOS linear image sensor 17 to achieve linearity. That is, the conversion based on the correction parameter is applied to the original output value of each light receiving element 17-i, and is used as a measurement value. The measured value thus obtained has the so-called linearity, when the light intensity increases by α times, it also increases by α times.

圖3和圖4顯示出計算線性校正參數的方法的流程圖。在此,由CMOS線性圖像傳感器17進行的測量值的校正包含有下列3項校正:1)在短波長區域中防止測量值變得小於零的第一校正;2)在光強度大的區域中實現線性的第二校正;3)在光強度小的區域中實現線性的第三校正的三個校正。為了對每個光接收元件17-i的原始輸出值依序應用這三個校正。圖3和圖4所示的處理由諸如計算部18的電腦執行。Figures 3 and 4 show the flow chart of the method of calculating the linear correction parameters. Here, the correction of the measurement value performed by the CMOS linear image sensor 17 includes the following three corrections: 1) the first correction to prevent the measurement value from becoming less than zero in the short wavelength region; 2) in the region with high light intensity Realize the linear second correction in the middle; 3) Realize the three linear third corrections in the area with low light intensity. In order to sequentially apply these three corrections to the original output value of each light receiving element 17-i. The processing shown in FIGS. 3 and 4 is executed by a computer such as the calculation unit 18.

為了取得用於第一校正、第二校正和第三校正的校正參數,首先,在光學測量裝置10中,CMOS線性圖像傳感器17的每個光接收元件17處於沒有光從狹縫12入射到裝置中的狀態下,獲得CMOS線性圖像傳感器17的每個光接收元件17-i的原始輸出值Ai0(S101)。In order to obtain the correction parameters for the first correction, the second correction, and the third correction, first, in the optical measuring device 10, each light receiving element 17 of the CMOS linear image sensor 17 is in a position where no light enters from the slit 12 In the state in the device, the original output value Ai0 of each light receiving element 17-i of the CMOS linear image sensor 17 is obtained (S101).

接下來,諸如來自鹵素燈的白光之類的具有恆定光強度的參考光從狹縫12入射到裝置的內部,並且在將曝光時間t從0增加到tmax的同時,獲得CMOS線性圖像傳感器17的每個光接收元件17-i的原始輸出值Ai(S102)。當曝光時間t從ts改變為ts至tmax時,每個波長通道i的輸出值Ai包含tmax/ts值(此處tmax=10000)。Next, a reference light having a constant light intensity such as white light from a halogen lamp is incident from the slit 12 into the inside of the device, and while increasing the exposure time t from 0 to tmax, a CMOS linear image sensor 17 is obtained. The original output value Ai of each light receiving element 17-i (S102). When the exposure time t changes from ts to ts to tmax, the output value Ai of each wavelength channel i contains the value of tmax/ts (here tmax=10000).

接下來,計算測量值Si,該測量值Si係從輸出值Ai中減去輸出值Ai0而獲得的值(S103)。當曝光時間t從ts改變為ts至tmax時,每個波長通道i的測量值Si包含有tmax/ts值。Next, a measurement value Si is calculated, which is a value obtained by subtracting the output value Ai0 from the output value Ai (S103). When the exposure time t changes from ts to ts to tmax, the measured value Si of each wavelength channel i includes the tmax/ts value.

圖5為顯示出測量值Si的頻譜圖。水平軸對應於波長通道i,垂直軸對應於測量值Si。於此,顯示出了對應於曝光時間t=100、3000、6000和10000的四個光譜。如圖所示,測量值Si在波長通道i = 200附近從接近零增加,在波長通道i = 600附近減小到接近零。圖6為顯示出圖5中的波長通道i=0~150的部分的放大圖。如圖6所示,在波長通道i較小(亦即,短波長)的區域中,測量值Si可以小於零。因此,在此,對於每個曝光時間t,針對預定數量的波長通道i(此處i = 0至9)計算測量值Si的平均值,其中最初將測量值Si視為零,並將該值設置為b(S104)。亦即,當曝光時間t從ts改變為ts至tmax,則校正參數b(基本校正值)包含tmax/t值。藉由針對曝光時間t和波長通道i的每種組合從測量值Si減去校正參數b來獲得第一校正後測量值Si'(S105)。此外,如稍後描述,於此,為了獲得第一校正後測量值Si'的統計變化,在相同條件下將S102至S105的處理重複複數次(例如,100次)。Fig. 5 is a spectrogram showing the measured value Si. The horizontal axis corresponds to the wavelength channel i, and the vertical axis corresponds to the measured value Si. Here, four spectra corresponding to the exposure time t=100, 3000, 6000, and 10000 are displayed. As shown in the figure, the measured value Si increases from close to zero near the wavelength channel i=200, and decreases to close to zero near the wavelength channel i=600. Fig. 6 is an enlarged view showing the part of the wavelength channel i=0 to 150 in Fig. 5. As shown in FIG. 6, in a region where the wavelength channel i is small (ie, short wavelength), the measured value Si may be less than zero. Therefore, here, for each exposure time t, the average value of the measured value Si is calculated for a predetermined number of wavelength channels i (here i = 0 to 9), where the measured value Si is initially regarded as zero, and the value Set to b (S104). That is, when the exposure time t changes from ts to ts to tmax, the correction parameter b (basic correction value) includes the tmax/t value. The first corrected measurement value Si′ is obtained by subtracting the correction parameter b from the measurement value Si for each combination of the exposure time t and the wavelength channel i (S105). In addition, as described later, here, in order to obtain the statistical change of the first corrected measurement value Si′, the processing of S102 to S105 is repeated multiple times (for example, 100 times) under the same conditions.

其次,將測量值Si'轉換為實際的線性誤差ei'。圖7為顯示出與理想直線Li相比,第一校正後測量值Si'相對於曝光時間t的增加的變化的圖。在該圖中,顯示出了具有指示曝光時間t的水平軸和指示第一校正後測量值Si'的垂直軸的平面。理想直線Li係依直線,該直線由最大曝光時間t =tmax和當時的第一校正後測量值Si'的值(該值稱為Si' max)所構成的點(tmax,Si'max)及原點(0,0)連結而成(S106)。實際線性誤差ei',如以下數學式(1)所示,顯示理想直線Li與第一校正後測量值Si'之間的差與第一校正後測量值Si'的比率。Secondly, the measured value Si' is converted into the actual linear error ei'. FIG. 7 is a graph showing the change of the measured value Si′ after the first correction with respect to the increase in the exposure time t compared with the ideal straight line Li. In this figure, a plane with a horizontal axis indicating the exposure time t and a vertical axis indicating the first corrected measurement value Si′ is shown. The ideal straight line Li is based on a straight line. The straight line consists of the point (tmax, Si'max) formed by the maximum exposure time t = tmax and the value of the first corrected measurement value Si' at that time (this value is called Si' max) and The origin (0,0) is connected (S106). The actual linear error ei', as shown in the following mathematical formula (1), shows the ratio of the difference between the ideal straight line Li and the first corrected measurement value Si' to the first corrected measurement value Si'.

[數學式1]

Figure 02_image001
[Math 1]
Figure 02_image001

圖8為顯示出第一校正輸出值Si'與實際線性誤差ei'之間的關係圖。在此,以i =456的情況為例。如圖所示,隨著第一校正後輸出值Si'變大,實際線性誤差ei'變小。此外,在第一校正後測量值Si'小的區域中,實際線性誤差ei'上下波動很大,而在第一校正後測量值Si'大的區域中,實際線性誤差ei' 波動很小。因此,在第二校正中,主要在第一校正後測量值Si'大的區域,亦即曝光時間t的值落在大的區域中,改善了CMOS線性圖像傳感器17的測量值的線性。FIG. 8 is a graph showing the relationship between the first corrected output value Si' and the actual linearity error ei'. Here, take the case of i=456 as an example. As shown in the figure, as the output value Si' becomes larger after the first correction, the actual linear error ei' becomes smaller. In addition, in the area where the measured value Si′ after the first correction is small, the actual linear error ei′ fluctuates greatly, and in the area where the measured value Si′ after the first correction is large, the actual linear error ei′ fluctuates very little. Therefore, in the second calibration, the area where the measured value Si′ is large after the first calibration, that is, the value of the exposure time t falls in the large area, improves the linearity of the measured value of the CMOS linear image sensor 17.

因此,首先,利用以下數學式(2)來計算實際線性誤差ei'的誤差Δei'(S108)。數學式(2)係從眾所周知的誤差傳播定律(law of propagtion of error)得出的。對於曝光時間t和第一校正後測量值Si'的每種組合計算出誤差Δei'。在數學式(2)中,ΔSi'和ΔSi'max為表示第一校正後測量值Si'和Si'max的樣品標準偏差。如圖8所示,當曝光時間t和第一校正後測量值Si'的值較小時,誤差Δei'增大,而當值較大時,誤差Δei'減小。誤差Δei'係指示測量值Si'的變化的變化量的示例,並且該變化量可透過另一計算公式來獲得。Therefore, first, the error Δei' of the actual linearity error ei' is calculated using the following mathematical formula (2) (S108). Mathematical formula (2) is derived from the well-known law of propagtion of error. The error Δei' is calculated for each combination of the exposure time t and the first corrected measurement value Si'. In the mathematical formula (2), ΔSi' and ΔSi'max represent the sample standard deviations of the measured values Si' and Si'max after the first calibration. As shown in FIG. 8, when the value of the exposure time t and the first corrected measurement value Si′ is small, the error Δei′ increases, and when the value is large, the error Δei′ decreases. The error Δei' is an example of the amount of change indicating the change of the measured value Si', and the amount of change can be obtained through another calculation formula.

[數學式2]

Figure 02_image003
[Math 2]
Figure 02_image003

接下來,每個波長通道i提供有用以顯示線性誤差的二次函數f(Si')=C2×Si'2+C1×Si'+C0,並且在每個波長通道i中,將f(Si')擬合為實際線性誤差ei'(S109)。最小二乘法用於擬合。結果,確定係數C0、C1和C2。於此,採用二次函數作為本發明的第一函數的示例,但是不用說其可以為另一函數。Next, each wavelength channel i provides a quadratic function f(Si')=C2×Si'2+C1×Si'+C0, which is useful to show the linear error, and in each wavelength channel i, f(Si' ') Fit to the actual linear error ei' (S109). The least square method is used for fitting. As a result, the coefficients C0, C1, and C2 are determined. Here, a quadratic function is adopted as an example of the first function of the present invention, but it goes without saying that it may be another function.

又,S109中的擬合可以僅針對在曝光時間t=tmax處的輸出值Ai為預定閾值以上的波長通道i執行。 於此種情況下,將僅針對此種波長通道i確定係數C0、C1和C2。In addition, the fitting in S109 may be performed only for the wavelength channel i whose output value Ai at the exposure time t=tmax is above the predetermined threshold. In this case, the coefficients C0, C1, and C2 will be determined only for this wavelength channel i.

圖9為顯示出二次函數f(Si')與實際線性誤差ei'的擬合的圖。同樣,以i=456的情況為例。橫軸表示測量值Si',縱軸表示實際線性誤差ei'。圖中的黑點表示由測量值Si'和實際線性誤差ei'組成的測量點(Si',ei')。往右下傾斜的曲線顯示了擬合此等測量點的二次函數f的形狀。此外,貫穿每個黑點的垂直線段指示誤差Δei'。如圖所示,在測量值Si'小的區域(亦即,曝光時間t較短的區域)中,誤差Δei'相對較大。然後,在如上所述的誤差Δei'大的區域中,二次函數f擬合到測量點的程度降低,反之,在誤差Δei'小的區域中,增加二次函數f擬合到測量點的程度。因此,最小二乘法中的目標函數為二次函數f(Si')與實際線性誤差ei'之間的差的加權總計,並且將誤差Δei'的倒數用作該權重。結果,在曝光時間t和第一校正後測量值Si'的值較大的區域中,二次函數f(Si')由實際線性誤差ei'擬合。Fig. 9 is a graph showing the fit of the quadratic function f(Si') and the actual linear error ei'. Similarly, take the case of i=456 as an example. The horizontal axis represents the measured value Si', and the vertical axis represents the actual linear error ei'. The black dot in the figure represents the measurement point (Si', ei') composed of the measured value Si' and the actual linear error ei'. The curve sloping to the lower right shows the shape of the quadratic function f that fits these measurement points. In addition, the vertical line segment running through each black dot indicates the error Δei'. As shown in the figure, in an area where the measured value Si′ is small (that is, an area where the exposure time t is short), the error Δei′ is relatively large. Then, in the area where the error Δei' is large as described above, the degree of fitting of the quadratic function f to the measurement point is reduced. On the contrary, in the area where the error Δei' is small, the fitting of the quadratic function f to the measurement point is increased. degree. Therefore, the objective function in the least square method is the weighted total of the difference between the quadratic function f(Si′) and the actual linear error ei′, and the reciprocal of the error Δei′ is used as the weight. As a result, in a region where the value of the exposure time t and the measured value Si′ after the first correction is large, the quadratic function f(Si′) is fitted by the actual linear error ei′.

接下來,使用在S109中確定的係數C0、C1和C2,利用以下數學式(3)計算出第二校正後測量值Si''(S110)。Next, using the coefficients C0, C1, and C2 determined in S109, the second corrected measurement value Si" is calculated using the following mathematical formula (3) (S110).

[數學式3]

Figure 02_image005
[Math 3]
Figure 02_image005

此外,在S109中,針對每個波長通道i確定係數C0、C1和C2。因此,在計算第二校正後測量值Si''時,使用針對相同波長通道i確定的係數C0、C1和C2。In addition, in S109, the coefficients C0, C1, and C2 are determined for each wavelength channel i. Therefore, when calculating the second corrected measurement value Si″, the coefficients C0, C1, and C2 determined for the same wavelength channel i are used.

為簡單說明,計算C0、C1和C2的平均值(代表值),並在數學式(3)中,此等代表值(亦即,一個二次函數代表為每個波長通道所具有的複數個二次函數)可以在所有波長通道i中共同使用。特別地,當僅對在曝光時間t=tmax處的第一校正後測量值Si'為預定閾值以上的波長通道執行S109的擬合時,對於尚未進行S109擬合的波長通道,則可以使用C0、C1和C2的平均值適當地計算出第二校正後測量值Si''。For the sake of simplicity, calculate the average value (representative value) of C0, C1, and C2, and in the mathematical formula (3), these representative values (that is, a quadratic function represents a plurality of Quadratic function) can be used in common in all wavelength channels i. In particular, when the fitting of S109 is performed only on the wavelength channels whose first corrected measured value Si' at the exposure time t=tmax is above the predetermined threshold, for the wavelength channels for which the fitting of S109 has not been performed, C0 can be used. The average value of, C1 and C2 appropriately calculates the second corrected measured value Si''.

接下來,對於每個波長通道i,將第二校正後的測量值Si''轉換為實際線性誤差ei''(S111)。實際的線性誤差ei''也可以透過與上述數學式(1)相同的方程式來計算。Next, for each wavelength channel i, the second corrected measurement value Si" is converted into an actual linear error ei" (S111). The actual linear error ei'' can also be calculated through the same equation as the above mathematical equation (1).

圖10顯示出使用函數f的第二校正後測量值Si''與實際線性誤差ei''之間的關係圖。同樣,以i=456的情況為例。如圖所示,實際線性誤差ei''在測量值Si''為0.2以上的區域內為足夠小的值,並且在該區域中可以充分地實現線性。然而,在測量值Si''小於0.2的區域,亦即在曝光時間短的區域中,線性度不足。因此,在本實施例中,執行曝光時間校正作為第三校正。曝光時間校正係根據短的曝光時間在短的曝光時間的區域中來增加測量值Si''的校正。具體而言,第三校正後測量值Si'''由以下數學式(4)定義。亦即,透過將第二校正後測量值Si''乘以作為本發明的第二函數的示例的分數函數t/(dt)來獲得第三校正後測量值Si'''。在此,d為校正後的曝光時間。d越大校正量就越大。然而,在曝光時間t大的區域中,校正量將變小,並且第二校正後測量值Si''和第三校正後測量值Si'''之間的差變小。此外,第二函數不限於上述分數函數,隨著曝光時間t的增加而接近預定值(在此為1)且為隨著曝光時間的接近0而增加的函數,只要利用可變參數改變形狀,就可以採用任何功能。FIG. 10 shows the relationship between the measured value Si" after the second correction using the function f and the actual linear error ei". Similarly, take the case of i=456 as an example. As shown in the figure, the actual linearity error ei" is a sufficiently small value in the region where the measured value Si" is 0.2 or more, and linearity can be sufficiently achieved in this region. However, in the area where the measured value Si" is less than 0.2, that is, in the area where the exposure time is short, the linearity is insufficient. Therefore, in this embodiment, the exposure time correction is performed as the third correction. The exposure time correction is a correction that increases the measured value Si″ in the area of the short exposure time based on the short exposure time. Specifically, the third corrected measurement value Si′″ is defined by the following mathematical formula (4). That is, the third corrected measurement value Si″′ is obtained by multiplying the second corrected measurement value Si″ by the fractional function t/(dt) as an example of the second function of the present invention. Here, d is the corrected exposure time. The larger the d, the larger the correction amount. However, in an area where the exposure time t is large, the correction amount will become smaller, and the difference between the second corrected measured value Si" and the third corrected measured value Si"' will become smaller. In addition, the second function is not limited to the above-mentioned score function. It approaches a predetermined value (here, 1) as the exposure time t increases, and is a function that increases as the exposure time approaches 0. As long as the shape is changed by a variable parameter, Any function can be used.

[數學式4]

Figure 02_image007
[Math 4]
Figure 02_image007

接下來,如以下數學式(5)所示,假定第三校正後測量值Si'''與曝光時間t成比例。Next, as shown in the following mathematical formula (5), it is assumed that the third corrected measured value Si″′ is proportional to the exposure time t.

[數學式5]

Figure 02_image009
[Math 5]
Figure 02_image009

利用數學式(4)和(5),與第二校正後測量值Si''對應的實際線性誤差ei''如以下數學式(6)所示,其表示為具有校正參數d的曝光時間t的函數g(t)。Using mathematical formulas (4) and (5), the actual linear error ei" corresponding to the second corrected measurement value Si" is shown in the following mathematical formula (6), which is expressed as the exposure time t with the correction parameter d The function g(t).

[數學式6]

Figure 02_image011
[Math 6]
Figure 02_image011

接下來,使用S111的結果,將函數g(t)擬合到測量點(t,ei'')(S112)。結果,確定校正參數d。圖11為顯示出該擬合的圖。同樣,以i = 456的情況為例。Next, using the result of S111, fit the function g(t) to the measurement point (t, ei") (S112). As a result, the correction parameter d is determined. Figure 11 is a graph showing this fit. Similarly, take the case of i = 456 as an example.

然後,使用所確定的參數d,利用數學式(4)將第二校正後測量值Si''轉換為第三校正後測量值Si'''(S113)。另外,在S112中針對每個波長通道i確定校正參數d。因此,對於每個波長通道i,可以使用與該波長通道i相對應的校正參數d且以數學式(4)來計算第三校正後測量值Si'''。或者,可以計算校正參數d的平均值,並且可以將該平均值共用於所有波長通道i,以數學式(4)計算第三校正後測量值Si'''。Then, using the determined parameter d, the second corrected measurement value Si″ is converted into the third corrected measurement value Si″′ using mathematical formula (4) (S113 ). In addition, a correction parameter d is determined for each wavelength channel i in S112. Therefore, for each wavelength channel i, the correction parameter d corresponding to the wavelength channel i can be used and the third corrected measurement value Si"' can be calculated by the mathematical formula (4). Alternatively, the average value of the correction parameter d can be calculated, and the average value can be used in all wavelength channels i, and the third corrected measurement value Si"' can be calculated by the mathematical formula (4).

圖12為顯示出第三校正後測量值Si'''與根據第三校正後測量值Si'''計算出的實際線性誤差ei'''之間的關係圖。同樣,以i=456的情況為例。如圖所示,藉由第一至第三校正,使線性誤差ei'''在Si'''的整個區域內處於足夠小的值內,故可以知道在所有區域都實現了充分的線性。FIG. 12 is a diagram showing the relationship between the third corrected measured value Si'" and the actual linear error ei"' calculated from the third corrected measured value Si"'. Similarly, take the case of i=456 as an example. As shown in the figure, through the first to third corrections, the linearity error ei"' is within a sufficiently small value in the entire area of Si"', so it can be known that sufficient linearity is achieved in all areas.

最後,將在S101中獲得的每個波長通道Ai0和在S109中獲得的校正參數C0、C1和C2以及在S112中獲得的校正參數d存儲在記憶體等中(S114)。此等校正參數用於樣品的光學測量。Finally, each wavelength channel Ai0 obtained in S101, the correction parameters C0, C1, and C2 obtained in S109, and the correction parameter d obtained in S112 are stored in a memory or the like (S114). These correction parameters are used for optical measurement of samples.

圖13係用於使用如上所述保存的校正參數來執行光學測量的流程圖。首先,從諸如光源11之類的樣品發射的光照射到狹縫12,並且以計算部18獲得CMOS線性圖像傳感器17的輸出值Ai(i=0~1023)(S201)。可以設置此時測量光對CMOS線性圖像傳感器17的曝光時間ta,並且ta可以為上述tmax以下的值,並且可以設置為足夠大的值。FIG. 13 is a flowchart for performing optical measurement using the correction parameters saved as described above. First, light emitted from a sample such as the light source 11 is irradiated to the slit 12, and the output value Ai (i=0 to 1023) of the CMOS linear image sensor 17 is obtained by the calculation section 18 (S201). The exposure time ta of the measurement light to the CMOS linear image sensor 17 at this time can be set, and ta can be a value below tmax, and can be set to a sufficiently large value.

接下來,計算部18藉由從在S201中獲得的Ai減去校正參數Ai0來獲得測量值Si(i=0~1023)(S202)。此外,針對波長通道i = 0~9計算出測量值Si的平均值,並將其設置為b(S203)。然後,利用從測量值Si減去校正參數b,獲得第一校正後測量值Si'(S204)。Next, the calculation section 18 obtains the measurement value Si (i=0 to 1023) by subtracting the correction parameter Ai0 from the Ai obtained in S201 (S202). In addition, the average value of the measured value Si is calculated for the wavelength channel i = 0~9, and it is set as b (S203). Then, by subtracting the correction parameter b from the measurement value Si, the first corrected measurement value Si′ is obtained (S204).

計算部18還將上述數學式(3)應用於第一校正後測量值Si',並獲得第二校正後測量值Si''(i=0~1023)(S205)。此時,作為校正參數C0、C1和C2,使用與相同波長通道i相對應的校正參數,只要針對每個波長通道i存儲它們即可。如果所有波長通道存儲有公用值(平均值),則就使用該值。The calculation part 18 also applies the above-mentioned mathematical formula (3) to the first corrected measured value Si′, and obtains the second corrected measured value Si″ (i=0-1023) (S205). At this time, as the correction parameters C0, C1, and C2, the correction parameters corresponding to the same wavelength channel i are used, as long as they are stored for each wavelength channel i. If a common value (average value) is stored for all wavelength channels, this value is used.

計算部18使用曝光時間ta和校正參數d,且藉由上述數學式(4)從第二校正後測量值Si''計算出第三校正測後量值Si'''(S206)。於此,作為校正參數d,如果針對每個波長通道i保存該校正參數,則就使用與相同波長通道i相對應的校正參數。如果為所有波長通道存儲有公用值(平均值),則就使用該值。The calculation unit 18 uses the exposure time ta and the correction parameter d, and calculates the third corrected measurement value Si″′ from the second corrected measurement value Si″ according to the above-mentioned mathematical formula (4) (S206). Here, as the correction parameter d, if the correction parameter is saved for each wavelength channel i, the correction parameter corresponding to the same wavelength channel i is used. If a common value (average value) is stored for all wavelength channels, that value is used.

之後,計算部18顯示在S205中計算出的第三校正後測量值Si'''(S207), 另外,利用印刷或通信等來輸出(S207)。當樣品為薄膜時,計算部18可以使用在S206中計算出的第二校正後測量值Si''來計算膜厚。可以使用習知的演算法來計算膜厚。After that, the calculation unit 18 displays the third corrected measurement value Si″' calculated in S205 (S207), and also outputs it by printing, communication, or the like (S207). When the sample is a thin film, the calculation unit 18 may use the second corrected measurement value Si″ calculated in S206 to calculate the film thickness. A conventional algorithm can be used to calculate the film thickness.

根據上述之光學測量裝置10的線性校正方法,利用對CMOS線性圖像傳感器17的輸出值Si進行第一至第三校正,就可以得到具有足夠的線性度的測量值Si'''並獲得高精密度的光譜。此外,使用該光譜,可以高精密度地計算出樣品等的膜厚。According to the linear correction method of the optical measuring device 10 described above, the first to third corrections are performed on the output value Si of the CMOS linear image sensor 17 to obtain a measurement value Si'' with sufficient linearity and obtain high Precision of the spectrum. In addition, using this spectrum, the film thickness of the sample or the like can be calculated with high precision.

本發明不限於上述實施例,並且可以進行各種修正,當然,此種修正也包含在本發明的範圍內。The present invention is not limited to the above-mentioned embodiments, and various modifications can be made. Of course, such modifications are also included in the scope of the present invention.

Figure 02_image001
Figure 02_image001

10:光學測量裝置 11:光源(樣品) 12:縫隙 13:截止式濾光片 14:準直鏡 15:繞射光柵 16:聚焦鏡 17:CMOS線性圖像傳感器 17-i(i = 0~1023):受光元件 18:計算部10: Optical measuring device 11: Light source (sample) 12: gap 13: Cut-off filter 14: Collimating lens 15: Diffraction grating 16: Focusing lens 17: CMOS linear image sensor 17-i (i = 0~1023): light receiving element 18: Computing Department

圖1顯示根據本發明之一實施例的光學測量裝置的整體結構圖。 圖2顯示CMOS線性圖像傳感器的示意圖。 圖3顯示出計算校正參數的方法的流程圖。 圖4顯示出計算校正參數的方法的流程圖。 圖5顯示出測量值Si的頻譜圖。 圖6顯示圖5的局部放大圖。 圖7顯示出與理想直線Li相比,第一校正後測量值Si'相對於曝光時間t的增加的變化圖。 圖8顯示出第一校正後測量值Si'與實際線性誤差ei'之間的關係圖。 圖9顯示出函數f(Si')對實際線性誤差ei'的擬合圖。 圖10顯示出使用函數f的第二校正後測量值Si''與實際線性誤差ei''之間的關係圖。 圖11顯示出相對於曝光時間t的增加之實際線性誤差ei''的變化圖。 圖12顯示出第三校正後測量值Si'''與實際線性誤差ei''''之間的關係圖。 圖13顯示出使用校正參數的光學測量方法的流程圖。Fig. 1 shows an overall structure diagram of an optical measuring device according to an embodiment of the present invention. Figure 2 shows a schematic diagram of a CMOS linear image sensor. Figure 3 shows a flow chart of the method of calculating the correction parameters. Figure 4 shows a flow chart of the method of calculating the correction parameters. Figure 5 shows the spectrum of the measured value Si. Fig. 6 shows a partial enlarged view of Fig. 5. FIG. 7 shows the change graph of the increase in the measured value Si′ with respect to the exposure time t after the first correction compared with the ideal straight line Li. Figure 8 shows the relationship between the measured value Si' and the actual linear error ei' after the first correction. Figure 9 shows the fitting graph of the function f(Si') to the actual linear error ei'. FIG. 10 shows the relationship between the measured value Si" after the second correction using the function f and the actual linear error ei". Fig. 11 shows the variation of the actual linear error ei″ with respect to the increase in the exposure time t. Figure 12 shows the relationship between the measured value Si''' after the third correction and the actual linear error ei''''. Figure 13 shows a flowchart of an optical measurement method using correction parameters.

Claims (12)

一種線性校正方法,具備CMOS線性圖像傳感器且用於光學測量裝置,其特徵包含以下步驟: 曝光步驟,改變曝光時間,恆定強度的基準光依序入射在該CMOS線性圖像傳感器的關注受光元件上; 測量值獲得步驟,依序獲得該關注受光元件的測量值; 實際線性誤差計算步驟,依序計算出指示基於與該測量值對應的該曝光時間所獲得的線性值和該測量值之差的實際線性誤差;及 擬合(fitting)步驟,對於每個該實際線性誤差,執行指示第一線性誤差的第一函數的擬合。A linear correction method, equipped with a CMOS linear image sensor and used in an optical measuring device, is characterized by the following steps: In the exposure step, the exposure time is changed, and the reference light of constant intensity is sequentially incident on the focused light-receiving element of the CMOS linear image sensor; The measurement value obtaining step is to sequentially obtain the measurement value of the concerned light-receiving element; The actual linear error calculation step sequentially calculates the actual linear error indicating the difference between the linear value obtained based on the exposure time corresponding to the measured value and the measured value; and In a fitting step, for each of the actual linear errors, fitting of a first function indicating the first linear error is performed. 如請求項1之線性校正方法,其中該第一函數為二次函數之CMOS線性圖像傳感器的線性的校正方法。Such as the linear correction method of claim 1, wherein the first function is a linear correction method of a CMOS linear image sensor with a quadratic function. 如請求項1或2之線性校正方法,其中該擬合步驟係使用指示每個該實際線性誤差和該第一線性誤差之間的差的總量的目標函數的最小二乘法來確定該第一函數的可變參數, 該目標函數包含指示該第一線性誤差和與每個該測量值對應的該實際線性誤差之間的差的項,並且此等項被指示每個該測量值的偏差的偏差量加權。For example, the linear correction method of claim 1 or 2, wherein the fitting step uses the least square method of the objective function indicating the total amount of the difference between the actual linear error and the first linear error to determine the first linear error A variable parameter of a function, The objective function includes terms indicating the difference between the first linear error and the actual linear error corresponding to each of the measured values, and these terms are weighted by the amount of deviation indicating the deviation of each of the measured values. 如請求項3之線性校正方法,其中進一步包含對利用該第一函數所校正的該測量值執行曝光時間校正的曝光時間校正步驟。Such as the linear correction method of claim 3, which further includes an exposure time correction step of performing exposure time correction on the measured value corrected by the first function. 如請求項4之線性校正方法,其中該曝光時間校正步驟係將隨著曝光時間變長而接近預定值的第二函數應用於利用該第一函數所校正的該測量值來執行該曝光時間校正。Such as the linear correction method of claim 4, wherein the exposure time correction step is to apply a second function close to a predetermined value as the exposure time becomes longer to the measurement value corrected by the first function to perform the exposure time correction . 如請求項5之線性校正方法,其中該第二個函數為分數函數。For example, the linear correction method of claim 5, wherein the second function is a fractional function. 如請求項第1至6之任一項之線性校正方法,其中該測量值係基於當該基準光入射時的該關注受光元件的第一輸出值與當該基準光不入射時的該關注受光元件的第二輸出值之間的差而取得。The linear correction method of any one of claims 1 to 6, wherein the measurement value is based on the first output value of the light receiving element of interest when the reference light is incident and the light receiving of interest when the reference light is not incident The difference between the second output value of the element is obtained. 如請求項7之線性校正方法,其特徵在於CMOS線性圖像傳感器的線性校正方法,其中該擬合步驟係利用基於預定閾值以上的該第一輸出值所獲得的該測量值來執行該擬合。For example, the linear correction method of claim 7, characterized in that the linear correction method of a CMOS linear image sensor, wherein the fitting step uses the measurement value obtained based on the first output value above a predetermined threshold to perform the fitting . 如請求項1至8之任一項之線性校正方法,其中該CMOS線性圖像傳感器包含非關注受光元件,該關注受光元件在該基準光入射到該關注受光元件上的時間內沒有光入射; 該線性校正方法,還包含基本校正值計算步驟,該基本校正值計算步驟係計算在該基準光入射到該關注受光元件上時使該非關注受光元件的測量值接近於零的基本校正值; 該測量值獲得步驟係依序獲得由該基本校正值所校正的該測量值。The linear calibration method of any one of claims 1 to 8, wherein the CMOS linear image sensor includes a non-focused light-receiving element, and the focused light-receiving element has no light incident during the time when the reference light is incident on the focused light-receiving element; The linear correction method further includes a basic correction value calculation step that calculates a basic correction value that makes the measured value of the non-attention light receiving element close to zero when the reference light is incident on the attention light receiving element; The measurement value obtaining step is to sequentially obtain the measurement value corrected by the basic correction value. 一種光學測量方法,係使用請求項1至9之任一項之線性校正方法, 當測量光入射到該關注受光元件上時,基於該第一函數校正該關注受光元件的測量值。An optical measurement method using any one of claims 1 to 9 of the linear correction method, When the measurement light is incident on the light-receiving element of interest, the measurement value of the light-receiving element of interest is corrected based on the first function. 如請求項10之光學測量方法,其中: 有複數個該關注受光元件, 當測量光入射在每個該關注受光元件上時,基於代表針對複數個該關注受光元件中的每個可獲得的該第一函數的一個函數來校正該關注受光元件的測量值。Such as the optical measurement method of claim 10, where: There are multiple light-receiving elements of interest, When the measurement light is incident on each light-receiving element of interest, the measurement value of the light-receiving element of interest is corrected based on a function representing the first function obtainable for each of the light-receiving elements of interest. 一種光學測量裝置,其特徵包含: 記憶裝置,記憶與藉由請求項1至9之任一項的線性校正方法所獲得的該第一函數相對應的校正參數;及 校正裝置,當測量光入射到該關注受光元件上時,使用該校正參數來校正該關注受光元件的測量值。An optical measuring device, which features: A memory device, which memorizes the calibration parameters corresponding to the first function obtained by the linear calibration method of any one of claim items 1 to 9; and The correction device uses the correction parameter to correct the measured value of the light-receiving element of interest when the measurement light is incident on the light-receiving element of interest.
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