TWI407078B - Micro - lens array surface profile detection system and its detection method - Google Patents
Micro - lens array surface profile detection system and its detection method Download PDFInfo
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本發明係涉及一種檢測系統及檢測方法,特別是指一種微透鏡陣列表面輪廓之檢測系統及方法之創新設計。The invention relates to a detection system and a detection method, in particular to an innovative design of a detection system and method for the surface profile of a microlens array.
按,傳統利用非接觸式量測微透鏡陣列的表面輪廓檢測方式,概分為干涉與非干涉兩種。若以干涉的方式量測,可使用光學式輪廓儀法、電腦全像干涉法、剪切式干涉法等;而非干涉量測方式,則包括傳科刀口法、線量測法、及Ronchi法。According to the traditional method of detecting the surface contour of the non-contact measuring microlens array, it is divided into interference and non-interference. If it is measured by interference, optical profiler method, computer holographic interferometry, shearing interferometry, etc.; non-interference measurement method, including transmission knife method, line measurement method, and Ronchi law.
承上,與本案較為相關之習知技術,係為所述光學式輪廓儀法,該檢測方法是利用白光干涉理論為基礎,以直接干涉記錄其輪廓表面,組成機構包含顯微取像系統、相移系統、干涉儀系統所組成,而其量測原理係以干涉儀量測待測件波前與參考波前間的相位差,而待測件波前由待測表面輪廓高低起伏的反射所構成,參考波前則由參考板之參考面反射產生;因其之間的相位差會產生干涉條紋,其條紋能夠反映出表面高低的落差值,再由CCD取像後分析其表面輪廓。其輪廓儀的光路採用相移技術(phase-shifting technique)來求得相位差,並用相位重建技術,重建出三維的表面輪廓結構。此儀器多應用在MEMS結構、非球面微陣列結構、薄膜厚度量測…等。The conventional technique related to the present case is the optical profiler method, which is based on the white light interference theory, and directly records the contour surface thereof by a direct interference, and the composition mechanism includes a microscopic image capturing system. The phase shifting system and the interferometer system are composed, and the measuring principle is to measure the phase difference between the wavefront of the device to be tested and the reference wavefront by the interferometer, and the wavefront of the device to be tested is reflected by the contour of the surface to be tested. The reference wavefront is generated by the reference surface reflection of the reference plate; the interference fringes are generated due to the phase difference between the reference wavefronts, and the stripe can reflect the difference between the surface height and the surface contour of the CCD. The profiler's optical path uses a phase-shifting technique to determine the phase difference and phase reconstruction techniques to reconstruct a three-dimensional surface contour. This instrument is widely used in MEMS structures, aspherical microarray structures, film thickness measurement, etc.
然而,上述光學式輪廓儀法縱使能夠搜尋到全部透鏡的干涉條紋,但干涉條紋最內及最外的圓環,該習知方法仍無法判斷其相位角,蓋因,這兩部分相位角不一定是0度變化到180度的狀態,除此之外,剩下的圓環相位角都是從0度變化到180度的狀態,因此其由明到暗的變化是一個完整180度的變化,所以,導致習知微透鏡陣列表面輪廓檢測系統仍有較大判斷誤差現象存在之缺憾與不足,實有待再加以改善進化。However, the above optical profilometry method can search for the interference fringes of all the lenses, but interferes with the innermost and outermost circular rings of the stripe. The conventional method still cannot judge the phase angle, and the cover phase does not have the phase angle of the two parts. It must be a state in which the 0 degree changes to 180 degrees. In addition, the remaining ring phase angles are changed from 0 degrees to 180 degrees, so the change from light to dark is a complete 180 degree change. Therefore, the conventional microlens array surface contour detection system still has the defects and shortcomings of the large judgment error phenomenon, and it is necessary to further improve the evolution.
是以,針對上述習知微透鏡陣列表面輪廓檢測系統與方法所存在之問題點,如何研發出一種能夠更具理想實用性之創新設計,實有待相關業界及有心人士再加以思索突破之目標及方向。Therefore, in view of the problems existing in the above-mentioned conventional microlens array surface contour detection system and method, how to develop an innovative design that can be more ideal and practical, and the relevant industry and interested people should further consider the breakthrough goal and direction.
有鑑於此,發明人本於多年從事相關產品之製造開發與設計經驗,針對上述之目標,詳加設計與審慎評估後,終得一確具實用性之本發明。In view of this, the inventor has been engaged in the manufacturing development and design experience of related products for many years. After detailed design and careful evaluation, the inventor has finally obtained the practical invention.
本發明之主要目的,係在提供一種微透鏡陣列表面輪廓檢測系統及其檢測方法,其所欲解決之問題點,係針對如何研發出一種更具理想實用性之微透鏡陣列檢測系統及其檢測方法為目標加以思索突破;本發明解決問題之技術特點,就系統面而言,係包含可微調式置放定位部、光學取像模組、光學干涉模組、中央控制部以及影像處理運算模組所構成;其中該影像處理運算模組設於中央控制部,以對影像資料進行去除雜訊雜點、尋找影像特徵點、產生具有中心圓環及複數內、外圓環之干涉條紋及輪廓分析、製表等影像處理作業;本發明之核心設計主要在於該影像處理運算模組是透過圖形分割與面積識別的方法找出每個圓環的中心位置,而微透鏡陣列影像基底之判斷是根據圖形分割與面積識別的方法而自動找出整個微透鏡陣列干涉影像的背景,復根據實際中心圓環面積與理想中心圓環面積之比例來判斷所述干涉條紋中心圓環相位角變化量,並根據實際第1區段之圓環條紋的亮度值變化量與理想第1區段之圓環條紋的亮度值變化量之比例,來判斷所述干涉條紋最外側基底處之圓環條紋相位角變化量,面積比例法及亮度比例法均可自由切換,選擇精確度較高之方法使用,接著找出每一區段亮度曲線之極大與極小值,分別對應到區段相位角從0度至180度時之亮度變化,再求出區段中點素之間所對應的微透鏡表面高度差;藉此創新獨特設計,使本發明對照先前技術而言,本發明所揭系統與方法將能夠精確搜尋到透鏡的干涉條紋,並且精準判斷干涉條紋最內及最外的圓環相位角,達到大幅提昇微透鏡陣列表面輪廓檢測精準度與品質之優點與進步性。The main object of the present invention is to provide a microlens array surface contour detecting system and a detecting method thereof, and the problem to be solved is to develop a more ideal and practical microlens array detecting system and its detection. The method aims to solve the problem; the technical feature of the invention solves the problem, and the system includes a fine-tunable positioning part, an optical image capturing module, an optical interference module, a central control part, and an image processing operation mode. The image processing operation module is disposed in the central control unit to remove noise noise, search for image feature points, and generate interference fringes and contours with a central ring and a plurality of inner and outer rings. Image processing operation such as analysis and tabulation; the core design of the present invention mainly lies in that the image processing operation module finds the center position of each ring through the method of pattern segmentation and area recognition, and the judgment of the image base of the microlens array is Automatically find out the background of the entire microlens array interference image according to the method of pattern segmentation and area recognition. The ratio of the central ring area to the ideal central ring area is used to determine the amount of change in the center angle of the center of the interference fringe, and the amount of change in the brightness value of the annular stripe of the first section and the circle of the ideal first section The ratio of the change in the brightness value of the ring stripe is used to determine the amount of change in the phase angle of the ring stripe at the outermost base of the interference fringe, and the area ratio method and the brightness ratio method are all freely switchable, and the method of selecting a higher precision is used. Then find the maximum and minimum values of the brightness curve of each segment, respectively corresponding to the brightness change of the segment phase angle from 0 degrees to 180 degrees, and then determine the corresponding microlens surface height between the points in the segment. With this innovative and unique design, the present invention and the method disclosed in the present invention can accurately search for the interference fringes of the lens and accurately determine the innermost and outermost annular phase angles of the interference fringes. Achieve the advantages and progress of greatly improving the accuracy and quality of the surface contour detection of the microlens array.
請參閱第1、2圖所示,係本發明之較佳實施例,惟此等實施例僅供說明之用,在專利申請上並不受此結構之限制;所述檢測系統係藉以檢測微透鏡陣列(Micro-lens Array)表面輪廓之用,該檢測系統A係包含下述構成:一可微調式置放定位部10,具一置放台面11以供微透鏡陣列05置放定位之用,且該可微調式置放定位部10能夠進行至少X、Y軸二水平軸向之微幅位移調整;該可微調式置放定位部10可為一XY軸數值控制平台(XY-Table)所構成,利用該XY軸數值控制平台以進行該微透鏡陣列05之精密位移,而能完整掃描整體微透鏡陣列05,並且能對微透鏡陣列05進行定位之動作;一光學取像模組20,設於該可微調式置放定位部10的置放台面11上方間隔處,該光學取像模組20包括一影像擷取裝置21(可採用CCD攝影機)以及一顯微鏡組22所構成,該顯微鏡組22與該影像擷取裝置21呈相對位狀態;一光學干涉模組30,係應用菲索(Fizeau)干涉儀架構,包括一雷射發射器31、一光纖32、一震動器與偏光片33、一半反射板34以及一參考板35所構成,其中,該震動器與偏光片33置於該雷射發射器31之發射端前方,該光纖32係置於震動器與偏光片33外側以將雷射光W導出,該半反射板34設於該光學取像模組20之影像擷取裝置21與顯微鏡組22之間,藉以將該光纖32所導出之雷射光W加以反射導向顯微鏡組22,該參考板35則置於顯微鏡組22與可微調式置放定位部10所設置放台面11之間,以利用雷射光W至參考板35第二面之部份反射光,作為微透鏡陣列表面輪廓檢測用之參考波面;一中央控制部40,可為一電腦,係與該可微調式置放定位部10、光學取像模組20、光學干涉模組30三者電性連結,藉以達到整合控制作動之功能;一影像處理運算模組50,設於該中央控制部40,藉以對該影像擷取裝置21所擷取之影像資料進行包括去除雜訊雜點、尋找影像特徵點、產生具有中心圓環及複數內、外圓環之干涉條紋(類似牛頓環)、以及輪廓分析、製表等影像處理與邏輯運算作業;且其中,該影像處理運算模組50,係選擇根據實際中心圓環面積與理想中心圓環面積之比例來判斷所述干涉條紋中心圓環相位角變化量,並根據實際第1區段之圓環條紋的亮度值變化量與理想第1區段之圓環條紋的亮度值變化量之比例,來判斷所述干涉條紋最外側基底處之圓環條紋相位角變化量。Please refer to Figures 1 and 2 for a preferred embodiment of the present invention, but the embodiments are for illustrative purposes only and are not limited by the structure; the detection system is used to detect micro For the surface profile of a micro-lens Array, the detection system A comprises the following components: a fine-tunable placement positioning portion 10 having a placement surface 11 for positioning the microlens array 05. And the fine-adjustable positioning positioning portion 10 is capable of performing a micro-displacement adjustment of at least two horizontal axes of the X and Y axes; the fine-adjustable positioning positioning portion 10 can be an XY-axis numerical control platform (XY-Table) The XY-axis numerical control platform is used to perform precise displacement of the microlens array 05, and the whole microlens array 05 can be completely scanned, and the microlens array 05 can be positioned; an optical imaging module 20 The optical image capturing module 20 includes an image capturing device 21 (which can be a CCD camera) and a microscope group 22, which is disposed at an interval above the placement table 11 of the fine-tunable positioning portion 10. The microscope group 22 is opposite to the image capturing device 21 State; an optical interference module 30 is applied to a Fizeau interferometer architecture, including a laser emitter 31, an optical fiber 32, a vibrator and polarizer 33, a half reflector 34, and a reference plate 35. The vibrator and the polarizer 33 are disposed in front of the emitting end of the laser emitter 31. The optical fiber 32 is disposed outside the vibrator and the polarizer 33 to guide the laser light W. The semi-reflecting plate 34 is disposed. Between the image capturing device 21 of the optical imaging module 20 and the microscope group 22, the laser light W derived from the optical fiber 32 is reflected and guided to the microscope group 22, and the reference plate 35 is placed in the microscope group 22 and The micro-adjustable placement portion 10 is disposed between the placement surfaces 11 to reflect light from the portion of the second surface of the reference plate 35 by using the laser light W as a reference wave surface for detecting the surface contour of the microlens array; a central control portion 40, can be a computer, and the micro-adjustable positioning positioning portion 10, the optical imaging module 20, the optical interference module 30 are electrically connected, thereby achieving the function of integrated control actuation; an image processing operation mode The group 50 is disposed in the central control unit 40, The image data captured by the image capturing device 21 includes removing noise noise, finding image feature points, generating interference fringes having a center ring and a plurality of inner and outer rings (similar to Newton's rings), and contour analysis. Image processing and logic operation operations such as tabulation; and wherein the image processing operation module 50 selects a phase angle change of the center of the interference fringe according to a ratio of an actual central ring area to an ideal central ring area. And determining the ring stripe at the outermost base of the interference fringe according to the ratio of the change amount of the brightness value of the ring stripe of the first section to the change amount of the brightness value of the ring stripe of the ideal first section The amount of phase angle change.
承上,請配合第1、2圖所揭,所述檢測系統A之檢測方法係包含下述步驟:In connection with the above, the detection method of the detection system A includes the following steps:
(A)、開啟該可微調式置放定位部10、光學取像模組20之影像擷取裝置21以及光學干涉模組30之雷射發射器31;(A), the micro-adjustable positioning positioning portion 10, the image capturing device 21 of the optical imaging module 20 and the laser emitter 31 of the optical interference module 30;
(B)、透過一連線程式進行該影像擷取裝置與可微調式置放定位部之連線設定;(B) performing a connection setting between the image capturing device and the fine-tunable positioning portion through a threaded manner;
(C)、設定該可微調式置放定位部10之移動距離,例如待測物之微透鏡陣列大小若是86mm×86mm的陣列形式時,可設定每次平移量為0.1mm;(C), setting the moving distance of the fine-adjustable positioning positioning portion 10, for example, if the size of the microlens array of the object to be tested is an array of 86 mm × 86 mm, the amount of each shift can be set to 0.1 mm;
(D)、利用步驟(C)所設定之移動距離,進行X軸方向位移;(D) performing displacement in the X-axis direction by using the moving distance set in the step (C);
(E)、當步驟(D)每往X軸方向移動一設定距離,即令該影像擷取裝置執行取像動作;(E), when the step (D) is moved by a set distance in the X-axis direction, the image capturing device performs the image capturing operation;
(F)、藉由該影像擷取裝置20取得微透鏡陣列05之干涉條紋影像,係經由該影像處理運算模組以影像處理方式去除雜訊、雜點而獲得易分析之影像圖案;(F) acquiring the interference fringe image of the microlens array 05 by the image capturing device 20, and removing the noise and the noise by the image processing operation module to obtain an image pattern that is easy to analyze;
(G)、藉由該影像處理運算模組50以影像處理方式尋找影像特徵點,再依據所找尋得出之影像特徵點,進行透鏡表面輪廓分析,並將該透鏡表面輪廓分析之結果繪製成圖表;且其中:該影像處理運算模組50係搜尋全部的干涉條紋以計算出整顆透鏡半徑與輪廓,並能判斷該干涉條紋最內及最外的圓環條紋相位角變化量,其中判斷該中心圓環之圓環條紋相位角變化量,係根據實際中心圓環面積與理想中心圓環面積之比例來判斷;而判斷最外側基底處之圓環條紋相位角變化量,係根據實際第1區段之圓環條紋的亮度值變化量與理想第1區段之圓環條紋的亮度值變化量之比例來判斷相位角變化量(此部份容於後文再詳述);(G), the image processing operation module 50 searches for image feature points by image processing, and then performs lens surface contour analysis according to the image feature points found, and draws the result of the lens surface contour analysis into The image processing operation module 50 searches for all interference fringes to calculate the entire lens radius and contour, and can determine the inner and outermost annular stripe phase angle variation of the interference fringe, wherein the image is judged. The change of the phase angle of the ring stripe of the center ring is determined according to the ratio of the actual central ring area to the ideal central ring area; and the change of the phase angle of the ring stripe at the outermost base is determined according to the actual number. The ratio of the change in the luminance value of the ring strip of the 1 segment to the change in the luminance value of the ring stripe of the ideal first segment is used to determine the amount of phase angle change (this portion will be described later in detail);
(H)、當該可微調式置放定位部10進行X軸方向移動設定次數(如100次)後,令該可微調式置放定位部10進行Y軸方向位移一設定距離(0.1mm),以變換成次一列之取像路徑,然後再令該可微調式置放定位部10繼續進行X軸方向之位移(如100次);(H), after the fine-adjustable placement positioning unit 10 performs the X-axis direction movement setting number (for example, 100 times), the fine-adjustable positioning positioning unit 10 is displaced in the Y-axis direction by a set distance (0.1 mm). , in order to transform into the image path of the next column, and then let the fine-tunable positioning portion 10 continue to shift in the X-axis direction (for example, 100 times);
(I)、重覆前述步驟(E)至步驟(H),直到檢測完整體微透鏡陣列05。(I), repeating the foregoing steps (E) to (H) until the intact bulk microlens array 05 is detected.
其中,所述檢測方法係應用菲索干涉儀原理,利用該光學干涉模組所產生之反射光線互相干涉原理形成環狀干涉條紋(即牛頓環),利用該環狀干涉條紋之圈數,以獲得各該透鏡彎曲輪廓之高度;並利用環狀干涉條紋各圈數亮度不同之特徵點進行運算處理,以獲得各該透鏡之表面輪廓圖;又依據該微透鏡陣列之光學影像上所產生之複數環狀干涉條紋,利用該影像處理運算模組之運算處理,能夠同時得到該等環狀干涉條紋之中心點座標位置。Wherein, the detecting method is based on the principle of the Fizeau interferometer, and the annular interference fringes (ie, Newton's rings) are formed by the mutual interference principle of the reflected light generated by the optical interference module, and the number of turns of the annular interference fringes is utilized Obtaining a height of each of the curved contours of the lens; and performing processing on the feature points of the circular interference fringes having different brightness levels to obtain a surface contour map of each of the lenses; and generating the optical image according to the microlens array The plurality of annular interference fringes can obtain the center point coordinate positions of the annular interference fringes simultaneously by the arithmetic processing of the image processing arithmetic module.
以下茲再就本發明之各檢測細節進一步說明:Further details of the detection of the present invention are further described below:
從影像擷取裝置取像後的影像會有數顆微透鏡陣列(如第3圖所揭),此影像處理是為了分割每個微透鏡陣列,以便可以針對某單顆微透鏡做個別處理。The image taken from the image capture device will have several microlens arrays (as shown in Figure 3). This image processing is to divide each microlens array so that it can be individually processed for a single microlens.
在影像前處理,可採用低通濾波及開啟運算,通過這兩項處理來消除影像中的雜訊;接著對該影像進行二值化運算,在一閥值下把影像轉換成黑與白二色,此時就可以明顯的看出每顆微透鏡的圓環干涉條紋。In the pre-image processing, low-pass filtering and on-operation can be used to eliminate the noise in the image through these two processes; then the binarization operation is performed on the image, and the image is converted into black and white at a threshold. Color, at this time, the circular interference fringes of each microlens can be clearly seen.
1. 首先進行影像分割,將像素最多者判定為背景,影像分割處理以利後續步驟找出單顆微透鏡與其中心圓之圓心;1. First, image segmentation is performed to determine the most pixels as the background, and the image segmentation process is used to facilitate the subsequent steps to find the center of a single microlens and its center circle;
2. 確認分割出來的每個影像是否為圓型,由每個影像之中心位置開始,於0°、-180°、90°、-90°延伸出去,分析其四邊半徑是否相同,如相同則判定為圓型;2. Check whether each image that is segmented is round, starting from the center of each image, extending at 0°, -180°, 90°, -90°, and analyzing whether the four sides of the radius are the same, if the same Determined to be round;
3. 將判定為圓型之影像,分析其面積大小,面積為最小者,判定其為中心圓;3. The image determined to be a round shape is analyzed for its area size, and the area is the smallest, and it is determined to be the center circle;
4. 找出中心圓後,並尋找出中心圓之圓心位置。4. Find the center circle and find the center of the center circle.
係先把所有封閉的像素分割成數個物件,並於每個物件貼上標籤;加上背景也是一個物件,共可分割成n個物件。在n個物件當中,可得知每個物件的面積(pixels數),其中,面積最大的物件將定義為背景,也就是微透鏡陣列基底的部分。First, all closed pixels are divided into several objects, and each object is labeled; plus the background is also an object, which can be divided into n objects. Among the n objects, the area of each object (the number of pixels) can be known, and the object with the largest area will be defined as the background, that is, the portion of the base of the microlens array.
中心搜尋是為了尋找分割後物件的中心,把該物件內白色像素水平方向(x軸)與垂直方向(y軸)的座標個別相加,並計算該物件的總像素,參考公式如下:The center search is to find the center of the divided object, and add the coordinates of the horizontal direction (x-axis) and the vertical direction (y-axis) of the white pixel in the object individually, and calculate the total pixel of the object. The reference formula is as follows:
要確認分割出來的物件是否都為圓形,若在此影像內包含不完整的微透鏡(干涉圓環呈弧形或半圓形(如第4圖所示)),則會把該物件列為非圓形。接著請參第5圖所揭,經過中心搜尋得到該物件中心(x c , y c )後,於0°、-180°、90°、-90°延伸出去,遇到第一個黑色像素就停止,四個方向的延伸可得到右邊極限p R 、左邊極限p L 、上極限p T 、下極限p B 。再計算這四個極限點與中心的距離,可得該物件的四個半徑距離。中心與右極限點的半徑距離D CR 、中心與左極限點的半徑距離D CL 、中心與上極限點的半徑距離D CT ;中心與下極限點的半徑距離D CB ,其中:To confirm that the segmented objects are all circular, if the image contains incomplete microlenses (the interference ring is curved or semi-circular (as shown in Figure 4)), the object will be listed. It is non-circular. Then, as shown in Figure 5, after the center search for the object center ( x c , y c ), it extends at 0°, -180°, 90°, -90°, and encounters the first black pixel. Stop, the extension in four directions gives the right limit p R , the left limit p L , the upper limit p T , and the lower limit p B . Calculate the distance between the four limit points and the center to obtain the four radius distances of the object. The radius distance from the center to the right limit point D CR , the radius distance from the center to the left limit point D CL , the radius distance from the center to the upper limit point D CT ; the radius distance from the center to the lower limit point D CB , where:
D CR =P R -X c D CR = P R - X c
D CL =X c -P L D CL = X c - P L
D CT =Y c -P T D CT = Y c - P T
D CB =P B -Y c D CB = P B - Y c
正圓形的半徑相同,因此利用這四個半徑距離中的最大值與最小值相減,若相距大於某設定容忍值T(若干個像素),則該封閉區域判斷為非正圓形,若相距小於某設定容忍值T(若干個像素),則該封閉區域判斷為正圓形。The radius of the perfect circle is the same, so the maximum value and the minimum value of the four radius distances are subtracted. If the distance is greater than a certain tolerance T (several pixels), the closed area is judged to be non-circular. If the distance is less than a set tolerance value T (several pixels), the closed area is judged to be a perfect circle.
當已經排除背景和非圓形,接著就可以搜尋微透鏡中心圓。在前述分割方法中,一顆微透鏡可分割成數個物件且每個物件均為同心圓,若找出物件的圓心再向背景延伸,便可以知道該微透鏡所對應的物件,再把所對應的物件面積相比較,面積最小且距離圓心最近的物件即為該顆微透鏡的中心圓。When the background and non-circular have been excluded, then the center circle of the microlens can be searched. In the foregoing segmentation method, a microlens can be divided into several objects and each object is concentric. If the center of the object is found to extend to the background, the object corresponding to the microlens can be known, and then the corresponding object is The object area is the smallest, and the object closest to the center of the circle is the center circle of the microlens.
得到微透鏡的中心圓後,也就得到了微透鏡的圓心。通過圓心向外延伸至干涉影像背景,便可以得到每顆微透鏡的位置及整顆透鏡半徑與輪廓。方法為從圓心對0°、-180°、90°、-90°延伸出去,四個方向的延伸分別為右邊極限x R 、左邊極限x L 、上極限y T 、下極限y B 。通過這四個極限座標,就可以用(x R ,y T )、(x R ,y B )、(x L ,y B )、(x L ,y T )框出單顆微透鏡(如第10圖所示),予以定位,而單一微透鏡結構示意圖係如第9圖所揭。After obtaining the center circle of the microlens, the center of the microlens is obtained. By extending the center of the circle to the background of the interference image, the position of each microlens and the radius and contour of the entire lens can be obtained. The method is to extend from the center of the circle to 0°, -180°, 90°, and -90°, and the extension in the four directions is the right limit x R , the left limit x L , the upper limit y T , and the lower limit y B . Through these four extreme coordinates, you can use ( x R , y T ), ( x R , y B ), ( x L , y B ), ( x L , y T ) to frame a single microlens (such as Figure 10) is positioned, and a single microlens structure is shown in Figure 9.
菲索干涉儀原理可用光干涉來說明,菲索干涉儀的部份反射鏡與物體反射面的空氣楔距離為d,因為物體反射面所反射的光會比部份反射鏡的作用面所反射光線多跑了2d的光程差,所以形成兩道光干涉所需的相位差,而形成干涉條紋,干涉條紋可以直接由肉眼看到,亦可以CCD取得,由黑色的干涉條紋數目可以算出空氣楔間隔的距離大小,黑色干涉條紋之公式如下:2d=(n+1/2)λThe principle of the Fizeau interferometer can be explained by light interference. The distance between the partial mirror of the Fizeau interferometer and the air wedge of the object reflection surface is d, because the light reflected by the object reflection surface is reflected by the action surface of the partial mirror. The light traverses the optical path difference of 2d, so the phase difference required for the two optical interferences is formed, and interference fringes are formed. The interference fringes can be directly seen by the naked eye, and can also be obtained by CCD. The air wedge can be calculated from the number of black interference fringes. The distance of the interval, the formula of the black interference fringe is as follows: 2d = (n + 1/2) λ
n:為條紋數n: the number of stripes
d:空氣楔間隔d: air wedge spacing
λ:空氣間光波的波長λ: wavelength of light between air
如第6圖所示,菲索干涉儀是由圓球狀的表面與平面所反射光線互相干涉形成環狀條紋,這些干涉條紋(如第7圖所示)類似牛頓環(Newton's Rings)。用(x R
,y T
)、(x R
,y B
)、(x L
,y B
)、(x L
,y T
)框出單顆微透鏡之後,還原影像的灰階值,連同在(x R
,y T
)、(x R
,y B
)、(x L
,y B
)、(x L
,y T
)框之外到另一個微透鏡方框的點素,沿著通過單顆微透鏡中心的方向,得到其灰階值變化的曲線,請參閱第8圖,將其由左而右,依序編號為第1
區段,第2
區段,...之亮度曲線。找出第i
區段亮度曲線之極大值T i
與極小值D i
,g(x,y)
為第i
區段亮度曲線點素(x,y)
之亮度值;第i
區段亮度曲線之極大值與第i
-1區段亮度極大值為同一點T i
-1
=T i
;第i
區段亮度曲線之極小值與第i
+1區段亮度極小值為同一點D i
=D i
+1
;在每一個區段裡,干涉條紋亮度值I
跟第一次反射光強度E 1
、第二次反射光強度E 2
之內積成正比:
I 為第一道光與第二道光之干涉條紋亮度 I is the interference fringe brightness of the first light and the second light
E 1 為第一次反射光強度 E 1 is the first reflected light intensity
E 2 為第二次反射光強度故知區段內干涉條紋之亮度呈現餘弦曲線之分佈情形。 E 2 is the intensity of the second reflected light. It is known that the brightness of the interference fringes in the segment exhibits a distribution of the cosine curve.
干涉條紋相位角由0度變化到360度,呈現亮到暗又到亮的變化,代表微透鏡表面輪廓起伏量為λ/2,干涉條紋最內及最外的圓環,這兩部分習知的方法是沒辦法去判斷其相位角,也就是說,這兩部分相位角不一定是0度變化到180度,除此之外,無論是亮或是暗,都算是一個圓環,剩下的圓環相位角都是從0度變化到180度,明到暗的變化是一個完整180度的變化,相位角由0度變化到180度,代表微透鏡表面輪廓起伏量為λ/4,所以我們開發一個創新的方法來判斷 出內側圓環的相位角變化量,而最外側基底處之圓環條紋的相位角變化也很可能不是個完整的變化,可以利用我們所開發創新的方法來判斷其變化量。The phase angle of the interference fringe changes from 0 degrees to 360 degrees, showing a change from light to dark to bright, representing the undulation of the surface of the microlens as λ/2, and the innermost and outermost ring of the interference fringe. The method is that there is no way to judge the phase angle. That is to say, the phase angles of the two parts do not necessarily change from 0 degrees to 180 degrees. In addition, whether it is bright or dark, it is a ring, and the rest is left. The phase angle of the ring changes from 0 degrees to 180 degrees. The change from light to dark is a complete 180 degree change. The phase angle changes from 0 degrees to 180 degrees, which means that the surface roughness of the microlens is λ/4. So we develop an innovative way to judge The change in the phase angle of the inner ring and the change in the phase angle of the ring strip at the outermost base are probably not a complete change. We can use the innovative method we developed to judge the amount of change.
判斷中心圓環之圓環條紋相位角變化量(α
),請配合參閱第11圖所揭:可根據實際中心圓環面積與理想中心圓環面積之比例來判斷中心圓環相位角變化量(α
)。假設中心圓環為第n
區段,理想中心圓環面積可由中心外圍第二圈圓環(n-1
區段)的面積乘上係數推算而得:
A' 為n-1 區段之圓環的面積 A' is the area of the ring of the n-1 section
τ1 為面積比例係數τ 1 is the area scale factor
判斷最外側基底處(第1區段)之圓環條紋相位角變化量(β
),請配合參閱第12圖:可根據實際第1區段之圓環條紋的亮度值變化量與理想第1區段之圓環條紋的亮度值變化量之比例來判斷相位角變化量(β
)。理想第1區段圓環亮度值變化量可由2區段之圓環條紋的的亮度值變化量乘上係數推算而得,或由第2、3區段的亮度值變化量外差而得:
△g' 為第2區段之圓環條紋的的亮度值變化量 Δg' is the amount of change in the luminance value of the ring stripe of the second section
τ2 為亮度值變化量比例係數τ 2 is the ratio of the change in the brightness value
令△ i 為第i 區段相位角從0度到180度時的亮度變化,當i =1時, Let Δ i be the change in brightness of the phase angle of the i-th segment from 0 to 180 degrees, when i =1,
當i =n 時, When i = n ,
當1<i <n 時,△ i 為亮度曲線的極大值與極小值之差值,△ i =|T i -D i |When 1 < i < n , Δ i is the difference between the maximum value and the minimum value of the luminance curve, Δ i =| T i - D i |
令A i 為第i 區段相位角為90度時的亮度值Let A i be the luminance value when the phase angle of the i-th segment is 90 degrees.
當i =1時, When i =1,
當1<i =n 時, When 1< i = n ,
亮度曲線點素(x,y)
與(x+1,y)
之間的相位角之差值δθ
(x
,y
)如下:
令中心圓(x c
,y c
)所在的區段為第n區段,則第2區段至第(n-1)區段點素(x,y)
與(x+1,y)
之間所對應的微透鏡表面高度差δd(x)
的值可由以下公式可求出:
而該干涉條紋相位角變化示意圖係如第13圖所揭;由第1區段累計至微透鏡的中心圓(x c
,y c
)所在的區段之每一個相鄰點素所對應的微透鏡表面高度差,可以計算出Lens Sag(△d
)
請配合參閱第14圖所揭,係為干涉條紋曲率半徑計算示意圖,假設B(x 2 ,y 2 ) 為透鏡之最高點,則另取其前後兩點A(x 1 , y 1 ) 、C(x 1 ,y 1 ) (A 、C 亦可為曲面的兩個端點)則線段AB 及線段BC 之斜率m 1 、m 2 分別為Please refer to Figure 14 for the calculation of the radius of curvature of the interference fringe. If B(x 2 , y 2 ) is the highest point of the lens, take the two points A(x 1 , y 1 ) and C. (x 1 , y 1 ) ( A and C can also be the two endpoints of the surface). The slopes m 1 and m 2 of the line segment AB and the line segment BC are respectively
分別對線段AB 及線段BC 做中垂線L 1 、L 2 ,其斜率分別為The vertical line L 1 and L 2 are respectively made for the line segment AB and the line segment BC , and the slopes thereof are respectively
則L 1 、L 2 的方程式分別為Then the equations of L 1 and L 2 are respectively
L 1 :y =m 1 'x +c 1 L 1 : y = m 1 ' x + c 1
L 2 :y =m 2 'x +c 2 L 2 : y = m 2 ' x + c 2
利用L 1 、L 2 的聯立方程式,可求出兩直線方程式的交點D(x,y) 為Using the simultaneous equations of L 1 and L 2 , the intersection point D(x, y) of the two-line equation can be found as
計算B 、P 兩點間的距離即可求得干涉條紋之曲率半徑r 為Calculate the distance between the two points B and P to find the radius of curvature r of the interference fringe
在作干涉條紋之定量分析時,並不須刻意去找尋接觸點或基準點,若光學平板與工件被測面呈一微小角度相交,其上所產生出的條紋分別表示菲索干涉儀與被測面相對點的空氣楔高度。我們可以任意令工件表面某點為基準點,依此向前後左右推得工件表面整體的空氣楔高度(請配合參閱第15圖所揭),最後將光學平板之傾斜高度扣掉,即得工件被測面之表面起伏情形。In the quantitative analysis of interference fringes, it is not necessary to find the contact point or the reference point deliberately. If the optical plate intersects the measured surface of the workpiece at a slight angle, the fringes generated on it represent the Fizeau interferometer and the The height of the air wedge at the opposite point of the face. We can arbitrarily make a point on the surface of the workpiece as the reference point, and then push the air wedge height of the whole surface of the workpiece forward and backward (please refer to the figure shown in Figure 15). Finally, the tilting height of the optical plate is buckled off, and the workpiece is obtained. The surface of the measured surface is undulating.
此時R 2 =r 2 +(R -d )2 =r 2 +R 2 -2Rd +d 2 At this time, R 2 = r 2 +( R - d ) 2 = r 2 + R 2 -2 Rd + d 2
亦即:0=r 2 -2Rd +d 2 That is: 0= r 2 -2 Rd + d 2
d很小,可忽略其二次方項,可得r 2 -2Rd =0d is small, you can ignore its quadratic term, you can get r 2 -2 Rd =0
即 which is
假設第m圈暗紋作用面之間隙為d m Assume that the gap of the m-th order dark surface is d m
d m =mλ/2 d m = mλ/2
代入得Substituting
化簡後可得第m 圈干涉條紋中暗紋之位置r m 與圓球狀的microlens之半徑R ,干涉光波長λ 之關係如下:After simplification, the position r m of the dark line in the interference fringe of the mth circle and the radius R of the spherical microlens, and the relationship of the wavelength λ of the interference light are as follows:
本實施例所用之微透鏡陣列規格為半徑:110μm、曲率半徑:1.561mm、陣列大小:10mm×10mm×1.2mm。The microlens array used in this embodiment has a radius of 110 μm, a radius of curvature of 1.561 mm, and an array size of 10 mm × 10 mm × 1.2 mm.
本發明是以菲索干涉儀為硬體架構來擷取影像,其光源可為氦氖雷射,波長為632nm,而所得到的影像如第4圖所示,進而分析出透鏡的彎曲輪廓之高度為0.9~1.1μm,而利用數學式驗證得知,此透鏡的彎曲輪廓之高度為1.0μm。本發明係為一套以非接觸方式量測微透鏡陣列之檢測系統,由影像擷取裝置擷取出微透鏡陣列之影像,再經過影像處理方式得到透鏡之半徑及中心點位置,再以菲索干涉儀的干涉原理得到透鏡之干涉圖,經過數學式的分析及計算得到微陣列之形狀資訊,透鏡直徑之誤差低於1%,彎曲高度之誤差低於1%。The invention adopts a Fizeau interferometer as a hardware structure to capture an image, and the light source thereof can be a strontium laser with a wavelength of 632 nm, and the obtained image is as shown in FIG. 4, thereby analyzing the curved contour of the lens. The height is 0.9 to 1.1 μm, and it is found by the mathematical proof that the height of the curved profile of the lens is 1.0 μm. The invention is a detection system for measuring the microlens array in a non-contact manner, the image of the microlens array is taken out by the image capturing device, and the radius and the center point position of the lens are obtained through image processing, and then the Fisso The interference principle of the interferometer obtains the interferogram of the lens. After the mathematical analysis and calculation, the shape information of the microarray is obtained. The error of the lens diameter is less than 1%, and the error of the bending height is less than 1%.
所述「微透鏡陣列表面輪廓檢測系統及其檢測方法」主要藉由所述可微調式置放定位部、光學取像模組、光學干涉模組、中央控制部及影像處理運算模組之組成設計;其光學干涉模組應用菲索干涉儀架構且配合影像處理運算模組,中心區域選擇根據實際中心圓環面積與理想中心圓環面積之比例判斷干涉條紋中心圓環相位角變化量,而最外側區域選擇根據實際圓環條紋亮度值變化量與理想圓環條紋亮度值變化量之比例判斷干涉條紋最外側基底處圓環條紋相位角變化量之獨特設計,此二種方式均可自由選擇,以提高判斷精度;使本發明能夠精確搜尋到透鏡的干涉條紋,並且精準判斷干涉條紋最內及最外的圓環相位角,達到大幅提昇微透鏡陣列表面輪廓檢測精準度與品質之優點與進步性。The "microlens array surface contour detecting system and the detecting method thereof" mainly comprises the micro-adjustable positioning positioning portion, the optical image capturing module, the optical interference module, the central control portion and the image processing computing module. Design; the optical interference module uses the Fizeau interferometer architecture and cooperates with the image processing computing module, and the central region selects the phase angle variation of the center of the interference fringe according to the ratio of the actual central ring area to the ideal central ring area, and The outermost region is selected according to the ratio of the change amount of the actual ring stripe brightness value to the change amount of the ideal ring stripe brightness value, and the unique design of the ring stripe phase angle variation at the outermost base of the interference fringe is determined. Both methods can be freely selected. In order to improve the judgment accuracy; the invention can accurately search for the interference fringe of the lens, and accurately determine the innermost and outermost annular phase angle of the interference fringe, thereby achieving the advantages of greatly improving the precision and quality of the surface contour detection of the microlens array and Progressive.
上述實施例所揭示者係藉以具體說明本發明,且文中雖透過特定的術語進行說明,當不能以此限定本發明之專利範圍;熟悉此項技術領域之人士當可在瞭解本發明之精神與原則後對其進行變更與修改而達到等效之目的,而此等變更與修改,皆應涵蓋於如后所述之申請專利範圍所界定範疇中。The above embodiments are intended to be illustrative of the present invention, and are not to be construed as limiting the scope of the invention. The principles are changed and modified to achieve an equivalent purpose, and such changes and modifications are to be included in the scope defined by the scope of the patent application as described later.
05...微透鏡陣列05. . . Microlens array
A...檢測系統A. . . Detection Systems
10...可微調式置放定位部10. . . Fine-adjustable positioning position
11...置放台面11. . . Place the countertop
20...光學取像模組20. . . Optical imaging module
21...影像擷取裝置twenty one. . . Image capture device
22...顯微鏡組twenty two. . . Microscope group
30...光學干涉模組30. . . Optical interference module
31...雷射發射器31. . . Laser transmitter
32...光纖32. . . optical fiber
33...震動器與偏光片33. . . Vibrator and polarizer
34...半反射板34. . . Semi-reflecting plate
35...參考板35. . . Reference board
40...中央控制部40. . . Central control department
50...影像處理運算模組50. . . Image processing computing module
第1圖:本發明之檢測系統架構簡示圖。Figure 1: Schematic diagram of the architecture of the detection system of the present invention.
第2圖:本發明檢測系統之局部檢測方法流程方塊圖。Figure 2 is a block diagram showing the flow of the local detection method of the detection system of the present invention.
第3圖:本發明微透鏡陣列之示意圖。Figure 3: Schematic representation of the microlens array of the present invention.
第4圖:本發明分割物件判斷示意圖(弧形或半圓形被判斷為非圓形)。Fig. 4 is a view showing the judgment of the divided object of the present invention (arc or semicircle is judged to be non-circular).
第5圖:本發明物件的四個半徑距離示意圖。Figure 5: Schematic diagram of the four radius distances of the articles of the invention.
第6圖:本發明菲索干涉儀示意圖。Figure 6: Schematic diagram of the Fizeau interferometer of the present invention.
第7圖:本發明環狀干涉條紋示意圖。Figure 7 is a schematic view of the annular interference fringes of the present invention.
第8圖:本發明之灰階值變化曲線之示意圖。Figure 8 is a schematic view showing the gray scale value change curve of the present invention.
第9圖:本發明單一微透鏡結構示意圖。Figure 9 is a schematic view showing the structure of a single microlens of the present invention.
第10圖:本發明單顆微透鏡影像示意圖。Figure 10 is a schematic view of a single microlens image of the present invention.
第11圖:本發明判斷中心圓環之圓環條紋相位角變化量示意圖。Figure 11 is a schematic view showing the variation of the phase angle of the ring stripe of the center circle of the present invention.
第12圖:本發明判斷最外側基底處之圓環條紋相位角變化量曲線示意圖。Fig. 12 is a schematic view showing the curve of the change in the phase angle of the annular stripe at the outermost base of the present invention.
第13圖:本發明干涉條紋相位角變化示意圖。Figure 13 is a schematic view showing the change of the phase angle of the interference fringe of the present invention.
第14圖:本發明曲率半徑計算示意圖。Figure 14: Schematic diagram of the calculation of the radius of curvature of the present invention.
第15圖:本發明菲索干涉儀工作表面整體的空氣楔高度示意圖。Figure 15 is a schematic view showing the overall air wedge height of the working surface of the Fizeau interferometer of the present invention.
05...微透鏡陣列05. . . Microlens array
A...檢測系統A. . . Detection Systems
10...可微調式置放定位部10. . . Fine-adjustable positioning position
11...置放台面11. . . Place the countertop
20...光學取像模組20. . . Optical imaging module
21...影像擷取裝置twenty one. . . Image capture device
22...顯微鏡組twenty two. . . Microscope group
30...光學干涉模組30. . . Optical interference module
31...雷射發射器31. . . Laser transmitter
32...光纖32. . . optical fiber
33...震動器與偏光片33. . . Vibrator and polarizer
34...半反射板34. . . Semi-reflecting plate
35...參考板35. . . Reference board
40...中央控制部40. . . Central control department
50...影像處理運算模組50. . . Image processing computing module
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