TW201335571A - Apparatus and method of simultaneously detecting three dimensional surface skeleton and optical level surface roughness - Google Patents

Apparatus and method of simultaneously detecting three dimensional surface skeleton and optical level surface roughness Download PDF

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TW201335571A
TW201335571A TW101106467A TW101106467A TW201335571A TW 201335571 A TW201335571 A TW 201335571A TW 101106467 A TW101106467 A TW 101106467A TW 101106467 A TW101106467 A TW 101106467A TW 201335571 A TW201335571 A TW 201335571A
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dimensional surface
simultaneously detecting
surface roughness
dimensional
optical grade
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TWI464369B (en
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Chuen-Lin Tien
Hung-Da Tzeng
Tsai-Wei Lin
Chern-Sheng Lin
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Univ Feng Chia
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Abstract

The present invention provides an apparatus and a method of simultaneously detecting the three dimensional surface profile and the optical level surface roughness. The invention is based on differently configured microscope interferometers incorporating techniques of fast Fourier transform, interference phase recovery and digital filtering. Three differently configured microscope interferometers are used, including the improved Michelson, symmetric Linnik and asymmetric Linnik microscope interferometers, and Mirau microscope interferometer, the Fourier transform and Gaussian filter are also used to detect the three dimensional surface morphology and the surface roughness of an micro-optical element. Experimental results verify that the symmetric Linnik microscope interferometer has the highest transversal and longitudinal resolutions and the lowest system measurement error among the microscope interferometers. The system has the same variation trend for detecting roughness as that of the atomic force microscopy in measuring thin film samples. The method has advantages of easy operation, precise measurement, non-destructive measurement, high resolution and wider area detection on roughness.

Description

同時檢測三維表面輪廓及光學級表面粗糙度的裝置及方法Device and method for simultaneously detecting three-dimensional surface contour and optical grade surface roughness

本發明是有關於一種可同時檢測三維表面輪廓及光學級表面粗糙度的裝置及方法。The present invention relates to an apparatus and method for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness.

近年來微型化元件,例如:微透鏡和光學薄膜元件,已越來越廣泛應用於微型化的光學系統中,其使用範疇包括微型化的投影系統,或是USB 3.0的光通訊傳輸系統中,此皆需依賴於微透鏡對光束聚焦與準直的基本特性,且隨著微型化的製造技術發展,現今已可進一步製作出更為微小尺寸的微透鏡與光學薄膜元件,但相對的也需有精確的量測技術可提供微透鏡與光學薄膜元件的表面輪廓與粗糙度特性檢測。為能測定微透鏡與光學薄膜元件的幾何參數,其先決條件為必須重建其三維表面輪廓,其次藉由表面形貌的重建,也可進一步推算微透鏡的曲率半徑大小與光學薄膜元件的幾何參數。此外,微透鏡與光學薄膜元件的表面粗糙度會影響表面的散射損耗與微觀特性,這些對於微型元件的性能表現都有顯著影響。為符合實用性,擬開發一套可同時檢測微型元件三維表面輪廓與表面粗糙度的非接觸式量測系統。In recent years, miniaturized components, such as microlenses and optical thin film components, have become more and more widely used in miniaturized optical systems, and their use ranges include miniaturized projection systems or USB 3.0 optical communication transmission systems. All of this depends on the basic characteristics of the focusing and collimation of the beam by the microlens, and with the development of miniaturized manufacturing technology, more micro-lens and optical film components can be further fabricated, but the relative need Accurate measurement techniques provide surface profile and roughness characteristics for microlens and optical film components. In order to be able to determine the geometric parameters of the microlens and optical film elements, the prerequisite is that the three-dimensional surface profile must be reconstructed. Secondly, by reconstructing the surface topography, the radius of curvature of the microlens and the geometric parameters of the optical film element can be further estimated. . In addition, the surface roughness of the microlens and optical film elements affects the surface's scattering loss and microscopic characteristics, which have a significant impact on the performance of the micro-components. In order to meet the practicality, it is proposed to develop a non-contact measuring system capable of simultaneously detecting the three-dimensional surface contour and surface roughness of micro components.

現今普遍用於三維表面輪廓及粗糙度的量測系統為原子力顯微鏡,雖具有極高的縱向解析度,但量測過程十分費時且設備也較為昂貴。若使用探針式的量測技術時,可能會因為探針與薄膜表面的接觸而造成樣品表面的破壞。The measurement system commonly used today for three-dimensional surface contours and roughness is an atomic force microscope. Although it has a very high longitudinal resolution, the measurement process is time consuming and expensive. If probe-based measurement techniques are used, the surface of the sample may be destroyed by contact of the probe with the surface of the film.

有鑑於一般粗糙度量測方法有基板尺寸、材質上等等因素的限制,有的則是需要以接觸式探針掃瞄的方式或以原子力非接觸式掃瞄方式測量表面高度變化,這些方法較為費時,且接觸式容易刮傷待測物表面等缺點。In view of the limitations of general roughness measurement methods such as substrate size, material, etc., some methods require surface probe height measurement by contact probe scanning or atomic force non-contact scanning. It is more time consuming, and the contact type is easy to scratch the surface of the object to be tested.

基於上述各項現行技術於進行時所產生的缺失,如何提供一種快速、便捷,且量測精準的量測方法便為現今此領域很重要的一個課題。Based on the shortcomings of the above-mentioned various current technologies, how to provide a fast, convenient, and accurate measurement method is an important topic in this field.

因此,本發明之主要目的即在於提供一種可同時檢測三維表面輪廓及光學級表面粗糙度的裝置及方法。Accordingly, it is a primary object of the present invention to provide an apparatus and method for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness.

為能達成本發明的目的,本發明所使用的技術手段主要是將所提的系統架構應用於不同微型化元件,係以不同架構的顯微干涉儀為基礎,並結合快速傅立葉轉換法、干涉相位還原法與數位濾波技術。In order to achieve the object of the present invention, the technical means used in the present invention mainly applies the proposed system architecture to different miniaturized components, based on micro-interferometers of different architectures, combined with fast Fourier transform method, interference. Phase reduction method and digital filtering technology.

本發明所使用的技術手段主要是先藉由微透鏡陣列與光學薄膜,進行其三維表面輪廓的形貌還原、軸向曲率半徑擬合與表面粗糙度的檢測。證明此所提的技術可應用於其它微型化元件的特性檢測,並設計一套操作簡易、量測準確、非接觸式量測、高解析度與較大全域面積粗糙度的光學量測系統。The technical means used in the present invention mainly utilizes a microlens array and an optical film to perform topography reduction, axial curvature radius fitting and surface roughness detection of a three-dimensional surface profile. It is proved that the proposed technology can be applied to the characteristic detection of other miniaturized components, and an optical measuring system with simple operation, accurate measurement, non-contact measurement, high resolution and large global area roughness is designed.

本發明所使用的技術主要是使用三種不同架構的顯微干涉儀:改良型的Michelson、對稱型的Linnik與不對稱型的Linnik顯微干涉儀、以及Mirau顯微干涉儀架構,並結合傅立葉轉換法與高斯濾波器,可檢測微光學元件的三維表面形貌與粗糙度大小。The technique used in the present invention is mainly to use three different interferometers: Michelson, symmetrical Linnik and asymmetric Linnik microinterferometer, and Mirau microinterferometer architecture, combined with Fourier transform The method and the Gaussian filter can detect the three-dimensional surface topography and roughness of the micro-optical components.

本發明中提出的系統架構,可搭配任意放大倍率與數值孔徑的顯微物鏡進行量測,藉此改善傳統顯微干涉儀系統橫向解析度不足的問題,此外本發明為結合傅立葉轉換法,可在系統配置中以人為的方式施加空間載波的大小,其次經擷取等厚干涉條紋後,可用單張干涉影像還原樣品的三維表面輪廓,進行軸向的曲率半徑擬合計算,最後藉由數位高斯濾波器,以濾除樣品低頻表面輪廓訊號,保留樣品高頻粗糙度訊號,進而計算樣品表面粗糙度的大小。The system architecture proposed in the present invention can be measured with a microscope objective lens of any magnification and numerical aperture, thereby improving the problem of insufficient lateral resolution of the conventional micro-interferometer system, and the present invention is combined with the Fourier transform method. In the system configuration, the size of the space carrier is artificially applied, and after the equal-strength interference fringes are captured, the three-dimensional surface profile of the sample can be restored by a single interference image, and the axial radius of curvature is fitted and calculated, and finally by digital The Gaussian filter filters out the low-frequency surface profile signal of the sample and retains the sample high-frequency roughness signal to calculate the surface roughness of the sample.

此外,本發明所提出的系統配置,可搭配不同檢測樣品做光程上的調整,亦可搭配不同放大倍率的顯微物鏡作為檢測,所設計的系統架構具有操作簡易、量測準確、非破壞性量測、高解析度與較大全域面積粗糙度檢測的優點。In addition, the system configuration proposed by the present invention can be adjusted with different detection samples for optical path adjustment, and can also be combined with microscope objectives of different magnifications for detection. The designed system architecture is easy to operate, accurate measurement, and non-destructive. The advantages of sex measurement, high resolution and large global area roughness detection.

經實驗證實,在對稱型Linnik顯微干涉儀的系統中,具有最高的橫向、縱向解析度與最低的系統量測誤差,此系統針對薄膜樣品的粗糙度量測結果與原子力顯微鏡具有一致的變化趨勢。It has been confirmed by experiments that in the system of symmetric Linnik micro-interferometer, it has the highest lateral and longitudinal resolution and the lowest system measurement error. The roughness measurement results of the film sample are consistent with the atomic force microscope. trend.

此方法具有操作簡易、量測準確、非破壞性量測、高解析度與較大全域面積粗糙度檢測的優點。The method has the advantages of simple operation, accurate measurement, non-destructive measurement, high resolution and large global area roughness detection.

此發明以不同架構的顯微干涉儀為基礎,並結合快速傅立葉轉換法、干涉相位還原法與數位濾波技術,在原理上採用的是二維的傅立葉轉換法,其理論描述如下。The invention is based on a micro-interferometer of different architectures, and combines a fast Fourier transform method, an interference phase reduction method and a digital filtering technique. In principle, a two-dimensional Fourier transform method is adopted, and the theory is described as follows.

首先考慮經載波處理,兩道光干涉後的光強度分佈關係式:First consider the carrier intensity, the relationship between the two light interference after the light intensity distribution:

I(x,y)=a(x,y)+b(x,y)cos[2πf 0,x +2πf 0,y +Φ(x,y)] (1) I(x,y) = a(x,y) + b(x,y)cos[2 π f 0,x + 2 π f 0,y + Φ(x,y)] (1)

在(1)式中,a(x,y)為條紋形貌的背景光強訊號,b(x,y)為條紋比對係數,f 0,x f 0,x 分別代表x方向與y方向的載波頻率,Φ(x,y)為波前相位資訊。其光強分佈的複數形式可表示為:In (1), a(x, y) is the background intensity signal of the stripe morphology, b(x, y) is the stripe matching coefficient, f 0, x and f 0, x represent the x direction and y , respectively. The carrier frequency of the direction, Φ(x, y) is the wavefront phase information. The plural form of its light intensity distribution can be expressed as:

I(x,y)=a(x,y)+c(x,y)exp(2πjf 0,x x+2πf 0,y y)+c * (x,y)exp(-2πjf 0,x x-2πf 0,y y) (2) I(x,y) = a(x,y) + c(x,y)exp(2 π jf 0,x x + 2 π f 0,y y) + c * (x,y)exp(-2 π jf 0,x x-2 π f 0,y y) (2)

其中*為共軛複數,且c(x,y)= b(x,y)exp[jΦ(x,y)]為複數條紋形貌。將(2)式作快速傅立葉轉換可得到:Where * is a conjugate complex number and c(x,y) = b(x, y)exp[jΦ(x, y)] is a complex stripe morphology. Using (2) for fast Fourier transform, you can get:

I F (x,y)=A(f x ,f y )+C(f x -f 0,x ,f y -f 0,y )+C *(f x +f 0,x ,f y +f 0,y ) (3) I F (x,y) = A(f x ,f y ) + C(f x -f 0,x ,f y -f 0,y ) + C * ( f x + f 0,x ,f y + f 0,y ) (3)

經快速傅立葉轉換後,將原本的干涉訊號轉換至傅立葉頻譜,觀察傅立葉轉換平面,可知其空間變數a(x,y)b(x,y)Φ(x,y)為較低空間載波頻率f 0 ,為將(3)式載波頻率f 0 由傅立葉頻譜分離,如第1圖所示,藉由濾波器將C(f x -f 0,x ,f y - f 0,y )擷取平移至中心頻譜以消除載波訊號,再對其作反傅立葉轉換,即可將c(x,y)萃取出來,計算出Φ(x,y)相位分佈:After the fast Fourier transform, the original interference signal is converted to the Fourier spectrum, and the Fourier transform plane is observed. It can be seen that the spatial variables a(x, y) , b(x, y) and Φ(x, y) are lower spatial carriers. The frequency f 0 is to separate the carrier frequency f 0 of the equation (3) from the Fourier spectrum. As shown in Fig. 1, C(f x -f 0,x ,f y - f 0,y ) is滤波器 by the filter Take the translation to the center spectrum to eliminate the carrier signal, and then perform inverse Fourier transform on it, then extract c(x, y) and calculate the Φ(x, y) phase distribution:

然而,經反正切計算後的相位將限制於π~-π的2π模數中,為不連續的相位分佈,因此需再藉由相位還原法作相位展開,將不連續相位分佈增減2π,使其為連續相位分佈,並還原成原始相位函數Φ(x,y)值,重建樣品表面輪廓。However, the phase after arctangent calculation will be limited to the 2π modulus of π~-π, which is a discontinuous phase distribution. Therefore, phase reduction is required by phase reduction method to increase or decrease the discontinuous phase distribution by 2π. Make it a continuous phase distribution and restore it to the original phase function Φ(x,y) value to reconstruct the sample surface profile.

其次,為將二維的不連續相位訊號作展開,採用Macy的相位展開法,可分別將x與y軸向中,相鄰而不連續的相位增減2π的整數倍,使其還原為二維的正確相位分佈。Secondly, in order to expand the two-dimensional discontinuous phase signal, the phase expansion method of Macy can be used to reduce the adjacent and discontinuous phase of the x and y axes by an integer multiple of 2π to reduce it to two. The correct phase distribution of the dimension.

首先我們將先分別考慮單一x方向,將相鄰像素的相位作展開,其計算式如下:First, we will first consider the single x direction and expand the phase of adjacent pixels. The calculation formula is as follows:

Φ'(x i ,y)=Φ(x i ,y)+2pπ (5) Φ '( x i , y )= Φ ( x i , y )+2 p π (5)

其中Φ'(x i ,y)為x方向相位展開後的原始相位,Φ(x i ,y)為x方向相位展開前的不連續相位,x i 為x軸上任一點的位置,p為相位增減2π的任意整數。且由於相鄰像素的相位經反正切運算後,受限於π~-π的2π模數中。亦即Where Φ '( x i , y ) is the original phase after phase unwrapping in the x direction, Φ ( x i , y ) is the discontinuous phase before the phase expansion in the x direction, x i is the position of any point on the x axis, p is the phase Increase or decrease any integer of 2π. And since the phase of the adjacent pixel is subjected to the arctangent operation, it is limited to the 2π modulus of π~-π. that is

-π<Φ'(x i ,y)-Φ'(x i -1,y)<π (6)-π< Φ '( x i , y )- Φ '( x i -1 , y )<π (6)

經增加π於公式(5)中,可展開為By adding π to equation (5), it can be expanded to

0<Φ(x i ,y)-Φ'(x i -1,y)+(2p+1)π<2π (7)0< Φ ( x i , y )- Φ '( x i -1 , y )+(2 p +1)π<2π (7)

此關係式可得到一個相位展開的遞迴關係式This relationship gives a recursive relationship of phase expansion

Φ'(x i ,y)=remainder[Φ(x i ,y)-Φ'(x i -1,y)+(2p+1)π,2π]+Φ'(x i -1,y)-π (8) Φ '( x i , y )= remainder [ Φ ( x i , y )- Φ '( x i -1 , y )+(2 p +1)π,2π]+ Φ '( x i -1 , y )-π (8)

其中remainder為一個遞迴函數,藉由此公式則可將x軸上任一點x i 還原至正確的相位。The remainder is a recursive function by which any point x i on the x-axis can be restored to the correct phase.

經x方向相位展開後,接著再對y方向進行相位展開。After phase unwrapping in the x direction, phase unwrapping is then performed in the y direction.

Φ'(x c ,y j )=Φ(x c ,y j )+2p k π (9) Φ '( x c , y j )= Φ ( x c , y j )+2 p k π (9)

其中Φ'(x c ,y j )為y方向相位展開後的原始相位,Φ(x i ,y j )為y方向相位展開前的不連續相位,x c 為x軸中心位置,y j 為y軸上任一點的位置,p k 為相位增減2π的任意整數。因2π模數限制,可得Where Φ '( x c , y j ) is the original phase after phase unwrapping in the y direction, Φ ( x i , y j ) is the discontinuous phase before the phase expansion in the y direction, x c is the center position of the x axis, and y j is The position of any point on the y-axis, p k is an arbitrary integer whose phase is increased or decreased by 2π. Due to 2π modulus limit, available

-π<Φ'(x c ,y j )-Φ'(x c ,y j -1)<π (10)-π< Φ '( x c , y j )- Φ '( x c , y j -1 )<π (10)

經增加π再除以2π於公式(5)中,可展開為After increasing π and dividing by 2π in equation (5), it can be expanded to

0<{[Φ'(x c ,y j )-Φ'(x c ,y j -1)]/2π+0.5}+p k -1 (11)0<{[ Φ '( x c , y j )- Φ '( x c , y j -1 )]/2π+0.5}+ p k -1 (11)

此關係式可得到一個相位展開的遞迴關係式This relationship gives a recursive relationship of phase expansion

Φ'(x i ,y)=INT{[Φ'(x c ,y j )-Φ'(x c ,y j -1)]/2π+0.5}+p k -1 (12) Φ '( x i , y )= INT {[ Φ '( x c , y j )- Φ '( x c , y j -1 )]/2π+0.5}+ p k -1 (12)

其中INT為一個遞迴函數,p k 為將y軸上任一點y j 還原至正確相位所增減2π的數目。Where INT is a recursive function and p k is the number of increments or decrements of 2π by reducing any point y j on the y-axis to the correct phase.

經上述計算,並藉由此下列方程式,則二維相位即可正確地被展開。By the above calculation, and by the following equations, the two-dimensional phase can be correctly expanded.

Φ'(x i ,y j )=Φ(x i ,y j )+2p k π (13) Φ '( x i , y j )= Φ ( x i , y j )+2 p k π (13)

經二維相位展開後,如第2圖所示,可將二維不連續的相位訊號,展開為二維正確的相位訊號,最後再乘上λ/4π轉換為樣品表面的高度變化,重建樣品表面三維輪廓。After two-dimensional phase unwrapping, as shown in Fig. 2, the two-dimensional discontinuous phase signal can be expanded into a two-dimensional correct phase signal, and finally multiplied by λ/4π to convert the height change of the sample surface to reconstruct the sample. 3D contour of the surface.

最後,在薄膜表面粗糙度的量測過程中,由於經表面重建的待測輪廓表面z(x),包括部份的粗糙面訊號r(x),與部份的波面訊號ω(x),如第3圖所示,因此必須藉由數位高斯濾波器S(x),作為訊號分離的工具,且由於高斯濾波器具有線性相位的特性,為最常被使用的濾波器之一,可適合用於粗糙度的訊號分離。Finally, in the measurement of the surface roughness of the film, due to the surface reconstruction of the surface to be measured z(x), including part of the rough surface signal r(x), and part of the wavefront signal ω(x), As shown in Fig. 3, the digital Gaussian filter S(x) must be used as a signal separation tool, and since the Gaussian filter has a linear phase characteristic, it is suitable for one of the most commonly used filters. Used for signal separation of roughness.

在設計高斯濾波器時,須定義其權重函數的截止波長λ c ,對重建的表面進行摺積運算(convolution),則可獲得薄膜的低頻表面訊號,再經傅立葉轉換法(Fourier Transform Method;FTM)還原重建的三維表面輪廓訊號與低頻表面訊號相減,即可得到薄膜的表面粗糙度訊號,重建薄膜三維表面粗糙度輪廓。When designing a Gaussian filter, the cutoff wavelength λ c of its weight function must be defined, and the reconstructed surface is convolution. The low frequency surface signal of the film can be obtained, and then the Fourier Transform Method (FTM) The reduced reconstructed three-dimensional surface contour signal is subtracted from the low-frequency surface signal to obtain a surface roughness signal of the film, and the three-dimensional surface roughness profile of the film is reconstructed.

第4圖為高斯濾波器的穿透特性,若一弦波之波長等於高斯濾波器的截止波長,則此弦波訊號僅50%能通過高斯濾波器。高斯濾波器的權重函數與對應不同波長的穿透特性,分別表示如下式:Figure 4 shows the penetration characteristics of the Gaussian filter. If the wavelength of a sine wave is equal to the cutoff wavelength of the Gaussian filter, only 50% of the sine wave signal can pass the Gaussian filter. The weight function of the Gaussian filter and the penetration characteristics corresponding to different wavelengths are expressed as follows:

其中S(x)定義為高斯濾波函數,A output /A input 為高斯濾波器傳遞函數,α為常數等於,x為由原點位置的權重函數,λ c 為截止波長。Where S(x) is defined as a Gaussian filter function, A output / A input is a Gaussian filter transfer function, and α is a constant equal to , x is the weight function from the origin position, and λ c is the cutoff wavelength.

為同時檢測三維表面輪廓及粗糙度參數,先以一薄膜樣品為例,軟體計算分析流程如第5圖。首先,以顯微干涉儀搭配數位CCD攝影機擷取一張干涉影像,當施加適當載波訊號的干涉影像經快速傅立葉轉換,可觀察經轉換後的傅立葉空間頻譜有明顯的三個主要諧波,分別是背景訊號的中央頻譜與包含相位資訊互為共軛的兩個旁波,在此為擷取包含相位訊號的旁波,在分析前必須擷取施加適當載波頻率的干涉影像,才可將旁波與背景訊號作分離;其次,經由旁波擷取後並進行快速傅立葉反轉換,則可獲得不連續的測試表面相位資訊,將此不連續的表面相位訊號經相位展開後,即可實現以傅立葉轉換法重建薄膜三維表面輪廓分佈;最後,藉由設定高斯濾波器的截止波長,對重建的三維表面輪廓進行濾波處理,此獲得的薄膜的低頻波紋表面訊號,再與重建後的三維表面輪廓相減,獲得高頻的三維薄膜表面粗糙度輪廓訊號,並可藉此計算薄膜表面平均粗糙度與均方根粗糙度值。吾人利用自行開發的MATLAB程式可重建薄膜3D表面輪廓與粗糙度形貌,此程式的重要處理程序如第6(a)-(h)圖所示。In order to simultaneously detect the three-dimensional surface contour and roughness parameters, a film sample is taken as an example, and the software calculation and analysis process is as shown in FIG. Firstly, a micro-interferometer is used with a digital CCD camera to capture an interference image. When the interference image of the appropriate carrier signal is applied by fast Fourier transform, the converted Fourier space spectrum can be observed with three major harmonics. It is the center spectrum of the background signal and the two side waves that are conjugate with the phase information. Here, the side wave containing the phase signal is extracted, and the interference image to which the appropriate carrier frequency is applied must be extracted before the analysis. The wave is separated from the background signal. Secondly, after the side wave is extracted and the fast Fourier inverse conversion is performed, the discontinuous test surface phase information can be obtained, and the discontinuous surface phase signal is phase-expanded. The Fourier transform method is used to reconstruct the three-dimensional surface contour distribution of the film. Finally, the reconstructed three-dimensional surface contour is filtered by setting the cutoff wavelength of the Gaussian filter, and the obtained low-frequency corrugated surface signal of the film is compared with the reconstructed three-dimensional surface contour. Subtraction, obtaining a high-frequency three-dimensional film surface roughness profile signal, and thereby calculating the film surface level Roughness and root mean square roughness value. We use the self-developed MATLAB program to reconstruct the 3D surface profile and roughness profile of the film. The important processing procedure of this program is shown in Figure 6(a)-(h).

在本發明中,為將所提出的實驗架構應用於不同的微型化元件,擬以檢測球面微透鏡陣列作為驗證,此檢測結果包括三維表面輪廓的形貌還原,以及軸向曲率半徑擬合的檢測。此球面微透鏡陣列以光學影像顯微鏡所量測的結果顯示於第7圖,此測量結果與實際規格球面微透鏡的直徑大小100 μm相近,且球面微透鏡的曲率半徑大小為1.51 mm。In the present invention, in order to apply the proposed experimental architecture to different miniaturized components, it is proposed to verify the spherical microlens array, which includes topographical reduction of the three-dimensional surface profile and axial radius of curvature fitting. Detection. The results of the spherical microlens array measured by an optical image microscope are shown in Fig. 7. This measurement is close to the actual size of the spherical microlens with a diameter of 100 μm, and the radius of curvature of the spherical microlens is 1.51 mm.

在本發明中,可先藉由調整干涉儀的系統架構,使兩端的光程距離保持在等長條件下,並藉由兩個規格皆為λ/20的參考物鏡置於參考端與樣品端中,使參考物鏡與測試物鏡到參考面鏡與測試樣品之間的軸向距離保持固定,此條件下所形成的干涉影像為直條的等厚干涉條紋,可避免干涉儀兩端的物鏡因為軸向距離不同,而引入的軸對稱的曲面誤差發生。其次,經更換樣品端的參考物鏡為測試的球面微透鏡陣列後,藉由調整測試樣品的前後軸向距離,使通過測試物鏡的光可會聚於微透鏡陣列中單一個球面微透鏡上作反射,此條件情況可引入因球面微透鏡表面形貌所導致的波前曲率改變量,而非干涉儀兩端因物鏡軸向距離不匹配所導致的波前曲率改變。最後在滿足上述條件下所擷取的等厚干涉條紋,可再藉由軟體程式分析進行三維表面形貌的還原,並對其進行軸向的曲率半徑擬合。In the present invention, the optical path distance between the two ends can be kept under the same length condition by adjusting the system architecture of the interferometer, and the reference objective lens with two specifications of λ/20 is placed on the reference end and the sample end. The axial distance between the reference objective lens and the test objective lens to the reference mirror and the test sample is kept fixed, and the interference image formed under this condition is a straight strip of equal thickness interference fringe, which avoids the objective lens at both ends of the interferometer because of the axis The distance to the distance is different, and the introduced axisymmetric surface error occurs. Secondly, after the reference objective lens of the sample end is replaced by the spherical microlens array, the light passing through the test objective can be concentrated on a single spherical microlens in the microlens array for reflection by adjusting the axial distance between the test sample and the front and back. This condition can introduce the amount of wavefront curvature change caused by the surface topography of the spherical microlens, and the wavefront curvature change caused by the mismatch of the axial distance of the objective lens at both ends of the interferometer. Finally, the equal-thickness interference fringes obtained under the above conditions can be reconstructed by software program analysis, and the axial radius of curvature is fitted.

第8圖為球面微透鏡三維表面還原與軸向曲率半徑擬合的量測結果,利用本方法所測得的單一球面微透鏡,在微透鏡直徑為100 μm量測範圍內,所測得的x軸向與y軸向曲率半徑分別為1.60 mm與1.51 mm,此量測結果與已知球面微透鏡的曲率半徑大小1.51 mm相近,此結果也可檢視實驗架構量測的準確性。此外,經高斯濾波重建的3D表面粗糙度輪廓與微透鏡x、y軸向的剖面輪廓,此x、y軸向表面的高度分佈,經數值計算可分別得出微透鏡平均粗糙度Ra=0.869 nm及均方根粗糙度Rrms=1.116 nm。Fig. 8 is a measurement result of the three-dimensional surface reduction of the spherical microlens and the axial radius of curvature fitting. The single spherical microlens measured by the method is measured within a measurement range of the microlens diameter of 100 μm. The x-axis and y-axis curvature radii are 1.60 mm and 1.51 mm, respectively. The measurement results are similar to the known spherical microlens with a radius of curvature of 1.51 mm. This result can also be used to examine the accuracy of the experimental architecture measurement. In addition, the 3D surface roughness profile reconstructed by Gaussian filtering and the cross-sectional profile of the x-ray y-axis of the microlens, the height distribution of the x, y axial surface, can be numerically calculated to obtain the average roughness of the microlens R a = 0.869 nm and root mean square roughness R rms = 1.116 nm.

顯微干涉儀一般可分為Michelson、Mirau與Linnik三種架構,如第9圖所示。不同類型的顯微架構可藉由搭配數種不同的光學量測技術,用以測定樣品表面粗糙度,具有精確、非接觸式且可量測大範圍面積等優點。Micro-interferometers can generally be divided into three structures: Michelson, Mirau and Linnik, as shown in Figure 9. Different types of microstructures can be used to determine the surface roughness of a sample by using several different optical metrology techniques. It has the advantages of accurate, non-contact and large-area measurement.

本發明提出的第一種顯微干涉儀架構為改良型的Michelson顯微干涉儀,如第10圖所示,此裝置操作流程說明如下:The first micro-interferometer architecture proposed by the present invention is a modified Michelson micro-interferometer. As shown in FIG. 10, the operation flow of the device is as follows:

首先我們以氦氖雷射(1)作為光源,當雷射光入射經空間濾波器(2)與準直透鏡(3),形成一道平行光,藉由分光鏡(4)可分為兩道強度相等的平行光,其一投射至安裝於一維平臺(6)上的參考鏡面(5),其二經由安裝於一個可單獨控制的一維平移臺上的顯微物鏡(7)後,可藉由調整顯微物鏡(7)的工作距離,使光束會聚形成光錐並投射至物鏡前焦平面位置的微透鏡樣品表面(8)上,此微透鏡樣品為安裝於一個三維的載臺(9),此一維平臺(6)與三維載臺(9)可方便量測時進行位置的取樣,與光程上的調整,且此參考鏡面(5)為安裝於一個傾量平臺上,以便以人工干涉的方法施加所需的空間載波大小。其次,當兩道光束分別經由微透鏡樣品表面(8)與參考鏡面(5)反射,並經由分光鏡(4)重合於成像平面上,經成像透鏡(10)聚束至數位CCD攝影機(11)中形成等厚干涉條紋,最後藉由架設於成像平面上的CCD攝影機(11)用以擷取干涉條紋影像,經影像擷取卡將類比訊號轉為數位訊號儲存至電腦(12)中,以粗糙度量測程式作為分析。First, we use 氦氖 laser (1) as the light source. When the laser light is incident on the spatial filter (2) and the collimating lens (3), a parallel light is formed, which can be divided into two intensity by the beam splitter (4). Equal parallel light, one of which is projected onto a reference mirror (5) mounted on a one-dimensional platform (6), and the second through a microscope objective (7) mounted on a separately controllable one-dimensional translation stage By adjusting the working distance of the microscope objective (7), the light beam is concentrated to form a light cone and projected onto the surface of the microlens sample (8) at the front focal plane position of the objective lens. The microlens sample is mounted on a three-dimensional stage ( 9), the one-dimensional platform (6) and the three-dimensional stage (9) can conveniently perform position sampling and adjustment on the optical path, and the reference mirror (5) is mounted on a tilt platform. In order to apply the required spatial carrier size in a manual intervention. Secondly, when the two beams are respectively reflected by the microlens sample surface (8) and the reference mirror (5), and superposed on the imaging plane via the beam splitter (4), the imaged lens (10) is bunched to the digital CCD camera (11). The equal-strength interference fringes are formed in the image, and finally the CCD camera (11) mounted on the imaging plane is used to capture the interference fringe image, and the analog signal is converted into a digital signal and stored in the computer (12) through the image capture card. The roughness measurement program was used as the analysis.

此改良後的Michelson顯微干涉儀,相較於傳統的Michelson顯微干涉儀,因可使用任意放大倍率與數值孔徑的物鏡,而可有效提高系統的橫向解析度,此雖可有效解析微透鏡表面形貌,但此不對稱的光路架構,除了可能導致樣品端與參考端之間有使用物鏡上的差異,此外也有可能引入光通過物鏡後的光學像差,又因不同檢測直徑的待測光和參考光,因此也會導致干涉的橫向誤差發生。Compared with the traditional Michelson microinterferometer, the modified Michelson microinterferometer can effectively improve the lateral resolution of the system by using an objective lens of any magnification and numerical aperture, which can effectively analyze the microlens. Surface topography, but this asymmetrical optical path architecture may not only result in the use of objective differences between the sample end and the reference end, but also may introduce optical aberrations after the light passes through the objective lens, and the light to be measured with different detection diameters And the reference light, therefore also causes lateral errors of interference to occur.

第二種顯微干涉儀架構為改良型的Linnik顯微干涉儀,如第11圖所示。由於在改良型的Michelson顯微干涉儀中,測試光路與參考光路可能因安裝顯微物鏡(7)的有無,導致兩道光路之間引入物鏡像差,且不同直徑的待測光和參考光,也將導致干涉儀的橫向誤差發生。為此,本發明提出一套改良型Linnik顯微干涉儀裝置,其可在搭配兩個規格相同的第一顯微物鏡(26)與第二顯微物鏡(28)作為檢測樣品的情況下,理論上可有效扣除上述原因所造成的誤差影響。The second microinterferometer architecture is a modified Linnik microinterferometer, as shown in Figure 11. In the modified Michelson microinterferometer, the test optical path and the reference optical path may be due to the presence or absence of the installation of the microscope objective (7), resulting in a difference in the introduction of the image between the two optical paths, and the light to be measured and the reference light of different diameters, It will also cause lateral errors of the interferometer to occur. To this end, the present invention proposes an improved Linnik microinterferometer device which can be used with two first objective lenses (26) and a second microscope objective (28) of the same specification as test samples. In theory, the error effects caused by the above reasons can be effectively deducted.

此一Linnik顯微干涉儀配置結構需注意參考鏡面(27)與樣品表面(8)皆需位於第一顯微物鏡(26)與第二顯微物鏡(28)的前焦平面上,且參考端與樣品端中的第一顯微物鏡(26)與第二顯微物鏡(28),均個別以一個可單獨控制的一維平移臺,藉以調整物鏡的工作距離。此整個參考端也建構在一個傾量平臺與一維平臺組合而成的複合載臺(25)上,此載臺(25)可搭配樣品端的三維載臺(9)作光程上的調整,與人為控制施加的空間載波大小。此經由參考鏡面(27)與樣品表面(8)的反射光,經反射回到第一顯微物鏡(26)與第二顯微物鏡(28)後,此兩道反射光的視場角皆需保持一致,在此條件下可形成等厚的直條干涉條紋,且參考端與測試端反射光的波前曲率也會相互一致。The configuration of the Linnik microinterferometer requires that both the reference mirror (27) and the sample surface (8) be located on the front focal plane of the first microscope objective (26) and the second microscope objective (28), and reference The first microscopic objective lens (26) and the second microscopic objective lens (28) in the end and the sample end are each individually controlled by a single-dimensional translation stage, so as to adjust the working distance of the objective lens. The entire reference end is also constructed on a composite stage (25) which is a combination of a tilt platform and a one-dimensional platform. The stage (25) can be adjusted with the three-dimensional stage (9) at the sample end for optical path adjustment. The amount of spatial carrier applied with human control. The reflected light from the reference mirror (27) and the sample surface (8) is reflected back to the first microscope objective (26) and the second microscope objective (28), and the field of view of the two reflected light is It is necessary to maintain consistency. Under these conditions, straight strip interference fringes can be formed, and the wavefront curvature of the reflected light at the reference end and the test end will also coincide with each other.

改良型的Linnik顯微干涉儀,干涉影像擷取的操作步驟說明如下:The modified Linnik microinterferometer, the operation steps of the interference image capture are as follows:

首先我們以氦氖雷射(1)作為光源,當雷射光入射經空間濾波器(2)與準直透鏡(3),形成一道平行光,當光束經由分光鏡(4)分為兩道強度相等的平行光,其一投射至參考端,其二經由測試端,當平行光束分別透過第一顯微物鏡(26)與第二顯微物鏡(28)時,需同時微調兩個物鏡的工作距離,使光束會聚投射至物鏡前焦平面位置上的參考鏡面(27)與測試的樣品表面(8)上,經參考鏡面(27)與測試表面(8)分別反射回物鏡的測試光與參考光,此兩道反射光的波前曲率需擴束為相同的視場角大小,其次經分光鏡(4)重合與成像透鏡(10)聚束於數位CCD攝影機(21)上形成等厚的直條干涉條紋,再適當調整參考端複合載臺(25)的傾斜角度,以施加所需的空間載波頻率大小,最後再以CCD攝影機(21)擷取干涉條紋影像,經類比訊號轉為數位訊號後,以影像擷取卡儲存至電腦(12)中,最後以粗糙度量測程式作為分析。First, we use 氦氖 laser (1) as the light source. When the laser light enters the spatial filter (2) and the collimating lens (3), it forms a parallel light. When the beam is split into two beams through the beam splitter (4) Equal parallel light, one of which is projected to the reference end, and the other is passed through the test end. When the parallel beam passes through the first microscope objective (26) and the second microscope objective (28), respectively, it is necessary to fine-tune the operation of the two objective lenses simultaneously. The distance, the beam is concentrated and projected onto the reference mirror surface (27) on the front focal plane position of the objective lens and the sample surface (8) of the test, and the test light and reference of the objective lens (27) and the test surface (8) are respectively reflected back to the objective lens. Light, the wavefront curvature of the two reflected lights needs to be expanded to the same angle of view, and secondly by the beam splitter (4) coincident with the imaging lens (10) bunched on a digital CCD camera (21) to form an equal thickness Straight interference fringes, and then adjust the tilt angle of the reference end composite stage (25) to apply the required spatial carrier frequency. Finally, the interference fringe image is captured by the CCD camera (21), and the analog signal is converted to digital. After the signal, save the image capture card to the computer (12), and finally use the thick Measured as a measure of program analysis.

在本發明中,此Linnik顯微架構也可搭配一組倍率不匹配的第一顯微物鏡(26)與第二顯微物鏡(28)作為檢測,但此配置結構的差異,除了需注意參考鏡面(27)與樣品表面(8)需位於兩物鏡(26)與(28)的前焦平面上,且經反射後此兩物鏡(26)與(28)反射光的波前曲率也需保持一致,但由於若搭配一組不匹配的第一顯微物鏡(26)與第二顯微物鏡(28),其因放大倍率與視場角的不同,將導致干涉成像時第一顯微物鏡(26)與第二顯微物鏡(28)的反射光在波前曲率一致下,此兩道光擴束的視場角將會有所不一致,因此此情況將會受限於較小數值孔徑物鏡的視場角大小。此不對稱的量測架構雖也可使用不同放大倍率與任意數值孔徑的物鏡,但也可觀察出因干涉儀兩端使用的物鏡倍率不同,導致物鏡引入的像差發生,此外,因待測光和參考光些許不同的檢測直徑,也將導致干涉的橫向誤差發生,此也會對系統檢測的準確度造成影響。In the present invention, the Linnik micro-architecture can also be combined with a set of first objective lens (26) and second microscope objective (28) with mismatched magnification, but the difference in configuration of the configuration, in addition to the reference The mirror surface (27) and the sample surface (8) need to be located on the front focal planes of the two objective lenses (26) and (28), and the wavefront curvature of the reflected light of the two objective lenses (26) and (28) must also be maintained after being reflected. Consistent, but if a pair of mismatched first microscope objective (26) and second microscope objective (28) are used, the difference between magnification and field of view will result in the first microscope objective during interference imaging. (26) The reflected field of the second microscope objective (28) has the same wavefront curvature, and the field of view of the two beams is different. Therefore, this situation will be limited by the smaller numerical aperture objective. The size of the field of view. Although the asymmetric measurement architecture can also use objective lenses with different magnifications and arbitrary numerical apertures, it can also be observed that the aberrations introduced by the objective lens are different due to different objective magnifications used at both ends of the interferometer, and in addition, due to the light to be measured A slightly different detection diameter than the reference light will also cause lateral errors in the interference, which will also affect the accuracy of the system detection.

以上所述僅為本發明之較佳實施例,凡依本發明申請專利範圍所做之均等變化與修飾,皆應屬本發明之涵蓋範圍。The above are only the preferred embodiments of the present invention, and all changes and modifications made to the scope of the present invention should be within the scope of the present invention.

(1)...氦氖雷射(1). . . Laser

(2)...空間濾波器(2). . . Spatial filter

(3)...準直透鏡(3). . . Collimating lens

(4)...分光鏡(4). . . Beam splitter

(5)...參考鏡面(5). . . Reference mirror

(6)...一維平臺(6). . . One-dimensional platform

(7)...顯微物鏡(7). . . Microscopic objective

(8)...樣品表面(8). . . Sample surface

(9)...三維載台(9). . . Three-dimensional stage

(10)...成像透鏡(10). . . Imaging lens

(11)...CCD攝影機(11). . . CCD camera

(12)...電腦(12). . . computer

(21)...CCD攝影機(twenty one). . . CCD camera

(25)...複合載台(25). . . Composite stage

(26)...第一顯微物鏡(26). . . First microscope objective

(27)...參考物鏡(27). . . Reference objective

(28)...第二顯微物鏡(28). . . Second microscope objective

第1圖為旁波截取示意圖;Figure 1 is a schematic diagram of the side wave interception;

第2圖為二維相位展開示意圖;Figure 2 is a schematic diagram of two-dimensional phase expansion;

第3圖為表面輪廓訊號分離圖;Figure 3 is a surface contour signal separation diagram;

第4圖為高斯濾波器穿透特性圖;Figure 4 is a diagram showing the penetration characteristics of a Gaussian filter;

第5圖為粗糙度分離與計算流程;Figure 5 shows the roughness separation and calculation process;

第6圖為薄膜3D表面輪廓與粗糙度測定;Figure 6 is a measurement of the surface profile and roughness of the film 3D;

第7圖為球面微透鏡陣列光學顯微影像;Figure 7 is an optical microscopic image of a spherical microlens array;

第8圖為球面微透鏡示意圖;Figure 8 is a schematic view of a spherical microlens;

第9圖為三種不同顯微干涉架構圖;Figure 9 is a diagram of three different microscopic interference architectures;

第10圖為改良型的Michelson顯微干涉儀示意圖;以及Figure 10 is a schematic diagram of a modified Michelson microinterferometer;

第11圖為Linnik顯微干涉儀示意圖。Figure 11 is a schematic diagram of the Linnik microinterferometer.

Claims (12)

一種同時檢測三維表面輪廓及光學級表面粗糙度的方法,其步驟包括:提供一光源以照射於待測物表面;獲取一不連續相位差訊號;將不連續相位差訊號改為連續訊號;將連續性相位差訊號予以還原為樣品表面高度變化;以及重建待測物三維表面輪廓資訊。A method for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness, the method comprising: providing a light source to illuminate a surface of the object to be tested; acquiring a discontinuous phase difference signal; and changing the discontinuous phase difference signal to a continuous signal; The continuous phase difference signal is restored to the surface height change of the sample; and the three-dimensional surface contour information of the object to be tested is reconstructed. 如申請專利範圍第1項所述的同時檢測三維表面輪廓及光學級表面粗糙度的方法,其中,將不連續相位差訊號改為連續訊號的步驟是藉由將相位差加或減2π。A method for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness as described in claim 1, wherein the step of changing the discontinuous phase difference signal to a continuous signal is by adding or subtracting a phase difference by 2π. 如申請專利範圍第1項所述的同時檢測三維表面輪廓及光學級表面粗糙度的方法,其中,重建待測物三維表面輪廓資訊的步驟主要是將還原後的連續性相位差乘上λ/4π,其中λ為光源波長。The method for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness as described in claim 1, wherein the step of reconstructing the three-dimensional surface profile information of the object to be tested is mainly by multiplying the reduced continuity phase difference by λ/ 4π, where λ is the wavelength of the source. 如申請專利範圍第1項所述的同時檢測三維表面輪廓及光學級表面粗糙度的方法,其中,不連續相位差訊號是藉由二道視場角保持一致的二道反射光所形成。A method for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness as described in claim 1, wherein the discontinuous phase difference signal is formed by two reflected light beams having uniform viewing angles. 如申請專利範圍第1項所述的同時檢測三維表面輪廓及光學級表面粗糙度的方法,其中,所提供的光源為氦氖雷射或單頻(色)光源。A method for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness as described in claim 1, wherein the light source provided is a neon laser or a single frequency (color) light source. 如申請專利範圍第1項所述的同時檢測三維表面輪廓及光學級表面粗糙度的方法,尚包括對重建後之待測物三維表面輪廓資訊作一濾波的步驟。The method for simultaneously detecting the three-dimensional surface contour and the optical grade surface roughness as described in claim 1 of the patent application further includes the step of filtering the three-dimensional surface contour information of the reconstructed object to be tested. 如申請專利範圍第6項所述的同時檢測三維表面輪廓及光學級表面粗糙度的方法,其中,濾波後的待測物三維表面輪廓資訊是和重建後待測物三維表面輪廓資訊相比較,以獲得待測物表面訊號。The method for simultaneously detecting a three-dimensional surface contour and an optical grade surface roughness as described in claim 6, wherein the filtered three-dimensional surface contour information of the object to be tested is compared with the three-dimensional surface contour information of the object to be tested after reconstruction. Obtain the surface signal of the object to be tested. 一種同時檢測三維表面輪廓及光學級表面粗糙度的裝置,係包括:光源;分光鏡,係將來自光源的光分為二光束;顯微物鏡,使來自分光鏡的二光束分別聚焦;參考鏡面,反射透過顯微物鏡的一光束;待測物表面,反射透過顯微物鏡的另一光束;以及攝影機,係擷取並記錄二光束形成等厚的直條干涉條紋。A device for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness comprises: a light source; a beam splitter splitting the light from the light source into two beams; and a microscope objective lens respectively focusing the two beams from the beam splitter; the reference mirror a beam that reflects through the microscope objective; a surface of the object to be tested that reflects another beam that passes through the microscope objective; and a camera that captures and records the two beams to form a thick strip of interference fringes. 根據申請專利範圍第8項所述的同時檢測三維表面輪廓及光學級表面粗糙度的裝置,其中,該光源是一氦氖雷射或單頻(色)光源。A device for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness according to the scope of claim 8 wherein the light source is a laser or a single-frequency (color) light source. 根據申請專利範圍第8項所述的同時檢測三維表面輪廓及光學級表面粗糙度的裝置,其於光源和分光鏡之間,尚包括空間濾波器和準直透鏡。A device for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness according to claim 8 of the patent application, which includes a spatial filter and a collimating lens between the light source and the beam splitter. 根據申請專利範圍第8項所述的同時檢測三維表面輪廓及光學級表面粗糙度的裝置,其中,該顯微物鏡是包括第一顯微物鏡和第二顯微物鏡。The apparatus for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness according to claim 8 of the patent application, wherein the microscope objective comprises a first microscope objective and a second microscope objective. 根據申請專利範圍第11項所述的同時檢測三維表面輪廓及光學級表面粗糙度的裝置,其中,該參考鏡面與待測物表面皆需位於第一顯微物鏡與第二顯微物鏡的前焦平面上。The apparatus for simultaneously detecting a three-dimensional surface profile and an optical grade surface roughness according to claim 11, wherein the reference mirror surface and the surface of the object to be tested are both located before the first microscope objective and the second microscope objective lens. On the focal plane.
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