TWI485438B - Optical system and reflection type diffraction grating thereof - Google Patents

Optical system and reflection type diffraction grating thereof Download PDF

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TWI485438B
TWI485438B TW099114113A TW99114113A TWI485438B TW I485438 B TWI485438 B TW I485438B TW 099114113 A TW099114113 A TW 099114113A TW 99114113 A TW99114113 A TW 99114113A TW I485438 B TWI485438 B TW I485438B
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grating
optical
optical system
reflective
predetermined output
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TW201140148A (en
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Cheng Hao Ko
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Oto Photonics Inc
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Description

光學系統及其反射型繞射光柵Optical system and its reflective diffraction grating

本發明是有關於一種光學系統,且特別是有關於一種具反射型繞射光柵之光學系統。This invention relates to an optical system, and more particularly to an optical system having a reflective diffraction grating.

物質的組成通常可以用諸多的方法將其分解、離析,以了解其組成的成分,例如礦石的組成、水源所包含的化合物等。上述的分解、離析等,都屬於破壞性的檢測,一般是依需求進行必要的檢測過程。相反地,光譜分析儀則是屬於一種非破壞性的檢測儀器,其主要是利用光反射的原理,以及物質內組成結構對光不同頻段的反射、吸收或穿透程度不同的差異,按照波長排列,不同物質會顯現個別特徵的光譜,進而得到物質的原子、分子等的能階結構、化學鍵性質等多方面物質結構的知識,進而得以辨認物質的成分組成及特性。The composition of a substance can usually be decomposed and isolated by various methods to understand the composition of its composition, such as the composition of the ore, the compound contained in the water source, and the like. The above decomposition, separation, etc. are all destructive tests, and the necessary detection process is generally performed according to requirements. Conversely, the spectrum analyzer is a non-destructive instrument that uses the principle of light reflection and the difference in the degree of reflection, absorption or penetration of different components of the light in the material composition. Different substances will reveal the spectrum of individual features, and then obtain the knowledge of the material structure of the atomic and molecular properties of the substance, the chemical bond properties, etc., and then the composition and characteristics of the substance can be identified.

請參照第1圖,第1圖繪示係為傳統光譜分析儀之示意圖。當光源810所產生的光線900經狹縫820射入光譜分析儀800之後,在自由空間之中射向一準直面鏡830使光線轉為平行光並射向一平面光柵840。經由光柵840之繞射結構842分光後之光線再由聚焦鏡850聚焦後,射向光學感測器860以偵測不同波長之光強度的大小,以產生對應之影像。然而,上述傳統光譜分析儀使用的是一平面光柵,需要準直面鏡與聚焦鏡的配合才能使光線精確的被分光與聚焦,光學元件間需要精確的對位,不僅複雜且使用元件數量過多,經常因為些微的震動就造成光學元件間對位移動,製造與維修成本因此都過高,使用上至為不便,也不利於將光譜分析儀微小化以達到可攜式的目的。Please refer to FIG. 1 , which is a schematic diagram showing a conventional spectrum analyzer. After the light 900 generated by the light source 810 is incident on the spectrum analyzer 800 through the slit 820, it is directed into a collimating mirror 830 in free space to convert the light into parallel light and to be directed toward a planar grating 840. The light split by the diffraction structure 842 of the grating 840 is then focused by the focusing mirror 850 and then directed to the optical sensor 860 to detect the intensity of light of different wavelengths to generate a corresponding image. However, the above conventional spectrum analyzer uses a plane grating, which requires the cooperation of a collimating mirror and a focusing mirror to accurately split and focus the light, and precise alignment between the optical components is required, which is complicated and uses a large number of components. Frequently, due to slight vibration, the alignment between the optical components is caused, and the manufacturing and maintenance costs are too high, which is inconvenient to use, and is not conducive to miniaturizing the spectrum analyzer to achieve the portable purpose.

本發明係有關於一種光學系統。光學系統包括輸入部、預設輸出面及反射型繞射光柵。輸入部用以接收光學訊號。反射型繞射光柵包括光柵輪廓曲面及複數個繞射結構,且繞射結構用以將光學訊號分離為複數個光譜分量。複數個繞射結構分別以複數個光柵間距(Pitch)設置於光柵輪廓曲面上,且至少部份光柵間距係互為不同,根據實際光學模擬,依此原則設計的反射型繞射光柵可以使得光譜分量以實質上垂直於預設輸出面之方式射向預設輸出面。光柵輪廓曲面將光譜分量聚焦於預設輸出面。The present invention relates to an optical system. The optical system includes an input portion, a preset output surface, and a reflective diffraction grating. The input unit is for receiving an optical signal. The reflective diffraction grating includes a grating profile curved surface and a plurality of diffraction structures, and the diffraction structure is used to separate the optical signals into a plurality of spectral components. A plurality of diffraction structures are respectively disposed on the grating contour surface with a plurality of grating pitches, and at least part of the grating pitches are different from each other. According to actual optical simulation, the reflective diffraction grating designed according to the principle can make the spectrum The component is directed toward the preset output face in a manner substantially perpendicular to the preset output face. The raster contour surface focuses the spectral components on the preset output surface.

本發明係有關於一種反射型繞射光柵。反射型繞射光柵包括光柵輪廓曲面及複數個繞射結構,且繞射結構用以將光學訊號分離為複數個光譜分量。複數個繞射結構分別以複數個光柵間距(Pitch)設置於光柵輪廓曲面上,且至少部份光柵間距係互為不同,根據實際光學模擬,依此原則設計的反射型繞射光柵可以使得光譜分量以實質上垂直於預設輸出面之方式射向預設輸出面。光柵輪廓曲面將光譜分量聚焦於預設輸出面。The present invention relates to a reflective diffraction grating. The reflective diffraction grating includes a grating profile curved surface and a plurality of diffraction structures, and the diffraction structure is used to separate the optical signals into a plurality of spectral components. A plurality of diffraction structures are respectively disposed on the grating contour surface with a plurality of grating pitches, and at least part of the grating pitches are different from each other. According to actual optical simulation, the reflective diffraction grating designed according to the principle can make the spectrum The component is directed toward the preset output face in a manner substantially perpendicular to the preset output face. The raster contour surface focuses the spectral components on the preset output surface.

所謂「實質上垂直」係針對複數個光譜分量中的中心波長處而言,使該中心波長處的光譜分量以垂直於預設輸出面之方式射向預設輸出面,並使其他光譜分量在預設輸出面上聚焦時具有一小於一預設值的較佳像差解析度。根據習知的羅蘭圓(Rowland circle)理論,經過一個具有固定光柵間距與圓弧形光柵輪廓曲面的光柵繞射後的光線,將會聚焦在圓弧上而非一個任意的或較易實施的預設輸出面上,並且繞射後的光線與聚焦圓弧切線間幾乎不可能成垂直或接近垂直的相交。基於對羅蘭圓理論的認知,我們了解若要使繞射光線與預設輸出面成實質上垂直的關係,必須開放光柵的設計條件,容許光柵間距為非固定、以及光柵輪廓曲面為非圓弧面,透過光學模擬的方式尋找非固定的光柵間距與非圓弧面的光柵輪廓面,使繞射光線可以實質上垂直於預設輸出面的方式射向預設輸出面,如此不僅繞射效率會更好,預設輸出面也可以不必是難以具體實施的羅蘭圓上的圓弧,而可以是一個容易具體實施的其他輸出面,例如一平面上的一直線,則此一繞射光柵將具有非常高的價值。The so-called "substantially perpendicular" means that the spectral component at the central wavelength is directed toward the preset output surface in a manner perpendicular to the preset output surface for the central wavelength of the plurality of spectral components, and the other spectral components are The preset output surface has a better aberration resolution than a predetermined value when focusing. According to the conventional Rowland circle theory, a light diffracted by a grating with a fixed grating pitch and a circular arc profile curved surface will focus on the arc instead of an arbitrary or easier implementation. It is almost impossible to form a vertical or nearly vertical intersection between the diffracted ray and the focused arc tangential line on the preset output surface. Based on the knowledge of Roland's theory, we understand that if the diffracted ray is to be substantially perpendicular to the pre-set output surface, the design conditions of the grating must be open, the grating spacing is allowed to be non-fixed, and the grating contour surface is non-arc Surface, through the optical simulation to find the non-fixed grating spacing and non-circular surface grating contour surface, so that the diffracted light can be directed to the preset output surface in a manner substantially perpendicular to the preset output surface, so that not only the diffraction efficiency It would be better if the preset output surface does not have to be an arc on the Roland circle that is difficult to implement, but can be other output surfaces that are easy to implement, such as a straight line on a plane, then the diffraction grating will have Very high value.

為讓本發明之上述內容能更明顯易懂,下文特舉一較佳實施例,並配合所附圖式,作詳細說明如下:In order to make the above-mentioned contents of the present invention more comprehensible, a preferred embodiment will be described below, and in conjunction with the drawings, a detailed description is as follows:

下述實施例係有關於一種光學系統及其反射型繞射光柵。光學系統包括輸入部、預設輸出面及反射型繞射光柵。輸入部用以接收光學訊號,且反射型繞射光柵包括光柵輪廓曲面及複數個繞射結構。繞射結構用以將光學訊號分離為複數個光譜分量,且繞射結構分別以複數個光柵間距(Pitch)設置於該光柵輪廓曲面上。至少部份之光柵間距係互為不同,使得光譜分量以實質上垂直於預設輸出面之方式射向預設輸出面。繞光柵輪廓曲面用以將光譜分量聚焦於該預設輸出面。上述所謂「實質上垂直」係針對複數個光譜分量中的中心波長處而言,使該中心波長處的光譜分量以垂直於預設輸出面之方式射向預設輸出面,並使其他光譜分量在預設輸出面上聚焦時具有一小於一預設值的較佳像差解析度。The following embodiments relate to an optical system and its reflective diffraction grating. The optical system includes an input portion, a preset output surface, and a reflective diffraction grating. The input portion is configured to receive an optical signal, and the reflective diffraction grating includes a grating profile curved surface and a plurality of diffraction structures. The diffraction structure is used to separate the optical signal into a plurality of spectral components, and the diffraction structure is respectively disposed on the grating contour surface by a plurality of grating pitches. At least a portion of the grating pitches are different from one another such that the spectral components are directed toward the predetermined output face in a manner substantially perpendicular to the predetermined output face. A raster contour surface is used to focus spectral components onto the predetermined output surface. The above-mentioned "substantially perpendicular" means that the spectral component at the central wavelength is directed toward the preset output surface in a manner perpendicular to the preset output surface for the central wavelength of the plurality of spectral components, and the other spectral components are made. The focus on the preset output surface has a better aberration resolution than a predetermined value.

請同時參照第2圖、第3圖及第4圖,第2圖繪示係為依照本發明實施例之一種光學系統,第3圖繪示係為繞射原理之示意圖。第4圖繪示係為依照本發明實施例之一種反射型繞射光柵。光學系統10例如為光譜分析儀,且光學系統10包括輸入部12、反射型繞射光柵14及光學感測器16。輸入部12例如為狹縫或光纖末端,並用以接收光學訊號L。光學感測器16包括預設輸出面162,預設輸出面162是各波長光線繞射後的各預設聚焦點的連線,並非一個實體的物體,預設輸出面162例如為一平面上的一直線,且例如為電荷耦合元件(Charge Coupled Device,CCD)或互補式金屬-氧化層-半導體(Complementary Metal-Oxide-Semiconductor,CMOS)之光學影像接收面。Please refer to FIG. 2, FIG. 3 and FIG. 4 at the same time. FIG. 2 is an optical system according to an embodiment of the present invention, and FIG. 3 is a schematic diagram of a diffraction principle. Figure 4 is a diagram showing a reflective diffraction grating in accordance with an embodiment of the present invention. The optical system 10 is, for example, a spectrum analyzer, and the optical system 10 includes an input portion 12, a reflective diffraction grating 14, and an optical sensor 16. The input portion 12 is, for example, a slit or an optical fiber end and is used to receive the optical signal L. The optical sensor 16 includes a preset output surface 162. The preset output surface 162 is a line connecting each preset focus point of each wavelength of light, and is not a solid object. The preset output surface 162 is, for example, a plane. The straight line is, for example, a charge coupled device (CCD) or a complementary metal-oxide-semiconductor (CMOS) optical image receiving surface.

反射型繞射光柵14包括光柵輪廓曲面142及複數個繞射結構144。繞射結構144用以將光學訊號L分離為光譜分量L1至Ln,且光譜分量的個數至少大於3。光譜分量L1至Ln分別包括一特定波長範圍內的所有光線,且特定波長範圍可根據光學系統10的解析度來決定。舉例來說,若光學系統10的解析度為1.5奈米(nm),則光譜分量L1可包括一個1.5奈米(nm)波長範圍的所有光線,例如包括400奈米(nm)至401.5奈米(nm)的所有光線,如此則光譜分量L2即包括波長範圍為401.5奈米(nm)至403奈米(nm)的光線,以此類推。光譜分量L1至Ln於預設輸出面162所呈現的半高全寬(Full Width at Half Maximum,FWHM)的解析度係小於一預設值。繞射結構144並不侷限於某種特定形狀,繞射結構144可以例如為三角形、圓形、橢圓形或方形。為方便說明起見,第4圖繪示之繞射結構144之形狀係以相似三角形為例說明。繞射結構144分別以複數個光柵間距(Pitch)設置於光柵輪廓曲面142上。至少部份之光柵間距係互為不同,使得光譜分量L1至Ln以實質上垂直於預設輸出面162之方式射向預設輸出面162。互不相同之光柵間距的個數可視實際設計予以調整,為方便說明起見,第4圖繪示僅以3個互不相同之光柵間距d0至d2為例說明。The reflective diffraction grating 14 includes a grating profile curved surface 142 and a plurality of diffraction structures 144. The diffractive structure 144 is used to separate the optical signal L into spectral components L1 to Ln, and the number of spectral components is at least greater than three. The spectral components L1 to Ln respectively include all rays in a specific wavelength range, and the specific wavelength range can be determined according to the resolution of the optical system 10. For example, if the resolution of the optical system 10 is 1.5 nanometers (nm), the spectral component L1 may include all light in a wavelength range of 1.5 nanometers (nm), including, for example, 400 nanometers (nm) to 401.5 nm. All rays of (nm), such that the spectral component L2 includes light having a wavelength in the range of 401.5 nanometers (nm) to 403 nanometers (nm), and so on. The resolution of the full width Width at Half Maximum (FWHM) of the spectral components L1 to Ln on the preset output surface 162 is less than a preset value. The diffractive structure 144 is not limited to a particular shape, and the diffractive structure 144 can be, for example, triangular, circular, elliptical, or square. For convenience of description, the shape of the diffraction structure 144 illustrated in FIG. 4 is illustrated by a similar triangle. The diffraction structures 144 are respectively disposed on the grating profile curved surface 142 at a plurality of grating pitches (Pitch). At least a portion of the grating pitches are different from one another such that the spectral components L1 through Ln are directed toward the predetermined output face 162 in a manner substantially perpendicular to the predetermined output face 162. The number of different grating spacings can be adjusted according to the actual design. For convenience of description, FIG. 4 illustrates only three different grating spacings d0 to d2 as an example.

前述光柵輪廓曲面142用以將光譜分量L1至Ln聚焦於預設輸出面162。光柵輪廓曲面142進一步包括多個輪廓點,為方便說明起見,第4圖繪示僅以輪廓點P0 至P3 表示。而後序將進一步介紹如何決定光柵輪廓曲面142的輪廓點位置,以達到可以使光譜分量L1至Ln以實質上垂直於預設輸出面162之方式射向預設輸出面162的目的。光柵間距d0至d2分別即為由輪廓點P0 至P1 、P1 至P2 及P2 至P3 之線段長度。The aforementioned grating profile surface 142 is used to focus the spectral components L1 to Ln to the preset output face 162. The grating profile surface 142 further includes a plurality of contour points, and for convenience of explanation, FIG. 4 illustrates only the contour points P 0 to P 3 . The subsequent sequence will further describe how to determine the contour point position of the raster contour surface 142 to achieve the purpose of causing the spectral components L1 to Ln to be directed toward the preset output surface 162 substantially perpendicular to the preset output surface 162. The grating pitches d0 to d2 are the lengths of the line segments from the contour points P 0 to P 1 , P 1 to P 2 , and P 2 to P 3 , respectively.

由於本發明的反射型繞射光柵14包含有光柵輪廓曲面與繞射結構,所以兼具分光及聚焦的功能,因此可取代傳統光學系統中的準直面鏡與聚焦鏡,進而減少光學系統10中元件的使用數量以及複雜的對位問題。此外,由於光譜分量L1至Ln實質上垂直射向預設輸出面16,因此,將可獲得較佳的光學感測品質。Since the reflective diffraction grating 14 of the present invention includes a grating profile curved surface and a diffraction structure, it has the functions of splitting and focusing, and thus can replace the collimating mirror and the focusing mirror in the conventional optical system, thereby reducing the optical system 10 The number of components used and complex alignment issues. Furthermore, since the spectral components L1 to Ln are substantially perpendicularly directed toward the predetermined output face 16, a better optical sensing quality will be obtained.

請參照第5、6及7圖,第5圖繪示係為像差(aberration)之示意圖,第6圖繪示係為一參考點Rk 與中央輪廓點P0 的連線所形成的一個模擬的區域光柵Rk P0 (local grating Rk P0 )的像差特性曲線之示意圖,第7圖繪示係為區域光柵Rk P0 的像差解析度(aberration induced spectral resolution)特性曲線之示意圖。中央輪廓點P0 係為前述光柵輪廓曲面142的中心點,參考點Rk 是光學模擬與調整過程中暫時選擇的下一個輪廓點,當一單一波長光線從一已知的入射角α射向以P0 與Rk 連線的線段長度為光柵間距的模擬的區域光柵Rk P0 時,繞射後在預設聚焦面上的聚焦位置可能會與一理想的聚焦點有一像差。當不同波長光線從一已知的入射角α射向以不同參考點與中央輪廓點P0 所形成模擬的區域光柵的繞射之後,則各模擬的區域光柵各自會造成不同的像差特性曲線,其中所謂理想的聚焦點是指,一單一波長光線從一已知的入射角α,射向一個光柵間距的值為一初始距離d0’的模擬光柵的中央輪廓點P0 時,根據光柵公式(Grating Equation)計算所得的繞射角度β與預設聚焦面的交點位置。舉例來說,假設有一單一波長光線A1其波長為λ1,理想上應射至預設輸出面162之位置y1。然而,依繞射原理該單一波長光線A1經模擬的區域光柵Rk P0 繞射後,以光柵公式計算模擬之,實際上卻射至預設輸出面162之位置y2。位置y2與位置y1間的距離即稱為像差△y1’(aberration)。相似地,假設該單一波長光線A1之波長為λ2,經模擬的區域光柵Rk P0 繞射後,也會對應地形成像差△y2’。將λ1至λn等不同波長的入設光線所對應的像差△y’值在座標面上連接起來即形成第6圖區域光柵Rk P0 的像差特性曲線200。Please refer to Figures 5, 6 and 7, Figure 5 is a schematic diagram showing aberrations, and Figure 6 is a diagram showing a line connecting a reference point R k and a central contour point P 0 . A schematic diagram of the aberration characteristic curve of the simulated region grating R k P 0 (local grating R k P 0 ), and FIG. 7 is a diagram showing the aberration induced spectral resolution characteristic curve of the region grating R k P 0 Schematic diagram. The central contour point P 0 is the center point of the aforementioned grating contour curved surface 142, and the reference point R k is the next contour point temporarily selected during optical simulation and adjustment, when a single wavelength ray is directed from a known incident angle α When the length of the line connecting P 0 and R k is the simulated area grating R k P 0 of the grating pitch, the focus position on the preset focus surface after the diffraction may have an aberration with an ideal focus point. When the different wavelengths of light are emitted from a known angle of incidence α to the diffraction of the simulated area grating formed by the different reference points and the central contour point P 0 , each of the simulated area gratings will have different aberration characteristics. The so-called ideal focus point refers to a single-wavelength ray from a known incident angle α, when the value of a grating pitch is a central distance point P 0 of the simulated grating with an initial distance d0', according to the grating formula (Grating Equation) Calculate the intersection of the diffraction angle β and the preset focal plane. For example, suppose that a single wavelength ray A1 has a wavelength of λ1, which should ideally strike the position y1 of the preset output face 162. However, according to the diffraction principle, the single-wavelength ray A1 is diffracted by the simulated region grating R k P 0 , and is simulated by the grating formula, but actually hits the position y2 of the preset output surface 162. The distance between the position y2 and the position y1 is called aberration Δy1' (aberration). Similarly, assuming that the wavelength of the single-wavelength ray A1 is λ2, after the diffraction of the simulated region grating R k P 0 , the terrain imaging difference Δy2' is also corresponding. The aberration characteristic curve 200 of the sixth image region grating R k P 0 is formed by connecting the aberration Δy' values corresponding to the incident light rays of different wavelengths, such as λ1 to λn, on the coordinate plane.

前述像差△y’可經由光柵公式(Grating Equation)推得像差解析度(aberration induced spectral resolution)。其中,光柵間距d0係為區域光柵Rk P0 的光柵間距;繞射角β為該假設的單一波長光線A1經區域光柵Rk P0 繞射後的角度,其為λ的函數;λ為A1之波長;m 為繞射階數;距離r’為A1之繞射光線由區域光柵Rk P0 繞射至預設輸出面162的距離。在光柵間距d0、繞射角β、波長λ、繞射階數m 及距離r’已知的前提下,每一個像差△y’值都能藉由光柵公式找出對應之像差解析度Δλ A 。換言之,第6圖繪示之像差特性曲線200透過光柵公式可以進一步轉換為第7圖繪示之像差解析度特性曲線300。The aforementioned aberration Δy' can be via the Grating Equation Abbreviated induced spectral resolution . Wherein, the grating pitch d0 is the grating pitch of the region grating R k P 0 ; the diffraction angle β is the angle of the assumed single-wavelength ray A1 after being circulated by the region grating R k P 0 , which is a function of λ; The wavelength of A1; m is the diffraction order; the distance of the diffracted ray whose distance r' is A1 is diffracted by the area grating R k P 0 to the preset output surface 162. Under the premise that the grating pitch d0, the diffraction angle β, the wavelength λ, the diffraction order m and the distance r′ are known, the value of each aberration Δy′ can be found by the grating formula to find the corresponding aberration resolution. Δ λ A . In other words, the aberration characteristic curve 200 illustrated in FIG. 6 can be further converted into the aberration resolution characteristic curve 300 illustrated in FIG. 7 by the grating formula.

為使使光譜分量L1至Ln以實質上垂直於預設輸出面162之方式射向預設輸出面162,首先需如第3圖中根據繞射基本原理,選定待分光的光譜分量L1至Ln中的一中心波長光線、擇定一入射角、並依下述方式選定一初始距離d0’作為繞射基本原理中的一個固定間距的光柵之間距,代入光柵公式即可得到該中心波長光線的繞射角β。得到中心波長光線的繞射角β之後,即可將預設輸出面設定在與該中心波長之繞射光線相垂直的角度上,回頭開放光柵的設計條件,容許變動光柵間距為非固定、並容許變動光柵輪廓曲面,透過光學模擬尋找反射型繞射光柵14之光柵輪廓曲面142上的輪廓點所在位置,使所有波長的入射線經過模擬後的光柵的繞射之後,都可得到一小於一預定值的較佳的像差解析度。反射型繞射光柵14之光柵輪廓曲面142上的輪廓點所在位置可以從中央輪廓點P0 為基準點出發,透過光學模擬反覆調整光柵間距與區域的光柵輪廓(local grating profile),尋找出像差解析度Δλ A 小於一預定值的位置點作為較佳的次一輪廓點P1 所在位置,再從輪廓點P1 為基準點出發,以同樣的光學模擬反覆調整光柵間距與區域的光柵輪廓,尋找出像差解析度Δλ A 小於一預定值的位置點作為較佳再次一個的輪廓點P2 所在位置,如此重複,直到反射型繞射光柵14之光柵輪廓曲面142被不同光柵間距的區域光柵輪廓佈滿為止,如此求得的反射型繞射光柵14將會是以光學模擬法所能求得的較佳光柵,其與一假想上應該實質垂直射向預設輸出面162的理想光柵間具有小於一預定值的像差解析度。In order to cause the spectral components L1 to Ln to be directed to the preset output surface 162 in a manner substantially perpendicular to the preset output surface 162, firstly, according to the basic principle of diffraction, the spectral components L1 to Ln to be split are selected as shown in FIG. a central wavelength ray, an incident angle is selected, and an initial distance d0' is selected as a fixed pitch grating spacing in the basic principle of diffraction, and the grating wavelength formula is substituted to obtain the central wavelength ray. The diffraction angle β. After obtaining the diffraction angle β of the central wavelength light, the preset output surface can be set at an angle perpendicular to the diffracted ray of the central wavelength, and the design condition of the open grating is allowed to be turned, and the variable grating spacing is allowed to be non-fixed, and The grating profile curved surface is allowed to be changed, and the position of the contour point on the grating contour surface 142 of the reflective diffraction grating 14 is obtained through optical simulation, so that after the diffraction of all wavelengths of the incident ray through the simulated grating, one less than one can be obtained. The preferred aberration resolution of the predetermined value. The position of the contour point on the grating contour surface 142 of the reflective diffraction grating 14 can be determined from the central contour point P 0 as a reference point, and the grating spacing and the local grating profile are repeatedly adjusted by optical simulation to find an image. The position where the difference resolution Δ λ A is smaller than a predetermined value is taken as the position of the preferred second contour point P 1 , and then the contour point P 1 is used as the reference point, and the grating spacing and the area grating are repeatedly adjusted by the same optical simulation. The contour is searched for a position where the aberration resolution Δ λ A is smaller than a predetermined value as the position of the contour point P 2 which is preferably one more, and thus repeated until the grating profile curved surface 142 of the reflective diffraction grating 14 is separated by a different grating pitch. The area of the grating is full, and the thus obtained reflective diffraction grating 14 will be a preferred grating which can be obtained by optical simulation, which is supposed to be substantially perpendicular to the predetermined output surface 162. The ideal grating has an aberration resolution of less than a predetermined value.

以下說明如何反覆調整光柵間距與區域光柵輪廓。首先說明光學模擬與調整過程中暫時選擇的輪廓點─即參考點Rij 的符號意義,其中的指示符號i代表第i次的調整,指示符號j代表第j個參考點,因此Rij 即代表第i次調整時所選擇的複數個參考點中的第j個。The following explains how to adjust the grating pitch and area raster profile repeatedly. First, the symbolic point of the temporarily selected contour point in the optical simulation and adjustment process, that is, the reference point R ij , in which the indicator i represents the ith adjustment and the indicator j represents the jth reference point, the R ij represents The jth of the plurality of reference points selected at the time of the i-th adjustment.

請同時參照第8圖、第9圖及第10圖,第8圖繪示係為中央輪廓點P0 與參考點R1l 至R1m 之示意圖,第9圖繪示係為參考點R1l 至R1m 與輪廓點P0 之連線所形成的模擬的區域光柵R1l P0 至R1m P0 的像差特性曲線之示意圖,第10圖繪示係為模擬的區域光柵R1l P0 至R1m P0 的像差解析度特性曲線之示意圖。前述光柵輪廓曲面142的中央輪廓點P0 係為為光柵輪廓曲面142的中心點,為了決定前述光柵輪廓曲面142的次一輪廓點P1 ,通常先從縱向上離中央輪廓點P0 一初始距離d0’的一個參考點出發。Please refer to FIG. 8 , FIG. 9 and FIG. 10 at the same time. FIG. 8 is a schematic diagram showing a central contour point P 0 and reference points R 1l to R 1m , and FIG. 9 is a reference point R 1l to A schematic diagram of the aberration characteristic curve of the simulated area grating R 1l P 0 to R 1m P 0 formed by the line connecting R 1m and the contour point P 0 , and FIG. 10 is a simulated area grating R 1l P 0 to Schematic diagram of the aberration resolution characteristic curve of R 1m P 0 . The central contour point P 0 of the grating contour surface 142 is the center point of the grating contour surface 142. In order to determine the second contour point P 1 of the grating contour surface 142, it is usually initially from the longitudinal direction from the central contour point P 0 . Depart from a reference point of d0'.

需說明的是,初始距離d0’通常可由製程極限決定,尋找P1 時選擇的初始距離d0’的等級(order)會決定最後每一個光柵結構144的光柵間距的等級,若初始距離d0’大約是數微米的等級,以光學模擬決定的每一個光柵結構144的光柵間距就大約也是數微米的等級,一般不會是數十微米的等級,然而初始距離d0’也是一個跟一光學系統的整體解析度(total spectral resolution)相關的參數,較小的初始距離d0’值理論上可以得到較佳的整體解析度,但是製程上是否可以做出那樣微小的光柵會是個問題,因此模擬上會遷就製程極限,選擇一個製程極限上可以達成的最小等級的初始距離d0’值來作為尋找P1 時選擇的第一個距離值。以目前的半導體蝕刻製程技術來說,製作以半導體基底材料作為材質的繞射光柵所面臨的製程極限約為數微米,因此選擇數微米的初始距離d0’值會是實際上較可行的,到了次微米等級雖然整體解析度表現可能較佳,但已經是現有半導體蝕刻技術很難控制得很好的程度了。It is noted that, an initial distance D0 'can generally be process limits determined, to find the initial distance d0 P 1 is selected apos level (Order) will determine the end of each one raster hierarchy grating pitch 144, if the initial distance D0' about It is a few micrometers. The grating pitch of each grating structure 144 determined by optical simulation is also about a few micrometers. It is generally not a tens of micrometers. However, the initial distance d0' is also a whole with an optical system. The parameters related to total spectral resolution, the smaller initial distance d0' value can theoretically obtain a better overall resolution, but whether such a small grating can be made in the process will be a problem, so the simulation will be accommodated. process limit, the limit may be reached by selecting a process from the initial minimum level d0 'value as a distance value to find first the selection of P 1. In the current semiconductor etching process technology, the process limit for fabricating a diffraction grating made of a semiconductor substrate material is about several micrometers. Therefore, it is actually feasible to select the initial distance d0' of several micrometers. Although the overall resolution of the micron scale may be better, it is already difficult to control the existing semiconductor etching technology.

因此,光學模擬可以選擇從縱向上離中央輪廓點P0 一初始距離d0’的位置作為起始基準點,於通過該基準點與x軸平行的橫向上嘗試選擇m個參考點R1l 至R1m ,參考點R1l 至R1m 的選擇方式可以是從基準點出發互相距離一固定距離的m個點,後續的模擬也可以用相同方式選擇該次模擬的複數個參考點,但上述的固定距離可以在一次次的模擬間逐漸縮小以因應最終收斂的現象或做其他適當的變動。參考點R1l 至R1m 與中央輪廓點P0 所連成的m條線段長度各別代表光學模擬時的一個模擬的區域光柵(local grating)R1l P0 到R1m P0 的光柵間距,根據光柵公式,該m個模擬的區域光柵R1l P0 到R1m P0 分別會造成m個不同程度的像差,將不同波長的光線所造成的像差值記錄下來即會形成如第9圖所繪示的△y’(h)的m條像差特性曲線400(l)至400(m),而區域光柵R1l P0 到R1m P0 所對應之像差特性曲線400(l)至400(m)透過光柵公式可以進一步轉換為第10圖繪示之像差解析度特性曲線500(l)至500(m)。Therefore, the optical simulation can select a position from the longitudinal direction point P 0 - an initial distance d0' as a starting reference point, and try to select m reference points R 1l to R in a lateral direction parallel to the x-axis through the reference point. 1m , the reference point R 1l to R 1m can be selected from the reference point by a fixed distance from the reference point m points, the subsequent simulation can also select the multiple reference points of the simulation in the same way, but the above fixed The distance can be gradually reduced between simulations in order to respond to the final convergence or other appropriate changes. The lengths of the m line segments connected by the reference points R 1l to R 1m and the central contour point P 0 respectively represent the grating pitch of a simulated region grating (local grating) R 1l P 0 to R 1m P 0 during optical simulation. According to the grating formula, the m simulated regional gratings R 1l P 0 to R 1m P 0 respectively cause m different degrees of aberration, and the aberrations caused by the different wavelengths of light are recorded as the ninth. The m aberration characteristics 400(l) to 400(m) of Δy'(h) are plotted, and the aberration characteristic curve 400 corresponding to the region grating R 1l P 0 to R 1m P 0 ) to 400 (m) through the grating formula can be further converted into the aberration resolution characteristic curves 500 (1) to 500 (m) shown in FIG.

為了獲得較佳的聚焦效果,可由像差解析度特性曲線500(l)至500(m)中找出一較佳的像差解析度特性曲線500(i),並選擇形成像差解析度特性曲線500(i)的參考點R1i 做為區域較佳的參考點,上述所謂較佳的像差解析度的定義,可以簡單的根據各波長的像差解析度的和來比較,或是簡單的從所有小於一預設值的特性曲線中挑選一個,或是另外設定一判斷標準後依該標準來選擇。選定R1i 做為第一次模擬的區域較佳的參考點後,後續可以再以R1i 為基準點進行第二次光學模擬與調整,在通過參考點R1i 的縱軸方向上選擇n個參考點R2l 到R2n 加以模擬,以相同方法選擇一具有較佳的像差解析度的另一個區域較佳參考點R2j ,再換成以R2j 為基準點進行第三次光學模擬與調整,繼續重複相同的方法分別在橫向與縱向上變動參考點的位置,持續選擇一具有較佳的像差解析度的最新區域較佳參考點,直到收斂為止。In order to obtain a better focusing effect, a preferred aberration resolution characteristic curve 500(i) can be found from the aberration resolution characteristic curves 500(1) to 500(m), and the aberration resolution characteristic is selected. The reference point R 1i of the curve 500(i) is used as a preferred reference point for the region. The definition of the above-mentioned preferred aberration resolution can be simply compared according to the sum of the aberration resolutions of the respective wavelengths, or simply Select one of all the characteristic curves smaller than a preset value, or select another judgment standard and select according to the standard. After selecting R 1i as the preferred reference point for the region of the first simulation, the second optical simulation and adjustment can be performed with R 1i as the reference point, and n are selected in the direction of the longitudinal axis passing through the reference point R 1i . The reference points R 2l to R 2n are simulated, and another region with a better aberration resolution is selected in the same way as a preferred reference point R 2j , and then replaced with R 2j as a reference point for the third optical simulation and Adjust, continue to repeat the same method to change the position of the reference point in the horizontal and vertical directions, and continuously select a new region preferred reference point with better aberration resolution until convergence.

請同時參照第11圖、第12圖及第13圖,第11圖繪示係為中央輪廓點P0 、參考點R1l 至R1m 、參考點R2l 至R2n 及參考點R3l 至R3p 之示意圖,第12圖繪示係為參考點R2l 至R2n 與中央輪廓點P0 的連線所形成n個模擬的區域光柵R2l P0 到R2n P0 的像差特性曲線之示意圖,第13圖繪示係為n個模擬的區域光柵R2l P0 到R2n P0 的像差解析度特性曲線之示意圖。當區域較佳的參考點R1i 找到後,繼續以參考點R1i 為基準點進行第二次光學模擬與調整,並於通過參考點R1i 的縱軸方向上嘗試選擇n個參考點R2l 至R2n 。需說明的是,由於參考點R1i 本身也有可能是參考點R2l 至R2n 中的一個參考點,因此為方便說明起見,在第11圖繪示中係以參考點R1i 同時為參考點R2l 為例說明。Please refer to FIG. 11 , FIG. 12 and FIG. 13 simultaneously. FIG. 11 shows the central contour point P 0 , reference points R 1l to R 1m , reference points R 2l to R 2n and reference points R 3l to R 3p is a schematic diagram, and FIG. 12 is a diagram showing aberration characteristics of n simulated area gratings R 2l P 0 to R 2n P 0 formed by the connection of the reference points R 2l to R 2n and the central contour point P 0 . Schematic diagram, FIG. 13 is a schematic diagram showing the aberration resolution characteristic curves of the n simulated region gratings R 2l P 0 to R 2n P 0 . After the region's preferred reference point R 1i is found, the second optical simulation and adjustment is continued with the reference point R 1i as a reference point, and an attempt is made to select n reference points R 2l through the longitudinal axis direction of the reference point R 1i . To R 2n . It should be noted that since the reference point R 1i itself may also be one of the reference points R 2l to R 2n , for convenience of description, in the drawing of FIG. 11 , the reference point R 1i is simultaneously used as a reference. Point R 2l is taken as an example.

相似地,n個模擬的區域光柵R2l P0 到R2n P0 所形成的像差△y’(w)係如第11圖所繪示,且n個模擬的區域光柵R2l P0 到R2n P0 所對應之像差特性曲線600(l)至600(n)透過光柵公式可以進一步轉換為第12圖繪示之像差解析度特性曲線700(l)至700(n)。為了獲得較佳的聚焦效果,可由像差解析度特性曲線700(l)至700(n)中找出一較佳的像差解析度的特性曲線700(j),並選擇形成像差解析度特性曲線700(j)的參考點R2j 為區域較佳參考點。Similarly, the aberration Δy'(w) formed by the n simulated region gratings R 2l P 0 to R 2n P 0 is as shown in FIG. 11 , and n simulated region gratings R 2l P 0 to The aberration characteristic curves 600(1) to 600(n) corresponding to R 2n P 0 can be further converted into the aberration resolution characteristic curves 700(1) to 700(n) shown in FIG. 12 by the grating formula. In order to obtain a better focusing effect, a better aberration resolution characteristic curve 700(j) can be found from the aberration resolution characteristic curves 700(1) to 700(n), and the aberration resolution is selected. The reference point R 2j of the characteristic curve 700(j) is a region preferred reference point.

跟著,再以參考點R2j 為基準點進行第三次光學模擬與調整,並於通過參考點R2j 的橫軸方向上嘗試選擇p個參考點R3l 至R3p 。需說明的是,由於參考點R2j 本身也有可能是參考點R3l 至R3p 中的一個參考點,因此為方便說明起見,在第11圖繪示中係以參考點R2j 同時為參考點R3v 為例說明。相似地,根據參考點R3l 至R3p 與中央輪廓點P0 之連線所形成的p個模擬的區域光柵R3l P0 到R3p P0 也能找出對應的p數條像差特性曲線,將這些像差特性曲線透過光柵公式可以進一步轉換為p數條像差解析度特性曲線。為了獲得較佳的聚焦效果,可由這複數條像差解析度特性曲線中找出一較佳的像差解析度的特性曲線,並選擇形成此像差解析度特性曲線的參考點R3k 為區域較佳參考點。Subsequently, the third optical simulation and adjustment is performed with reference point R 2j as a reference point, and p reference points R 3l to R 3p are attempted to be selected in the horizontal axis direction through the reference point R 2j . It should be noted that since the reference point R 2j itself may also be a reference point among the reference points R 3l to R 3p , for convenience of description, in the drawing of FIG. 11 , the reference point R 2j is simultaneously referred to. Point R 3v is taken as an example. Similarly, according to the reference point R 3l p R 3p analog contour point P 0 and the center of the connection region formed by the grating R 3l P 0 to R 3p P 0 can find p aberration characteristics corresponding to the number of Curves, these aberration characteristics can be further converted into p-number aberration resolution curves by passing through the grating formula. In order to obtain a better focusing effect, a characteristic curve of the preferred aberration resolution can be found from the plurality of aberration resolution characteristic curves, and the reference point R 3k forming the aberration resolution characteristic curve is selected as the region. Preferred reference point.

請參照第14圖、第15圖及第16圖,第14圖繪示係為中央輪廓點P0 、參考點R1l 至R1m 、參考點R2l 至R2n 、參考點R3l 至R3p 、參考點R4l 至R4q 及參考點R5l 至R5r 之示意圖,第15圖繪示係為中央輪廓點P0 、輪廓點P1 及輪廓點P2 之示意圖,第16圖繪示係為中央輪廓點P0 、輪廓點P1 、輪廓點P2 及繞射結構之示意圖。Please refer to FIG. 14 , FIG. 15 and FIG. 16 . FIG. 14 illustrates a central contour point P 0 , reference points R 1l to R 1m , reference points R 2l to R 2n , and reference points R 3l to R 3p . A schematic diagram of reference points R 4l to R 4q and reference points R 5l to R 5r , and FIG. 15 is a schematic diagram showing a central contour point P 0 , a contour point P 1 and a contour point P 2 , and FIG. 16 depicts a system It is a schematic diagram of the central contour point P 0 , the contour point P 1 , the contour point P 2 and the diffraction structure.

當區域較佳的參考點R3k 找到後,繼續以參考點R3k 為基準點進行第四次光學模擬與調整,並於通過參考點R3k 的縱軸方向上嘗試選擇q個參考點R4l 至R4q 。需說明的是,由於參考點R3k 本身也有可能是參考點R4l 至R4q 中的一個參考點,因此為方便說明起見,在第14圖繪示中係以參考點R3k 同時為參考點R4s 為例說明。相似地,根據參考點R4l 至R4q 與中央輪廓點P0 之連線所形成的q個模擬的區域光柵R4l P0 到R4q P0 也能找出對應的q數條像差特性曲線,將這些像差特性曲線透過光柵公式可以進一步轉換為q條像差解析度特性曲線。為了獲得較佳的聚焦效果,可由這複數條像差解析度特性曲線中找出一較佳的像差解析度的特性曲線,並選擇形成此像差解析度特性曲線的參考點R4t 為區域較佳參考點。After the region's preferred reference point R 3k is found, the fourth optical simulation and adjustment is continued with the reference point R 3k as a reference point, and the q reference points R 4l are attempted to be selected in the longitudinal direction of the reference point R 3k . To R 4q . It should be noted that since the reference point R 3k itself may also be a reference point among the reference points R 4l to R 4q , for convenience of explanation, in the drawing of FIG. 14 , the reference point R 3k is simultaneously used as a reference. Point R 4s is taken as an example. Similarly, according to q analog reference point R 4l R 4q to the contour point P 0 of the central connecting region formed with a grating R 4l P 0 to R 4q P 0 can find q aberration characteristics corresponding to the number of Curves, these aberration characteristic curves can be further converted into q aberration resolution characteristic curves by passing through the grating formula. In order to obtain a better focusing effect, a characteristic curve of a preferred aberration resolution can be found from the plurality of aberration resolution characteristic curves, and a reference point R 4t forming the aberration resolution characteristic curve is selected as a region. Preferred reference point.

跟著,再以參考點R4t 為基準點進行第五次光學模擬與調整,並於通過參考點R4t 的橫軸方向上嘗試選擇r個參考點R5l 至R5r 。需說明的是,由於參考點R4t 本身也有可能是參考點R5l 至R5r 中的一個參考點,因此為方便說明起見,在第14圖繪示中係以參考點R4t 同時為參考點R5u 為例說明。相似地,根據參考點R5l 至R5r 與中央輪廓點P0 之連線所形成的r個模擬的區域光柵R5l P0 到R5r P0 也能找出對應的r數條像差特性曲線,將這些像差特性曲線透過光柵公式可以進一步轉換為r條像差解析度特性曲線。為了獲得較佳的聚焦效果,可由這複數條像差解析度特性曲線中找出一較佳的像差解析度的特性曲線,並選擇形成此像差解析度特性曲線的參考點R5r 為區域較佳參考點。Subsequently, the fifth optical simulation and adjustment is performed with reference point R 4t as a reference point, and r reference points R 5l to R 5r are attempted to be selected in the horizontal axis direction through the reference point R 4t . It should be noted that since the reference point R 4t itself may also be a reference point among the reference points R 5l to R 5r , for convenience of description, the reference point R 4t is simultaneously referred to in the drawing of FIG. 14 . Point R 5u is taken as an example. Similarly, the reference point r to the analog R 5l R 5r contour point P 0 and the center of the connection region formed by the grating R 5l P 0 to R 5r P 0 r can find aberration characteristics corresponding to the number of Curves, these aberration characteristic curves can be further converted into r aberration resolution characteristic curves by passing through the grating formula. In order to obtain a better focusing effect, a characteristic curve of a preferred aberration resolution can be found from the plurality of aberration resolution characteristic curves, and a reference point R 5r forming the aberration resolution characteristic curve is selected as a region. Preferred reference point.

藉由反覆地重複上述步驟,將可發現參考點橫向及縱向可調整的距離會越來越小而有逐漸收斂的趨勢,當參考點在橫向及縱向可調整的距離逐漸減少至一預設值時,則將此參考點做為光柵輪廓曲面142上的輪廓點P1 ,其後再以P1 為尋找P2 的出發點,根據上述設定參考點反覆模擬與調整方法,找出較佳的下一個輪廓點P2 。而光柵輪廓曲面142上的其他輪廓點也可藉由上述相同的方式來決定。當前述光柵輪廓曲面142上的所有輪廓點決定後,即可在兩兩輪廓點之線段上佈上相似三角形、方形或其他適當結構來形成繞射結構144,而所有輪廓點的連線則為光柵輪廓曲面本身。如此一來,即能實現上述反射型繞射光柵14。By repeating the above steps repeatedly, it can be found that the lateral and longitudinal adjustable distances of the reference point become smaller and gradually converge, and the reference point is gradually reduced to a preset value in the horizontal and vertical adjustable distances. When the reference point is taken as the contour point P 1 on the raster contour surface 142, and then P 1 is used as the starting point for finding P 2 , according to the above-mentioned set reference point, the simulation and adjustment method are repeated to find the better one. A contour point P 2 . Other contour points on the raster contour surface 142 can also be determined in the same manner as described above. When all the contour points on the grating contour surface 142 are determined, a similar triangle, square or other suitable structure may be placed on the line segments of the two contour points to form the diffraction structure 144, and the connection lines of all the contour points are The raster contour surface itself. In this way, the above-described reflective diffraction grating 14 can be realized.

需附帶說明的是,根據實際模擬結果,最後擇定的輪廓點P1 的位置事實上會非常接近甚至等於縱軸上離中央輪廓點P1 一初始距離d0’的位置點,其原因是第5圖中的理想聚焦點y1就是以一個光柵間距等於初始距離d0’的模擬光柵代入光柵公式得到的,因此當以上述縱軸上離中央輪廓點P1 一初始距離d0’的位置點作為模擬的起始點時,那一點幾乎就是像差最小的收斂點。然而,當越往光柵輪廓曲面的外圍尋找輪廓點時,像差值就有越大的趨勢,最後收斂處就也會有離前一個輪廓點越遠的趨勢,以半導體蝕刻製程在以矽為基底的材質上刻製光柵結構為例,若d0’選擇2.5微米,則P0 跟P1 的距離大約就是2.5微米,但最外圍的光柵結構的光柵間距可能會達3到4微米甚至更大。It should be noted that, according to the actual simulation result, the position of the finally selected contour point P 1 is actually very close to or even equal to the position on the vertical axis from the central contour point P 1 and an initial distance d0'. over the focusing point 5 in FIG. y1 is to a grating pitch equal to the initial distance d0 'analog raster substituting the grating equation obtained, thus when to leave the central contour points P 1 an initial distance d0 on said longitudinal axis' of the position of the point as an analog At the starting point, that point is almost the convergence point with the smallest aberration. However, when the contour point is searched for the outer periphery of the grating contour surface, the aberration value tends to be larger, and finally the convergence point will have a tendency to be farther from the previous contour point, and the semiconductor etching process is For example, if the d0' is 2.5 microns, the distance between P 0 and P 1 is about 2.5 microns, but the grating spacing of the outermost grating structure may be 3 to 4 microns or more. .

本發明之反射型繞射光柵因具有一非平面之光柵輪廓曲面以及互不相等的光柵間距,傳統以精密的鑽石刀在平面式的金屬或玻璃表面上刻製繞射結構的方法,變得不再適合,其原因至少包含鑽石刀難以變動刻製的間距以及難以在非平面的物質表面操作,因此本發明的反射型繞射光柵較適當的製程與材質的選擇會是以半導體基底材料(例如矽或三五族半導體材料)為其材質,以蝕刻方式在晶圓垂直面上往下蝕刻出光柵輪廓曲面與光柵結構,之後再從晶圓上切割出來。The reflective diffraction grating of the present invention has a non-planar grating profile surface and unequal grating pitches, and a conventional diamond knife is used to engrave a diffraction structure on a planar metal or glass surface. It is no longer suitable, the reason for which at least the pitch of the diamond knife is difficult to change and the surface of the non-planar material is difficult to operate. Therefore, the selection of the appropriate diffraction process of the reflective diffraction grating of the present invention is based on the semiconductor substrate material ( For example, bismuth or three-five semiconductor materials are etched to etch the grating profile surface and the grating structure on the vertical plane of the wafer, and then cut out from the wafer.

請參照第17圖、第18圖及第19圖,第17圖繪示依照本發明實施例之一種光學系統之立體分解圖,第18圖繪示係光線於第17圖光學系統之光通道中行進的示意圖,第19圖繪示係第17圖中消光元件之消光機制的示意圖。前述光學系統10進一步更可包括上波導板120、下波導板130、第一消光元件270與第二消光元件272。Referring to FIG. 17, FIG. 18 and FIG. 19, FIG. 17 is an exploded perspective view of an optical system according to an embodiment of the present invention, and FIG. 18 is a view showing light rays in an optical channel of the optical system of FIG. Schematic diagram of the travel, and Fig. 19 is a schematic view showing the extinction mechanism of the extinction element in Fig. 17. The optical system 10 further includes an upper waveguide plate 120, a lower waveguide plate 130, a first extinction element 270, and a second extinction element 272.

下波導板130係實質上平行於上波導板120設置。上波導板120具有第一反射面122,而下波導板130具有與第一反射面122相對之第二反射面132。第一反射面122與第二反射面132之間係形成光通道140,使來自於輸入部12之光學訊號50如第18圖所示在光通道140內行進。上述第一反射面122與第二反射面132間形成之光通道140一般為空腔式,有別於光線在光纖中傳送所採用的全反射原理,本發明係將光學訊號限制在該些反射面間反覆反射而向前傳送,但亦可填滿適當的介質(例如玻璃、塑膠、或壓克力等)供光學訊號在當中反覆反射而向前傳送、同時防止落塵或其他污染物累積在上下波導板之上而影響波導板之平整度與反射率。The lower waveguide plate 130 is disposed substantially parallel to the upper waveguide plate 120. The upper waveguide plate 120 has a first reflective surface 122, and the lower waveguide plate 130 has a second reflective surface 132 opposite the first reflective surface 122. An optical channel 140 is formed between the first reflective surface 122 and the second reflective surface 132 such that the optical signal 50 from the input portion 12 travels within the optical channel 140 as shown in FIG. The optical channel 140 formed between the first reflective surface 122 and the second reflective surface 132 is generally of a cavity type, which is different from the principle of total reflection used for transmitting light in the optical fiber. The present invention limits optical signals to the reflections. The surface is reflected back and forwarded, but it can also be filled with a suitable medium (such as glass, plastic, or acrylic) for the optical signal to be reflected and forwarded forward, while preventing dust or other pollutants from accumulating. The upper and lower waveguide plates affect the flatness and reflectivity of the waveguide plate.

前述上波導板120與下波導板130必須具有良好的平整度與反射率,才可使光學訊號50在上波導板120與下波導板130之間行進時,達到最低的損耗與最佳的光源集中效果。因此,上波導板120及下波導板130之材質例如是不鏽鋼、矽晶片、玻璃、光碟片或硬碟片。此外,如果上波導板120及下波導板130所使用之材料反射率未達所需之標準,可在第一反射面122與第二反射面132上分別設置一層高反射膜以解決此問題,較佳地高反射膜之材料為鋁膜。The upper waveguide plate 120 and the lower waveguide plate 130 must have good flatness and reflectivity, so that the optical signal 50 can travel between the upper waveguide plate 120 and the lower waveguide plate 130 to achieve the lowest loss and the best light source. Concentrate the effect. Therefore, the material of the upper waveguide plate 120 and the lower waveguide plate 130 is, for example, stainless steel, tantalum wafer, glass, optical disk or hard disk. In addition, if the material reflectance of the upper waveguide plate 120 and the lower waveguide plate 130 is less than the required standard, a high-reflection film may be disposed on the first reflective surface 122 and the second reflective surface 132 to solve the problem. Preferably, the material of the highly reflective film is an aluminum film.

為了防止第一反射面122與第二反射面132之表面隨著時間發生氧化、鏽蝕、粗糙等情形,而降低反射面表面之平整度與反射率,可在第一反射面122與第二反射面132之高反射膜上分別設置第一保護膜與第二保護膜,保護膜的材料例如是二氧化矽。In order to prevent oxidation, rust, roughness, etc. of the surfaces of the first reflective surface 122 and the second reflective surface 132 over time, the flatness and reflectivity of the surface of the reflective surface are reduced, and the first reflective surface 122 and the second reflective surface are A first protective film and a second protective film are respectively disposed on the high-reflection film of the surface 132, and the material of the protective film is, for example, cerium oxide.

第1圖繪示之傳統光譜分析儀800其光線於內部腔體傳送,很可能有發散而造成光訊號太弱致受到雜散光過度干擾的問題,而且傳統光譜分析儀800佔用的體積較大。藉由使光學訊號50於光通道140行進,可使得光學系統10之光線更為集中,不易發散,可以有效地提高光學系統之效率。此外,由於本實施例之光學系統10還可以另外加上第一消光元件270與第二消光元件272,因而較不會受到雜散光之影響,故更可讓光學感測器16產生更精確的影像,當對應影像傳給後級電路時,後續以不同波長之光強度進行光學訊號所代表的物理或生化意義之判斷的正確度可以更加提高。The traditional spectrum analyzer 800 shown in FIG. 1 transmits light in the internal cavity, and is likely to have divergence, which causes the optical signal to be too weak to be excessively interfered by stray light, and the conventional spectrum analyzer 800 occupies a large volume. By causing the optical signal 50 to travel on the optical channel 140, the light of the optical system 10 can be concentrated and not easily diverged, which can effectively improve the efficiency of the optical system. In addition, since the optical system 10 of the embodiment can additionally add the first extinction element 270 and the second extinction element 272, and thus is less affected by stray light, the optical sensor 16 can be more accurately produced. The image, when the corresponding image is transmitted to the subsequent circuit, the accuracy of the subsequent determination of the physical or biochemical meaning of the optical signal with different wavelengths of light intensity can be further improved.

第一消光元件270與第二消光元件272之橫切面之一側邊係呈鋸齒狀,該些鋸齒狀側邊係面向光通道140。例如第一消光元件270之側邊270a與第二消光元件272之側邊272a係面向光通道140。第一消光元件270與第二消光元件272係分別配置於光通道140之兩側,用以吸收從輸入部12射出之射出角度大於一特定角度之光學訊號。舉例來說,此特定角度例如為角度θ,其係與第一消光元件270與第二消光元件272之鋸齒狀結構相關。假設偏離光學訊號52之行進角度係大於角度θ。當偏離光學訊號52之行進角度係大於角度θ時,偏離光學訊號52可能會射入鋸齒狀結構之其中一個三角形凹口中。消光元件之鋸齒狀結構可以讓如第19圖中之偏離光學訊號52在鋸齒狀結構之凹口中來回反射而耗弱。如此一來,原本會造成雜散光訊號之偏離光學訊號52皆可由鋸齒狀結構而消弭,進而使所欲得到之光譜分量更為清楚分明。One side of the cross-section of the first matting element 270 and the second extinction element 272 is serrated, and the zigzag sides face the optical channel 140. For example, the side 270a of the first matting element 270 and the side 272a of the second extinction element 272 face the optical channel 140. The first extinction element 270 and the second extinction element 272 are respectively disposed on both sides of the optical channel 140 for absorbing the optical signal emitted from the input unit 12 and having an emission angle greater than a specific angle. For example, this particular angle is, for example, an angle θ that is related to the sawtooth structure of the first extinction element 270 and the second extinction element 272. It is assumed that the angle of travel from the optical signal 52 is greater than the angle θ. When the angle of travel from the optical signal 52 is greater than the angle θ, the offset optical signal 52 may be incident into one of the triangular recesses of the sawtooth structure. The sawtooth structure of the extinction element allows the deviating optical signal 52 as shown in Fig. 19 to be reflected back and forth in the notch of the sawtooth structure to be weak. In this way, the deviation optical signal 52, which would otherwise cause the stray light signal, can be eliminated by the sawtooth structure, so that the spectral components to be obtained are more clearly defined.

本發明上述實施例所揭露之微型光譜儀之光學機構,規範從輸入部進入之光學訊號,於上下波導板之間之光通道中行進,如此可讓光學訊號更為集中且不易發散。再搭配上鋸齒狀之消光元件更可讓入射角度過大之光學訊號被消弭,進而減少到達影像擷取元件之雜散光,使得所欲得到之光譜分量不會受到雜散光之干擾,得到更清晰之影像。The optical mechanism of the micro spectrometer disclosed in the above embodiments of the present invention regulates the optical signal entering from the input portion and travels in the optical channel between the upper and lower waveguide plates, so that the optical signal is more concentrated and less divergent. Combined with the zigzag extinction element, the optical signal with too large the incident angle is eliminated, thereby reducing the stray light reaching the image capturing component, so that the desired spectral component is not interfered by the stray light, and the clearer is obtained. image.

本發明上述實施例所揭露之光學系統,具有多項優點,以下僅列舉部分優點說明如下:The optical system disclosed in the above embodiments of the present invention has a plurality of advantages, and only some of the advantages listed below are as follows:

一、減少光學系統中元件的使用數量。First, reduce the number of components used in the optical system.

二、使光譜分量可以實質上垂直於一預設輸出面,以獲得較佳的光學感測品質。Second, the spectral component can be substantially perpendicular to a predetermined output surface to achieve better optical sensing quality.

三、使光學訊號可以集中在一波導中傳送、並將雜散光濾除,配合上述可以使光譜分量垂直於一預設輸出面的光柵設計即成為一完美之光學系統。Third, the optical signal can be concentrated in a waveguide to transmit and filter the stray light, and the grating design that can make the spectral component perpendicular to a predetermined output surface becomes a perfect optical system.

綜上所述,雖然本發明已以一較佳實施例揭露如上,然其並非用以限定本發明。本發明所屬技術領域中具有通常知識者,在不脫離本發明之精神和範圍內,當可作各種之更動與潤飾。因此,本發明之保護範圍當視後附之申請專利範圍所界定者為準。In view of the above, the present invention has been disclosed in a preferred embodiment, and is not intended to limit the present invention. A person skilled in the art can make various changes and modifications without departing from the spirit and scope of the invention. Therefore, the scope of the invention is defined by the scope of the appended claims.

10...光學系統10. . . Optical system

12...輸入部12. . . Input section

14...反射型繞射光柵14. . . Reflective diffraction grating

16、860...光學感測器16,860. . . Optical sensor

52...偏離光學訊號52. . . Deviation from optical signal

120...上波導板120. . . Upper waveguide plate

122...第一反射面122. . . First reflecting surface

130...下波導板130. . . Lower waveguide plate

132...第二反射面132. . . Second reflecting surface

270...第一消光元件270. . . First extinction element

270a、272a...側邊270a, 272a. . . Side

272...第二消光元件272. . . Second extinction element

162...預設輸出面162. . . Preset output face

142...光柵輪廓曲面142. . . Raster contour surface

144...繞射結構144. . . Diffractive structure

200、400(l)~400(m)、600(l)~600(n)...像差特性曲線200, 400 (l) ~ 400 (m), 600 (l) ~ 600 (n). . . Aberration characteristic curve

300、500(l)~500(m)、700(l)~400(n)...像差解析度特性曲線300, 500 (l) ~ 500 (m), 700 (l) ~ 400 (n). . . Aberration resolution characteristic curve

61l~61m、71l~71n...特性曲線61l ~ 61m, 71l ~ 71n. . . Characteristic curve

800...傳統光譜分析儀800. . . Traditional spectrum analyzer

810...光源810. . . light source

820...狹縫820. . . Slit

830...準直面鏡830. . . Collimating mirror

840...光柵840. . . Grating

850...聚焦鏡850. . . Focusing mirror

900...光線900. . . Light

A...光點A. . . light spot

d0~d2...光柵間距D0~d2. . . Grating spacing

d0’...初始距離D0’. . . Initial distance

L、50...光學訊號L, 50. . . Optical signal

L1~Ln...光譜分量L1~Ln. . . Spectral component

P0 ...中央輪廓點P 0 . . . Central contour point

P1 、P2 、P3 ...輪廓點P 1 , P 2 , P 3 . . . Outline point

Rk 、R1l ~R1m 、R2l ~R2n 、R3l ~R3p 、R4l ~R4q 、R5l 至R5r ...參考點R k , R 1l to R 1m , R 2l to R 2n , R 3l to R 3p , R 4l to R 4q , and R 5l to R 5r . . . Reference point

y1、y2...位置Y1, y2. . . position

△y’、△y’(h)、△y’(w)...像差Δy', Δy'(h), Δy'(w). . . Aberration

α...入射角α. . . Incident angle

β...反射角β. . . Reflection angle

θ...角度θ. . . angle

Δλ A ...像差解析度Δ λ A . . . Aberration resolution

Δx 1、Δx 2、Δy 1、Δy 2、Δy 3...距離Δ x 1 , Δ x 2, Δ y 1 , Δ y 2, Δ y 3. . . distance

第1圖繪示係為傳統光譜分析儀之示意圖。Figure 1 is a schematic diagram showing a conventional spectrum analyzer.

第2圖繪示係為依照本發明實施例之一種光學系統。Figure 2 depicts an optical system in accordance with an embodiment of the present invention.

第3圖繪示係為繞射原理之示意圖。Figure 3 is a schematic diagram showing the principle of diffraction.

第4圖繪示係為依照本發明實施例之一種反射型繞射光柵。Figure 4 is a diagram showing a reflective diffraction grating in accordance with an embodiment of the present invention.

第5圖繪示係為像差(aberration)之示意圖。Figure 5 is a schematic diagram showing the aberration.

第6圖繪示係為一模擬的區域光柵Rk P0 (local grating)的像差特性曲線之示意圖。Figure 6 is a diagram showing the aberration characteristic curve of a simulated region grating R k P 0 (local grating).

第7圖繪示係為區域光柵Rk P0 所形成的像差解析度特性曲線之示意圖。FIG. 7 is a schematic diagram showing the aberration resolution characteristic curve formed by the region grating R k P 0 .

第8圖繪示係為中央輪廓點P0 與參考點R1l 至R1m 之示意圖。Figure 8 is a schematic diagram showing the central contour point P 0 and reference points R 1l to R 1m .

第9圖繪示係為參考點R1l 至R1m 與中央輪廓點P0 之連線所形成的區域光柵R1l P0 至R1m P0 的像差特性曲線之示意圖。FIG. 9 is a schematic diagram showing aberration characteristics of the region gratings R 1l P 0 to R 1m P 0 formed by the line connecting the reference points R 1l to R 1m and the central contour point P 0 .

第10圖繪示係為區域光柵R1l P0 至R1m P0 的像差解析度特性曲線之示意圖。FIG. 10 is a schematic diagram showing the aberration resolution characteristic curve of the region gratings R 1l P 0 to R 1m P 0 .

第11圖繪示係為中央輪廓點P0 、參考點R1l 至R1m 、參考點R2l 至R2n 及參考點R3l 至R3p 之示意圖。11 is a schematic diagram showing a central contour point P 0 , reference points R 1l to R 1m , reference points R 2l to R 2n , and reference points R 3l to R 3p .

第12圖繪示係為參考點R2l 至R2n 與中央輪廓點P0 之連線所形成n個模擬的區域光柵R2l P0 到R2n P0 的像差特性曲線之示意圖。Fig. 12 is a view showing the aberration characteristic curves of the n simulated area gratings R 2l P 0 to R 2n P 0 formed by the line connecting the reference points R 2l to R 2n and the central contour point P 0 .

第13圖繪示係為n個模擬的區域光柵R2l P0 到R2n P0 的像差解析度特性曲線之示意圖。Figure 13 is a diagram showing the aberration resolution characteristic curves of the n simulated region gratings R 2l P 0 to R 2n P 0 .

第14圖繪示係為中央輪廓點P0 、參考點R1l 至R1m 、參考點R2l 至R2n 、參考點R3l 至R3p 、參考點R4l 至R4q 及參考點R5l 至R5r 之示意圖。Figure 14 shows the central contour point P 0 , reference points R 1l to R 1m , reference points R 2l to R 2n , reference points R 3l to R 3p , reference points R 4l to R 4q and reference point R 5l to Schematic diagram of R 5r .

第15圖繪示係為中央輪廓點P0 、輪廓點P1 及輪廓點P2 之示意圖。Figure 15 is a schematic diagram showing the central contour point P 0 , the contour point P 1 and the contour point P 2 .

第16圖繪示係為中央輪廓點P0 、輪廓點P1 、輪廓點P2 及繞射結構之示意圖Figure 16 is a schematic diagram showing the central contour point P 0 , the contour point P 1 , the contour point P 2 and the diffraction structure.

第17圖繪示依照本發明實施例之一種光學系統之立體分解圖。Figure 17 is a perspective exploded view of an optical system in accordance with an embodiment of the present invention.

第18圖繪示係光線於第17圖光學系統之光通道中行進的示意圖。Figure 18 is a schematic diagram showing the traveling of light in the optical channel of the optical system of Figure 17.

第19圖繪示係第17圖中消光元件之消光機制的示意圖。Figure 19 is a schematic view showing the extinction mechanism of the extinction element in Figure 17.

14...反射型繞射光柵14. . . Reflective diffraction grating

142...光柵輪廓曲面142. . . Raster contour surface

144...繞射結構144. . . Diffractive structure

d0~d2...光柵間距D0~d2. . . Grating spacing

P0 ...中央輪廓點P 0 . . . Central contour point

P1 、P2 、P3 ...輪廓點P 1 , P 2 , P 3 . . . Outline point

Claims (19)

一種光學系統,包括:一輸入部,用以接收一光學訊號;一預設輸出面;以及一反射型繞射光柵,包括:一光柵輪廓曲面,為非圓弧面;以及複數個繞射結構,用以將該光學訊號分離為複數個光譜分量,該些繞射結構分別以複數個光柵間距(Pitch)設置於該光柵輪廓曲面上,至少部份之該些光柵間距係互為不同,使得位於中心波長處的該光譜分量以實質上垂直於該預設輸出面之方式射向該預設輸出面。 An optical system comprising: an input portion for receiving an optical signal; a predetermined output surface; and a reflective diffraction grating comprising: a grating profile curved surface, which is a non-arc surface; and a plurality of diffraction structures The optical signal is separated into a plurality of spectral components, and the diffraction structures are respectively disposed on the grating contour surface by a plurality of grating pitches, and at least some of the grating pitches are different from each other, so that The spectral component at the center wavelength is directed toward the predetermined output face in a manner substantially perpendicular to the predetermined output face. 如申請專利範圍第1項所述之光學系統,其中該些光譜分量之個數至少大於3。 The optical system of claim 1, wherein the number of the spectral components is at least greater than three. 如申請專利範圍第1項所述之光學系統,其中,該預設輸出面係為一平面上之一直線。 The optical system of claim 1, wherein the predetermined output surface is a straight line on a plane. 如申請專利範圍第1項所述之光學系統,其中,該預設輸出面係為一電荷耦合元件(Charge Couple Device,CCD)之一光學影像接收面。 The optical system of claim 1, wherein the predetermined output surface is an optical image receiving surface of a charge coupled device (CCD). 如申請專利範圍第1項所述之光學系統,其中,該預設輸出面係為一互補式金屬-氧化層-半導體(Complementary Metal-Oxide-Semiconductor,CMOS)之一光學影像接收面。 The optical system of claim 1, wherein the predetermined output surface is an optical image receiving surface of a complementary metal-oxide-semiconductor (CMOS). 如申請專利範圍第1項所述之光學系統,其中該反射型繞射光柵之光柵輪廓曲面與繞射結構係刻製於一半導體基底材料上。 The optical system of claim 1, wherein the grating profile curved surface and the diffraction structure of the reflective diffraction grating are engraved on a semiconductor substrate material. 如申請專利範圍第6項所述之光學系統,其中該半導體基底材料係為矽。 The optical system of claim 6, wherein the semiconductor substrate material is ruthenium. 如申請專利範圍第1項所述之光學系統,更包括:一上波導板,具有一第一反射面;以及一下波導板,實質上平行於該上波導板設置,並具有一第二反射面,該第一反射面與該第二反射面係相對,該第一反射面與該第二反射面之間係形成一光通道,使來自於該輸入部之該光學訊號在該光通道內行進。 The optical system of claim 1, further comprising: an upper waveguide plate having a first reflective surface; and a lower waveguide plate disposed substantially parallel to the upper waveguide plate and having a second reflective surface The first reflective surface is opposite to the second reflective surface, and an optical path is formed between the first reflective surface and the second reflective surface, so that the optical signal from the input portion travels in the optical channel. . 如申請專利範圍第8項所述之光學系統,其中該上波導板及該下波導板之材質係為不鏽鋼、矽晶片、玻璃、光碟片或硬碟片。 The optical system of claim 8, wherein the upper waveguide plate and the lower waveguide plate are made of stainless steel, tantalum wafer, glass, optical disk or hard disk. 如申請專利範圍第8項所述之光學系統,其中該光通道係為空腔式。 The optical system of claim 8, wherein the optical channel is of a cavity type. 如申請專利範圍第10項所述之光學系統,其中該光通道更以玻璃、塑膠或壓克力填滿。 The optical system of claim 10, wherein the optical channel is filled with glass, plastic or acrylic. 如申請專利範圍第8項所述之光學系統,更包括一第一消光元件與一第二消光元件分別配置於該光通道之兩側,該第一消光元件與該第二消光元件之橫切面之一側邊係呈鋸齒狀,該些鋸齒狀側邊係面向該光通道,用以吸收射出角度大於一特定角度之該光學訊號。 The optical system of claim 8, further comprising a first extinction element and a second extinction element respectively disposed on two sides of the optical channel, the cross-section of the first extinction element and the second extinction element One of the sides is serrated, and the zigzag sides face the optical channel for absorbing the optical signal having an emission angle greater than a specific angle. 一種反射型繞射光柵,包括:一光柵輪廓曲面,為非圓弧面;以及複數個繞射結構,用以將一光學訊號分離為複數個光譜分量,該些繞射結構分別以複數個光柵間距(Pitch)設置於該光柵輪廓曲面上,且至少部份之該些光柵間距係互為 不同,使得位於中心波長處的該光譜分量以實質上垂直於一預設輸出面之方式射向該預設輸出面。 A reflective diffraction grating comprising: a grating profile curved surface, which is a non-arc surface; and a plurality of diffraction structures for separating an optical signal into a plurality of spectral components, wherein the diffraction structures are respectively a plurality of gratings Pitch is disposed on the grating contour surface, and at least part of the grating pitches are mutually Differently, the spectral component at the central wavelength is directed toward the predetermined output face in a manner substantially perpendicular to a predetermined output face. 如申請專利範圍第13項所述之反射型繞射光柵,其中該些光譜分量之個數至少大於3。 The reflective diffraction grating of claim 13, wherein the number of the spectral components is at least greater than three. 如申請專利範圍第13項所述之反射型繞射光柵,其中,該預設輸出面係為一平面上之一直線。 The reflective diffraction grating of claim 13, wherein the predetermined output surface is a straight line on a plane. 如申請專利範圍第13項所述之反射型繞射光柵,其中,該預設輸出面係為一電荷耦合元件(Charge Couple Device,CCD)之一光學影像接收面。 The reflective diffraction grating of claim 13, wherein the predetermined output surface is an optical image receiving surface of a charge coupled device (CCD). 如申請專利範圍第13項所述之反射型繞射光柵,其中,該預設輸出面係為一互補式金屬-氧化層-半導體(Complementary Metal-Oxide-Semiconductor,CMOS)之一光學影像接收面。 The reflective diffraction grating of claim 13, wherein the predetermined output surface is an optical image receiving surface of a complementary metal-oxide-semiconductor (CMOS). . 如申請專利範圍第13項所述之反射型繞射光柵,其中該反射型繞射光柵之光柵輪廓曲面與繞射結構係刻製於一半導體基底材料上。 The reflective diffraction grating of claim 13, wherein the grating profile curved surface and the diffraction structure of the reflective diffraction grating are engraved on a semiconductor substrate material. 如申請專利範圍第13項所述之反射型繞射光柵,其中該半導體基底材料係為矽。 The reflective diffraction grating of claim 13, wherein the semiconductor substrate material is germanium.
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