本系統主要在光譜儀分析模擬，利用TracePro7軟體光跡模擬羅倫圓光柵分光特性。利用光柵反射出光線，於各波長主中軸上設置了一系列偵測面，藉由偵測面的輻照圖(斑點圖)，搭配Matlab軟體分析得到各波長的聚焦縱深，再精密計算其總解析度，最後畫出座標解析度等高圖。
此設計波長範圍380 nm至780 nm，光柵間距為3 μm，入射角為40°，中心波長 (580 nm) 出射角26.67°，入射臂長172.94 mm，中心波長 (580 nm) 出射臂長133.53 mm。在狹縫1 μm系統解析度達1.12 nm；在狹縫10 μm系統解析度達2.09 nm；在狹縫20 μm系統解析度達2.85 nm。波長準確度可達每像素0.04 nm (狹縫1 μm)；波長準確度可達每像素0.06 nm(狹縫10 μm)；波長準確度可達每像素0.07 nm (狹縫20 μm)。 感測器的組裝容忍度，可由全波段的聚焦縱深得到，約為0.35 mm (狹縫1 μm)，0.556 mm (狹縫10 μm)，0.67 mm(狹縫20 μm)。影像區域為25 mm × 0.5 mm，即為偵測器大小。
結果顯示本研究能完整精密分析光譜儀內部系統之準確解析度，模擬時使用的光源及偵測器參數，成功達成系統與實際數據的匹配。

The system analyzing the spectrum use TracePro7, a software, to simulate the characteristic of the Rowland-circle in the ray tracing. The light reflecting from the grating sets a series of detectors. The Depth of Focus of each wavelength can be simulated with Matlab from the detectors. Finally, the result is the graph on the coordinate associates with the resolution.
The designed wavelength range of the system is from 380 nm to 780 nm. The grating pitch is 3 μm. The incident angle is 40 degrees, and the reflective angle is 26.67 degrees. The object distance of center wavelength is 172.94 mm, and the image distance of center wavelength is 133.53 mm. The spectral resolution of 1.12 nm when the slit is 1 μm. The spectral resolution of 2.09 nm when the slit is 10 μm. The spectral resolution of 2.85 nm when the slit is 20 μm. The wavelength accuracy reaches 0.04 nm/pixel when the slit is 1 μm. The wavelength accuracy reaches 0.06 nm/pixel when the slit is 10 μm. The wavelength accuracy reaches 0.07 nm/pixel when the slit is 20 μm. The Depth of Focus for the entire wavelength range is about 0.35 mm when the slit is 1 μm. The Depth of Focus for the entire wavelength range is about 0.556 mm when the slit is 10 μm. The Depth of Focus for the entire wavelength range is about 0.67 mm when the slit is 20 μm. The wavelength range is 25 mm × 0.5mm, which is the detector size.
The result indicates that the approach can accurately analyze the inner system of the spectrum with precise resolution. Besides, the parameters used in the simulation successfully match the actual data of the system.

[1]李龍正, "高光譜影像儀發展及影像市場前景," 科儀新知, 2004.
[2]Wikipedia contributors. (5 November 2014 12:49 UTC). Spectrometer. Available: http://en.wikipedia.org/w/index.php?title=Spectrometer&oldid=632512054
[3]J. R. Meyer-Arendt, Introduction to Classical and Modern Optics. New Jersey: Prentice Hall, 1995.
[4]H. Yinlei, Y. Jianyi, J. Xiaoqing, Z. Wei, Z. Jianying, Z. Haifeng, et al., "Analysis on Curved Waveguide Grating (CWG) with Rowland circle construction," Optical Fiber Communication and Optoelectronics Conference, pp. 339-341, 2007.
[5]C. H. Ko, J. S. Lin, N. P. Chen, C. T. Chen, and J. L. Shen, "Analysis of the focal pattern distortion of a cylindrical concave micro-grating in a slab waveguide and the mechanism of spatial resolution recovery," Optical Engineering, vol. 49, pp. 018001-018001-7, 2010.
[6]T. Onaka, T. Miyata, H. Kataza, and Y. Okamoto, "Design for an aberration-corrected concave grating for a mid-infrared long-slit spectrometer," Applied Optics, vol. 39, pp. 1474-9, Apr 1 2000.
[7]W. B. Peatman, Gratings, Mirrors and Slits: Beamline Design for Soft X-Ray Synchrotron Radiation Sources. The Netherlands: Gordon and Brench Sciemce, 1997.
[8]R. Grange, "Aberration-reduced holographic spherical gratings for Rowland circle spectrographs," Applied Optics, vol. 31, pp. 3744-3749, 1992.
[9]R. Grange, "Holographic spherical gratings: a new family of quasi-stigmatic designs for the Rowland-circle mounting," Applied Optics, vol. 32, pp. 4875-4880, 1993.
[10]C. Hutley, Diffraction gratings. New York: Academic Press, 1982.
[11]R. Serway and J. Jewett, Physics for Scientists and Engineers with Modern Physics. USA: Cengage Learning, 2013.
[12]B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics. New Jersey: Wiley Interscience, 2013.
[13]章立佑, "反射式微結構之平面聚焦特性分析與探討," 碩士, 自動化及控制研究所, 國立臺灣科技大學, 台北市, 2009.
[14]Wikipedia contributors. (5 November 2014 12:46 UTC). Numerical aperture. Available: http://en.wikipedia.org/w/index.php?title=Numerical_aperture&oldid=622719064
[15]Wikipedia contributors. (5 November 2014 12:51 UTC). Visible spectrum. Available: http://en.wikipedia.org/w/index.php?title=Visible_spectrum&oldid=632032617
[16]黃羽笛, "微型分光結構之分析與研究," 碩士, 自動化及控制研究所, 國立臺灣科技大學, 台北市, 2013.
[17]A. R. Davis, D. E. Irish, R. B. Roden, and A. J. Weerheim, "Computer-Aided Visual Spectrum Analysis," Applied Spectroscopy, vol. 26, pp. 384-389, 1972.
[18]Wikipedia contributors. (5 November 2014 12:52 UTC). Pixel. Available: http://en.wikipedia.org/w/index.php?title=Pixel&oldid=630193759