用于光谱仪消像差的施密特校正板设计
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摘要
基于施密特系统的基本原理,设计了一种用于光谱仪消像差的施密特校正板,得到了该校正板的面形方程和面形图。利用ZEMAX软件模拟和分析了加入施密特校正板前后光谱仪系统的成像特性。结果表明:波长为350,550,700nm时,原始光谱仪像面点斑的均方根(RMS)半径分别为515.843,563.074,885.820μm,而带有施密特校正板光谱仪像面点斑的RMS半径分别为287.441,252.774,511.816μm。施密特校正板使点斑尺寸在波长为350,550,700nm时,分别缩小了44.28%、55.11%、42.23%。所提出的施密特校正板设计方法为改善光谱仪的分辨率提供了技术参考。
A Schmidt corrector plate for cancelling the aberrations of spectrometers is designed based on the principle of a Schmidt system.A formula for the surface shape and a surface map of the Schmidt corrector plate are derived.Then,the imaging characteristics of the spectrometer systems with and without the Schmidt corrector plate installed are simulated and analyzed using the ZEMAX software.The results show that for the wavelengths of 350,550,and 700 nm,the root-mean-square(RMS)radii of light spots on the image plane of the original spectrometer are 515.843,563.074,and 885.820μm,respectively.In contrast,with the Schmidt corrector plate installed,the RMS radii of light spots on the image plane are 287.441,252.774,and 511.816μm,respectively.For the wavelengths of 350,550,and 700 nm,the spot sizes with the Schmidt corrector plate installed are reduced by44.28%,55.11%,and 42.23%,respectively.The proposed method for designing a Schmidt corrector plate provides a technical reference for improving the resolution of spectrometers.
A Schmidt corrector plate for cancelling the aberrations of spectrometers is designed based on the principle of a Schmidt system.A formula for the surface shape and a surface map of the Schmidt corrector plate are derived.Then,the imaging characteristics of the spectrometer systems with and without the Schmidt corrector plate installed are simulated and analyzed using the ZEMAX software.The results show that for the wavelengths of 350,550,and 700 nm,the root-mean-square(RMS)radii of light spots on the image plane of the original spectrometer are 515.843,563.074,and 885.820μm,respectively.In contrast,with the Schmidt corrector plate installed,the RMS radii of light spots on the image plane are 287.441,252.774,and 511.816μm,respectively.For the wavelengths of 350,550,and 700 nm,the spot sizes with the Schmidt corrector plate installed are reduced by44.28%,55.11%,and 42.23%,respectively.The proposed method for designing a Schmidt corrector plate provides a technical reference for improving the resolution of spectrometers.
引文
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[2]Aksenov V L,Balagurov A M,Platonov S L,et al.Time-of-flight neutron spectrometer for micro sample studies under high pressure[J].High Pressure Research,1995,14(1/2/3):181-191.
[3]Yu B,Lan X F,Zhang L,et al.Spectroscopic study on interaction of famotidine with bovine serum albumin[J].Laser&Optoelectronics Progress,2018,55(4):043003.俞波,兰秀风,张林,等.法莫替丁与牛血清蛋白相互作用的光谱研究[J].激光与光电子学进展,2018,55(4):043003.
[4]Hecker C,Hook S,van der Meijde M,et al.Thermal infrared spectrometer for earth science remote sensing applications:instrument modifications and measurement procedures[J].Sensors,2011,11(11):10981-10999.
[5]Yu L.Upgrade of a UV-VIS-NIR imaging spectrometer for the coastal ocean observation:concept,design,fabrication,and test of prototype[J].Optics Express,2017,25(13):15526.
[6]Shen M D,Li F,Zhou L B,et al.Design and analysis of a novel light visible spectrum imaging spectrograph optical system[J].Spectroscopy and Spectral Analysis,2015,35(2):568-572.沈满德,李飞,周利兵,等.新型轻量化可见光光谱仪成像系统研究与分析[J].光谱学与光谱分析,2015,35(2):568-572.
[7]Luo G Y,Wang B D,Chen Y Q,et al.Design of visible near infrared imaging spectrometer on unmanned aerial vehicle[J].Acta Photonica Sinica,2017,46(9):0930001.罗刚银,王弼陡,陈玉琦,等.可见近红外波段无人机载成像光谱仪设计[J].光子学报,2017,46(9):0930001.
[8]Xue Q S,Wang S R,Lu F Q.Aberration-corrected Czerny-Turner imaging spectrometer with a wide spectral region[J].Applied Optics,2009,48(1):11.
[9]Wang L.Optical system design of a miniature UVspectrometer and study of UV-enhancement technology of its detector[D].Hangzhou:China Jiliang University,2016:12-16.王璐.紫外微型光谱仪的光学设计及其探测器紫外增敏技术研究[D].杭州:中国计量学院,2016:12-16.
[10]Minghelli-Roman A,Mangolini M,Petit M,et al.Spatial resolution improvement of MeRIS images by fusion with TM images[J].IEEE Transactions on Geoscience and Remote Sensing,2001,39(7):1533-1536.
[11]Liu T,Thibos L N.Compensation of corneal oblique astigmatism by internal optics:a theoretical analysis[J].Ophthalmic and Physiological Optics,2017,37(3):305-316.
[12]Zhao X L,Bayanheshig,Li W H,et al.Integrated design to complement aberrations of spherical focusing mirrors and concave holographic gratings in spectrometers[J].Acta Optica Sinica,2016,36(6):0605002.赵旭龙,巴音贺希格,李文昊,等.光谱仪中球面聚焦反射镜和凹面全息光栅像差互补的一体化设计[J].光学学报,2016,36(6):0605002.
[13]Xue Q S.Modified Dyson imaging spectrometer with an aspheric grating surface[J].Optics Communications,2013,308(1):260-264.
[14]Han S,Huang Y S,Li B C,et al.Theoretical analysis and research about high image quality Offner imaging spectrometer[J].Acta Photonica Sinica,2014,43(4):0430001.韩姗,黄元申,李柏承,等.高成像质量Offner成像光谱仪的理论分析与研制[J].光子学报,2014,43(4):0430001.
[15]Ji Y Q,Li J X,Zhou J K,et al.Analytical design and implementation of an imaging spectrometer[J].Applied Optics,2015,54(3):517.
[16]Pan B Z,Tang J,Wang A H,et al.Design strategy for flat-field Schmidt optical system[J].Optik,2014,125(4):1585-1588.
[17]Surace C,Comte G.A search for active star-forming galaxies with the ESO 1meter Schmidt telescope[J].Astronomy&Astrophysics,2017,281(3):653-665.
[18]Chapman L J,Edell W S,Chapman J P.Physical anhedonia,perceptual aberration,and psychosis proneness[J].Schizophrenia Bulletin,1980,6(4):639-653.
[19]Pan B Z,Cheng H B,Wen Y F,et al.Amathematical model of Schmidt corrector plate with defocus in variable for quick F ratio and large aperture systems[J].Optik,2012,123(20):1841-1844.
[20]Reardon P.Schmidt-like corrector plate for cylindrical optics[J].Optical Engineering,2010,49(5):053002.