改型Wollaston棱镜干涉光谱仪的调制度研究
|
摘要
改型Wollaston棱镜(MWP)无需中继,可构建微型傅里叶变换光谱仪。回顾了MWP的基本原理,从调制度定义出发,计算得到准单色光源的复相干度,找到调制度的影响因素——扩展视场、剪切结构、焦面探测等。建立一般的干涉定域分析模型后,由像点逆光路追迹给出MWP的厚度计算公式,代入调制度约束参数得到不同参量的误差容限。通过FRED记录不同视场扩展情况的灰度与辐照度,结果显示,调制度为0.9时,视场与理论估算值1.24°基本相符;不同剪切量的灰度与辐照度变化特性表明,结构角会使定域垂直系统光轴的入射角发生变化,与晶轴倾角共同影响双折射率差;2.5和8μm像元探测采样表现出调制度差异,描述了定域深度或离焦的影响。以准单色光源、复相干度表示调制度,可将不同影响因素统一至约束参数中,相关变量误差容限可作为MWP-FTS的设计依据。
The modified Wollaston prism(MWP)whose optical axis is tilted can be constructed into a micro Fourier-transform spectrometer(FTS)without a relay lens to project the image.By reviewing the basic principle of MWP,through the definition of fringe visibility,the complex interference degree of the quasi-monochromatic light source was calculated,thus the related factors such as the FOV,shearing structure,focal plane detection,and etc were indicated.Based on the established general fringe localization model,the thickness calculation formula of MWP was given by tracing the imaging point back,and the error tolerance of different parameters was obtained.By testifying the interference of the quasi-monochromatic light source via FRED,the visibility results showed that the FOV(visibility 0.9)is basically the same as the theoretically estimated value.The FRED results show that the shearing angle changed the incident angle needed to make the fringe localization plane formal to the axis of optical system,influencing the refractive index difference together with the crystal axis inclination angle.Finally,the visibility difference of the sampling pixel of 2.5 and 8μm describes the effects of localization depth or defocus.The modulation degree is represented by the complex coherence degree of the quasi-monochromatic light source,making different influencing factors be unified to constraint parameters,and thus the error tolerance can be used to design MWP-FTS.
The modified Wollaston prism(MWP)whose optical axis is tilted can be constructed into a micro Fourier-transform spectrometer(FTS)without a relay lens to project the image.By reviewing the basic principle of MWP,through the definition of fringe visibility,the complex interference degree of the quasi-monochromatic light source was calculated,thus the related factors such as the FOV,shearing structure,focal plane detection,and etc were indicated.Based on the established general fringe localization model,the thickness calculation formula of MWP was given by tracing the imaging point back,and the error tolerance of different parameters was obtained.By testifying the interference of the quasi-monochromatic light source via FRED,the visibility results showed that the FOV(visibility 0.9)is basically the same as the theoretically estimated value.The FRED results show that the shearing angle changed the incident angle needed to make the fringe localization plane formal to the axis of optical system,influencing the refractive index difference together with the crystal axis inclination angle.Finally,the visibility difference of the sampling pixel of 2.5 and 8μm describes the effects of localization depth or defocus.The modulation degree is represented by the complex coherence degree of the quasi-monochromatic light source,making different influencing factors be unified to constraint parameters,and thus the error tolerance can be used to design MWP-FTS.
引文
[1] Patterson B A,Antoni M,Courtial J,et al.An ultra-compact static Fourier-transform spectrometer based on a single birefringent component[J].Opt.Commun.,1996,130:1-6.
[2] Courtial J,Patterson B A,Harvey A R,et al.Design of a static Fourier-transform spectrometer with increased field of view[J].Appl.Opt.,1996,35:6698-6702.
[3] Carole C M,Thomas K G.Analysis and design of modified Wollaston prisms[J].Appl.Opt.,1999,38:6604-6616.
[4] Carole C M,Thomas K G.Analysis and design of compact,static Fourier-transform spectrometers[J].Appl.Opt.,2000,39:5762-5767.
[5]张淳民,相里斌,杨建峰,等.稳态大视场偏振干涉成像光谱仪原理及调制度分析[J].西安交通大学学报,2000,34(4):93-97.Zhang Chunmin,Xiang Libin,Yang Jianfeng,et al.Principle and modulation analysis of static larger field of view polarized interference imaging spectrometer[J].J.of Xi'an Jiaotong University,2000,34(4):93-97.
[6]吴海英,张三喜,王维强,等.宽场偏振干涉成像光谱仪的调制度研究[J].红外与激光工程,2014,43(1):201-207.Wu Haiying,Zhang Sanxi,Wang Weiqiang,et al.Interference visibility of wide-field-of-view polarization interference imaging spectrometer[J].Infrared and Laser Engin.,2014,43(1):201-207.
[7]罗海燕,叶擎昊.空间外差光谱仪干涉条纹调制度影响分析[J].光学学报,2016(7):146-153.Luo Haiyan,Ye Qinghao.Study on interferogram modulation efficiency of spatial heterodyne spectrometer[J].Act.Opt.Sin.,2016(7):146-153.
[8] Juan M S,Silvia A C,Catherine T.Multi-localization and the Van Cittert-Zernike theorem 2,Application to the Wollaston prism[J].J.Opt.Soc.Am.A,2000,17:1277-1283.
[9] Silvia A C,Juan M S,Catherine T.Multi-localization and the Van Cittert-Zernike theorem 1,theory[J].J.Opt.Soc.Am.A,2000,17:1265-1276.
[10] Tanushev N M, Engquist B, Tsai R. Gaussian beam decomposition of high frequency wave fields[J].J.Comput.Phys.,2009,228(23):8856-8871.
[2] Courtial J,Patterson B A,Harvey A R,et al.Design of a static Fourier-transform spectrometer with increased field of view[J].Appl.Opt.,1996,35:6698-6702.
[3] Carole C M,Thomas K G.Analysis and design of modified Wollaston prisms[J].Appl.Opt.,1999,38:6604-6616.
[4] Carole C M,Thomas K G.Analysis and design of compact,static Fourier-transform spectrometers[J].Appl.Opt.,2000,39:5762-5767.
[5]张淳民,相里斌,杨建峰,等.稳态大视场偏振干涉成像光谱仪原理及调制度分析[J].西安交通大学学报,2000,34(4):93-97.Zhang Chunmin,Xiang Libin,Yang Jianfeng,et al.Principle and modulation analysis of static larger field of view polarized interference imaging spectrometer[J].J.of Xi'an Jiaotong University,2000,34(4):93-97.
[6]吴海英,张三喜,王维强,等.宽场偏振干涉成像光谱仪的调制度研究[J].红外与激光工程,2014,43(1):201-207.Wu Haiying,Zhang Sanxi,Wang Weiqiang,et al.Interference visibility of wide-field-of-view polarization interference imaging spectrometer[J].Infrared and Laser Engin.,2014,43(1):201-207.
[7]罗海燕,叶擎昊.空间外差光谱仪干涉条纹调制度影响分析[J].光学学报,2016(7):146-153.Luo Haiyan,Ye Qinghao.Study on interferogram modulation efficiency of spatial heterodyne spectrometer[J].Act.Opt.Sin.,2016(7):146-153.
[8] Juan M S,Silvia A C,Catherine T.Multi-localization and the Van Cittert-Zernike theorem 2,Application to the Wollaston prism[J].J.Opt.Soc.Am.A,2000,17:1277-1283.
[9] Silvia A C,Juan M S,Catherine T.Multi-localization and the Van Cittert-Zernike theorem 1,theory[J].J.Opt.Soc.Am.A,2000,17:1265-1276.
[10] Tanushev N M, Engquist B, Tsai R. Gaussian beam decomposition of high frequency wave fields[J].J.Comput.Phys.,2009,228(23):8856-8871.