像面干涉中非线性干涉光谱数据重构算法

静态迈克耳孙干涉仪是一种实体式像面干涉仪, 可以解决干涉光谱成像仪大视场的技术难点。在采样过程中, 静态迈克耳孙干涉仪会引入光程差的非线性干涉误差, 导致无法准确复原光谱, 因此需要对非线性干涉误差进行修正。分析了非线性干涉误差的理论模型, 提出了基于数值拟合的非线性干涉光谱数据重构算法, 并进行了仿真验证。仿真结果表明, 采用数值拟合的重构算法可成功复原目标光谱, 消除非线性干涉误差; 与采用线性拟合的重构算法相比, 使用柯西色散公式拟合的重构算法的光谱复原精度更高, 且吸收峰处的反演光谱与入射光谱的相对误差小于0.7%。

Abstract

The static Michelson interferometer is an entity type image plane interferometer, which can solve the technical difficulty of large field of view of interferometer. In the sampling process, nonlinear interference error is introduced by the interferometer, which leads to a consequence that the spectrum cannot be recovered accurately, so the nonlinear interference error needs to be corrected. A theoretical model of nonlinear interference error is analyzed, a nonlinear interference spectrum data reconstruction algorithm is presented, and a simulation is carried out. The simulation results indicate that the target spectrum can be recovered successfully by the reconstruction algorithm with numerical fitting, and the nonlinear interference error is eliminated. The reconstruction algorithm using Cauchy dispersion formula fitting is more precise than the reconstruction algorithm using linear fitting, and the relative error between the recovery spectrum and the input spectrum is less than 0.7% at the absorption peak.

参考文献

[1] 李建欣, 孟鑫, 周伟, 等. 基于二次成像的像面干涉高光谱成像方法［J］. 光学学报, 2012, 32(12): 1230001.

Li Jianxin, Meng Xin, Zhou Wei, et al. Image plane interferometric hyperspectral imaging based on reimaging［J］. Acta Optica Sinca, 2012, 32(12): 1230001.

[2] Jacquinot P. The etendue advantage［C］. XVII Meeting of Congrès Du Groupment Avancement Des Méthodes D′analyse Spectrométriques, 1954.

[3] Loewenstein E V. Fourier spectroscopy: An introduction［C］. Aspen International Conference on Fourier Spectroscopy, 1970, 952(85): 784-801.

[4] Fellgett P B. The multiplex advantage［D］. Cambridge: University of Cambridge, 1951.

[5] Fellgett P B. On the ultimate sensitivity and practical performance of radiation detectors［J］. Journal of the Optical Society of America, 1949, 39(11): 970-976.

[6] 薛鹏, 王志斌, 张瑞, 等. 高光谱全偏振成像快捷测量技术研究［J］. 中国激光, 2016, 43(8): 0811001.

Xue Peng, Wang Zhibin, Zhang Rui, et al. Highly efficient measurement technology based on hyper-spectropolarimetric imaging［J］. Chinese J Lasers, 2016, 43(8): 0811001.

[7] 董瑛, 相里斌, 赵葆常. 大孔径静态干涉成像光谱仪的干涉系统分析［J］. 光学学报, 2001, 21(3): 330-334.

Dong Ying, Xiangli Bin, Zhao Baochang. Analysis of interferometer system in a large aperture static imaging spectrometer［J］. Acta Optica Sinica, 2001, 21(3): 330-334.

[8] Green R O. Lessons and key results from 30 years of imaging spectroscopy［C］. SPIE, 2014, 9222: 92220B.

[9] Horton R F. Optical design for a high-etendue imaging Fourier-transform spectrometer［C］. SPIE, 1996, 2819: 300-315.

[10] 刘洋, 廖宁放, 白廷柱, 等. 一种大孔径紫外傅里叶变换成像光谱仪结构研究［J］. 光学学报, 2014, 34(3): 0330001.

Liu Yang, Liao Ningfang, Bai Tingzhu, et al. Study of the structure of large aperture ultraviolet Fourier transform imaging spectrometer［J］. Acta Optica Sinica, 2014, 34(3): 0330001.

[11] 张智南, 李立波, 胡炳樑, 等. 宽视场干涉光谱成像技术研究［J］. 光学学报, 2016, 36(1): 0130001.

Zhang Zhinan, Li Libo, Hu Bingliang, et al. Study and design of Fourier transform imaging spectrometer with wide field of view［J］. Acta Optica Sinica, 2016, 36(1): 0130001.

[12] Horton R F, Byers T, Conger C, et al. HEIFTS phase II: Laboraory and advanced simulation results［C］. SPIE, 2000, 4132: 195-205.

[13] Harlander J, Tran H T, Roesler F L, et al. Field-widened spatial heterodyne spectroscopy: Correcting for optical defects and new vacuum ultraviolet performance tests［C］. SPIE, 1994, 2280: 310-319.

[14] 梁铨廷. 物理光学［M］. 4版. 北京: 电子工业出版社, 2008: 40-41.

Liang Quanting. Physical optics［M］. 4th ed. Beijing: Publishing House of Electronics Industry, 2008: 40-41.

张智南, 李立波, 胡炳樑, 陈洁婧, 高晓惠, 杨凡超. 像面干涉中非线性干涉光谱数据重构算法[J]. 光学学报, 2017, 37(6): 0630002. Zhang Zhinan, Li Libo, Hu Bingliang, Chen Jiejing, Gao Xiaohui, Yang Fanchao. Nonlinear Interference Spectrum Data Reconstruction Algorithm for Image Plane Interference[J]. Acta Optica Sinica, 2017, 37(6): 0630002.

像面干涉中非线性干涉光谱数据重构算法

关于本站 Cookie 的使用提示

全站搜索

像面干涉中非线性干涉光谱数据重构算法

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索