光学学报, 2017, 37 (6): 0630002, 网络出版: 2017-06-08
像面干涉中非线性干涉光谱数据重构算法
Nonlinear Interference Spectrum Data Reconstruction Algorithm for Image Plane Interference
光谱学 非线性干涉误差 光谱反演 像面干涉 干涉光谱成像 spectroscopy nonlinear interference error spectrum recovery image plane interference interference spectrum imaging
摘要
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.
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.