"Monte Carlo分析下的快照傅里叶变换成像光谱仪阵列非均匀特性研究"

Fourier transform imaging spectrometer arrays exhibit non-uniform characteristics due to the limitations in the fabrication accuracy of the array components. The deviations in structural parameters between individual units of the microlens array and micromirror array can affect the performance of the system. The structural parameter deviations among the microlens units can be equivalent to non-uniformity in focal lengths, while the differences among the micromirror units mainly manifest in the non-uniformity of step lengths. In this study, a model for the transmission of light field with non-uniform errors was established based on the phase modulation characteristics of the microlens array and micromirror array. Using Monte Carlo method, the non-uniformity errors in focal lengths of the microlens array and step lengths of the micromirror array were synthesized, and statistical analysis showed that the relative spectral error increases monotonically with the standard deviations of focal lengths and step lengths. A discrete spectral phase compensation method for correcting step length non-uniform errors was proposed, effectively reducing the precision requirements for the micromirror array fabrication and improving the quality of reconstructed spectra.