Reducing the Influence of Systematic Errors in Interference Core of Stepped Micro-Mirror Imaging Fourier Transform Spectrometer: A Novel Calibration Method

Abstract

The stepped micro-mirror imaging Fourier transform spectrometer (SIFTS) has the advantages of high throughput, compactness, and stability. However, the systematic errors in the interference core of the SIFTS have a significant impact on the interferogram and the reconstructed spectrum. In order to reduce the influence of systematic errors, a transfer error model of the systematic errors in the interference core of the SIFTS is established, and an interferogram and spectrum calibration method is presented, which combines the least squares fitting calibration and the row-by-row fast Fourier transform-inverse fast Fourier transform (FFT-IFFT) flat-field calibration. The experimental results show that the methods can sufficiently reduce the influence of systematic errors in the interference core of the SIFTS, such as the interferogram fringe tilt, the peak position shift of the reconstructed spectrum, and the error of spectral response.

Dual-Interference Channels Static Fourier Transform Imaging Spectrometer Based on Stepped Micro-Mirror: Data Processing and Experiment Research

“…According to the error transfer model of D-SIFTS [40], the interference core system, composed of plane mirrors, stepped micro-mirrors, beam splitters, and compensation plates, has unavoidable processing and alignment errors. Such errors will lead to linear peak shift and spectral broadening of the reconstructed spectrum:…”

Hyperspectral Channel-Modulated Static Birefringent Fourier Transform Imaging Spectropolarimeter with Zoomable Spectral Resolution

“…Hyperspectral Fourier transform imaging spectroscopy (FTIS) enables the simultaneous acquisition of two-dimensional spatial information and one-dimensional spectral information, and has proven to be a critical tool in numerous scientific and industrial fields, including biomedicine [1][2][3], agriculture [4,5], remote sensing [6], and others. In recent years, several types of Fourier transform imaging spectroscopies (FTISs) have been developed, including interferometers based on Michelson interferometers [7][8][9][10], Sagnac interferometers [11][12][13][14][15][16][17], Mach-Zehnder interferometers [18][19][20], and Fabry-Perot interferometers [21,22]. The static birefringent Fourier transform imaging spectrometer (SBFTIS) [23][24][25] is particularly valued for its compact size, robustness, accuracy, and energy efficiency.…”