[Simulated annealing based phase correction of interferogram in Fourier transform imaging spectrometer]

Area of Science:

• Spectroscopy
• Optical Engineering
• Signal Processing

Context:

• Fourier transform imaging spectrometers are crucial for spectral analysis.
• Accurate phase correction is essential for reliable spectrum recovery.
• Existing methods struggle with noisy interferogram data.

Purpose:

• To develop a robust phase correction method for Fourier transform imaging spectrometers.
• To address limitations of current techniques in handling noisy data.
• To improve the accuracy and stability of spectrum recovery.

Summary:

• A simulated annealing algorithm is proposed to calculate phase error in Fourier transform imaging spectrometry.
• The method optimizes phase correction by controlling a phase decrease function and using the Metropolis criterion.
• It effectively corrects interferograms with noise, achieving superior results compared to existing algorithms.

Impact:

• Achieves optimized phase error below 0.5%.
• Demonstrates spectrum-recovered relative spectrum error accuracy and stability below 1%.
• Represents a significant advancement in spectral imaging and analysis.