Performance analysis of Fourier and Vector Matrix Multiply methods for phase reconstruction from slope measurements

TL;DR

This paper compares Fourier and Vector Matrix Multiply methods for wavefront phase reconstruction, analyzing their accuracy under various sampling and coherence conditions through Monte Carlo simulations.

Contribution

It provides a comparative analysis of Fourier and VMM reconstruction methods, highlighting their performance differences based on wavefront coherence and sensor parameters.

Findings

Fourier method is consistent with larger coherence lengths.

VMM method outperforms when coherence length matches sensor pitch.

Simulation results guide method selection based on wavefront conditions.

Abstract

The accuracy of wavefront reconstruction from discrete slope measurements depends on the sampling geometry, coherence length of the incoming wavefronts, wavefront sensor specifications and the accuracy of the reconstruction algorithm. Monte Carlo simulations were performed and a comparison of Fourier and Vector Matrix Multiply reconstruction methods was made with respect to these experimental and computational parameters. It was observed that although Fourier reconstruction gave consistent accuracy when coherence length of wavefronts is larger than the corresponding pitch on the wavefront sensor, VMM method gives even better accuracy when the coherence length closely matches with the wavefront sensor pitch.