Open AccessPhase retrieval in generalized optical interferometry systems
Author(s) -
Wesley E. Farriss,
James R. Fienup,
Tanya Malhotra,
A. Nick Vamivakas
Publication year - 2018
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.26.002191
Subject(s) - phase retrieval , interferometry , superposition principle , optics , weighting , robustness (evolution) , amplitude , modal , gaussian , maxima and minima , physics , algorithm , phase (matter) , nonlinear system , inverse problem , computer science , mathematics , fourier transform , mathematical analysis , biochemistry , chemistry , quantum mechanics , acoustics , polymer chemistry , gene
Modal analysis of an optical field via generalized interferometry (GI) is a novel technique that treats said field as a linear superposition of transverse modes and recovers the amplitudes of modal weighting coefficients. We use phase retrieval by nonlinear optimization to recover the phase of these modal weighting coefficients. Information diversity increases the robustness of the algorithm by better constraining the solution. Additionally, multiple sets of random starting phase values assist the algorithm in overcoming local minima. The algorithm was able to recover nearly all coefficient phases for simulated fields consisting of up to 21 superpositioned Hermite Gaussian modes from simulated data and proved to be resilient to shot noise.