Algorithm for reconstructing complex coefficients of Laguerre–Gaussian modes from the intensity distribution of their coherent superposition

In this paper, we consider a problem of reconstructing complex coefficients of the coherent su-perposition of Laguerre–Gaussian modes from the field intensity in a plane perpendicular to the propagation axis at a given distance using the Levenberg–Marquardt and Brent algorithm. The efficiency of usi...

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Bibliographic Details
Published in:	Kompʹûternaâ optika Vol. 44; no. 3; pp. 352 - 362
Main Authors:	S.G. Volotovskiy, S.V. Karpeev, S.N. Khonina
Format:	Journal Article
Language:	Russian
Published:	Samara National Research University 01.06.2020
Subjects:	brent algorithm laguerre–gaussian modes levenberg–marquardt algorithm optical information transmission optimization of approximation by a modes’ superposition reconstruction of complex coefficients
ISSN:	0134-2452, 2412-6179
Online Access:	Get full text
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Summary:	In this paper, we consider a problem of reconstructing complex coefficients of the coherent su-perposition of Laguerre–Gaussian modes from the field intensity in a plane perpendicular to the propagation axis at a given distance using the Levenberg–Marquardt and Brent algorithm. The efficiency of using stage-by-stage optimization to restore complex coefficients of a superposition is demonstrated not only on model, but also on experimental intensity distributions. The algorithm can be used in optical information transmission through a turbulent atmosphere to process the received intensity distribution of the optical signal.
ISSN:	0134-2452 2412-6179
DOI:	10.18287/2412-6179-CO-727