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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Vydané v:	Kompʹûternaâ optika Ročník 44; číslo 3; s. 352 - 362
Hlavní autori:	S.G. Volotovskiy, S.V. Karpeev, S.N. Khonina
Médium:	Journal Article
Jazyk:	Russian
Vydavateľské údaje:	Samara National Research University 01.06.2020
Predmet:	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
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Popis
Shrnutí:	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