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

• Published in: Kompʹûternaâ optika Vol. 44; no. 3; pp. 352 - 362
• Main Authors: Volotovskiy, S.G., Karpeev, S.V., Khonina, S.N.
• Format: Journal Article
• Language: English; 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
• DOI: 10.18287/2412-6179-CO-727

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.