Calculation of Karhunen-Loeve functions of given correlation function

Mikhail S. Kirilenko; Sergey G. Volotovskiy

doi:10.1117/12.2565902

22 May 2020 Calculation of Karhunen-Loeve functions of given correlation function

Mikhail S. Kirilenko, Sergey G. Volotovskiy

Proceedings Volume 11516, Optical Technologies for Telecommunications 2019; 1151619 (2020) https://doi.org/10.1117/12.2565902
Event: XVII International Scientific and Technical Conference "Optical Technologies for Telecommunications", 2019, Kazan, Russian Federation

Abstract

To analyze the ability of certain beams to maintain information stability under the influence of random fluctuations of the optical medium, numerical calculations based on turbulence simulators such as diffusers, scattering screens and turbulence cells are used. These turbulence simulators can be generated via the Karhunen-Loeve expansion, which is a basis of the eigenfunctions of the correlation operator. In this paper, we consider an analytical calculation of the Karhunen-Loeve functions for a two-dimensional correlation function defined in the form of a Gaussian function, as well as numerical calculation for various four-dimensional correlation functions.

Citation Download Citation

Mikhail S. Kirilenko and Sergey G. Volotovskiy "Calculation of Karhunen-Loeve functions of given correlation function", Proc. SPIE 11516, Optical Technologies for Telecommunications 2019, 1151619 (22 May 2020); https://doi.org/10.1117/12.2565902

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