Features of Constructing an Orthonormal Basis Based on Atomic Functions as Applied to Solving Boundary Value Electrodynamics Problems for Regions of Complex Shape


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Abstract

A method for orthonormalizing atomic functions is proposed and substantiated. The efficiency of using a basic system to solve a number of boundary value electrodynamics problems is shown. Numerical experiment and analysis of the physical results showed that the R-functions method combined with basis functions is universal for waveguides and resonators of arbitrary shape.

About the authors

V. F. Kravchenko

Institute of Radio Engineering and Electronics, Russian Academy of Sciences; Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences; Moscow Bauman State Technical University

Author for correspondence.
Email: kvf_ok@mail.ru
Russian Federation, Moscow, 125009; Moscow, 117342; Moscow, 105005

V. I. Pustovoit

Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences

Email: yualex@rambler.ru
Russian Federation, Moscow, 117342

A. V. Yurin

Moscow Bauman State Technical University

Author for correspondence.
Email: yualex@rambler.ru
Russian Federation, Moscow, 105005

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