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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
A numerical research of the range of normal modes of an open inhomogeneous waveguide with circular cross-section
E. Yu. Smol'kin, M. O. Snegur, E. A. Khorosheva Penza State University, Penza
Abstract:
Background. The aim of the work is to research the range of the problem of propagating electromagnetic waves of an open inhomogeneous waveguide with circular cross-section. Materials and methods. To determine the solution the authors use a variational formulation of the problem. The physical problem is reduced to solving the eigenvalue problem for the system of ordinary differential euqations. To find a numerical solution the Galerkin method is applied using finite piecewise linear basis functions. Results. The authors have developed and realized a numerical method for solving the problem of normal mode propagation in an open inhomogeneous waveguide with circular cross-section, as well as carried out a number of numerical experiments. Conclusions. The suggested numerical method is an efficient way to find an approximate solution to the electromagnetic wave propagation problem.
Keywords:
electromagnetic wave propagation problem, inhomogeneous waveguide with circular cross-section, Maxwell equation, differential equations, variational formulation, Sobolev spaces, Galerkin method.
Citation:
E. Yu. Smol'kin, M. O. Snegur, E. A. Khorosheva, “A numerical research of the range of normal modes of an open inhomogeneous waveguide with circular cross-section”, University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 4, 76–86
Linking options:
https://www.mathnet.ru/eng/ivpnz180 https://www.mathnet.ru/eng/ivpnz/y2017/i4/p76
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