Absorbing Boundary Conditions Derived Based on Pauli Matrices Algebra

Tomasz Stefański; Jacek Gulgowski; Kosmas L. Tsakmakidis

doi:10.1109/lawp.2024.3395769

Absorbing Boundary Conditions Derived Based on Pauli Matrices Algebra

Abstract

In this letter, we demonstrate that a set of absorbing boundary conditions (ABCs) for numerical simulations of waves, proposed originally by Engquist and Majda and later generalized by Trefethen and Halpern, can alternatively be derived with the use of Pauli matrices algebra. Hence a novel approach to the derivation of one-way wave equations in electromagnetics is proposed. That is, the classical wave equation can be factorized into two two-dimensional wave equations with first-order time derivatives. Then, using suitable approximations, not only Engquist and Majda ABCs can be obtained, but also generalized ABCs proposed by Trefethen and Halpern, which are applicable to simulations of radiation problems.

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artykuły w czasopismach

Published in:

IEEE Antennas and Wireless Propagation Letters no. 23, pages 1 - 5,
ISSN: 1536-1225

Language:

English

Publication year:

2024

Bibliographic description:

Stefański T., Gulgowski J., Tsakmakidis K. L.: Absorbing Boundary Conditions Derived Based on Pauli Matrices Algebra// IEEE Antennas and Wireless Propagation Letters -Vol. 23, (2024), s.1-5

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