Global Complex Roots and Poles Finding Algorithm Based on Phase Analysis for Propagation and Radiation Problems

Piotr Kowalczyk

doi:10.1109/tap.2018.2869213

Global Complex Roots and Poles Finding Algorithm Based on Phase Analysis for Propagation and Radiation Problems

Abstract

A flexible and effective algorithm for complex roots and poles finding is presented. A wide class of analytic functions can be analyzed, and any arbitrarily shaped search region can be considered. The method is very simple and intuitive. It is based on sampling a function at the nodes of a regular mesh, and on the analysis of the function phase. As a result, a set of candidate regions is created and then the roots/poles are verified using a discretized Cauchy’s argument principle. The accuracy of the results can be improved by the application of a self-adaptive mesh. The effectiveness of the presented technique is supported by numerical tests involving different types of structures, where electromagnetic waves are guided and radiated. The results are verified, and the computational efficiency of the method is examined.

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Author (1)

Piotr Kowalczyk dr hab. inż.

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Publication version: Accepted or Published Version
License: Copyright (2018 IEEE)

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artykuł w czasopiśmie wyróżnionym w JCR

Published in:

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION no. 66, pages 7198 - 7205,
ISSN: 0018-926X

Language:

English

Publication year:

2018

Bibliographic description:

Kowalczyk P.: Global Complex Roots and Poles Finding Algorithm Based on Phase Analysis for Propagation and Radiation Problems// IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. -Vol. 66, iss. 12 (2018), s.7198-7205

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