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Multimodal Genetic Algorithm with Phase Analysis to Solve Complex Equations of Electromagnetic Analysis

Abstract

In this contribution, a new genetic-algorithm-based method of finding roots and poles of a complex function of a complex variable is presented. The algorithm employs the phase analysis of the function to explore the complex plane with the use of the genetic algorithm. Hence, the candidate regions of root and pole occurrences are selected and verified with the use of discrete Cauchy's argument principle. The algorithm is evaluated in an electromagnetic benchmark that successfully solves the eigenvalue problem determining the propagation of surface waves along a spatially dispersive graphene sheet. The numerical results show that the possibility to find all roots and poles of the function may be limited by the initial population size, especially when the search region is large and roots and poles are located close to each other.

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Category:
Conference activity
Type:
publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Title of issue:
2020 23rd International Microwave and Radar Conference (MIKON) strony 24 - 29
Language:
English
Publication year:
2020
Bibliographic description:
Trofimowicz D., Stefanski T.: Multimodal Genetic Algorithm with Phase Analysis to Solve Complex Equations of Electromagnetic Analysis// 2020 23rd International Microwave and Radar Conference (MIKON)/ : , 2020, s.24-29
DOI:
Digital Object Identifier (open in new tab) 10.23919/mikon48703.2020.9253803
Verified by:
Gdańsk University of Technology

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