Dirichlet problem for electromagnetic fields in chiral media with fractal boundary

Luis Manuel Avila Nápoles, Rafael Ávila Ávila, Ricardo Abreu Blaya and Yudier Peña Pérez

Chaos, Solitons & Fractals, 2023, vol. 174, issue C

Abstract: The main goal of this work is to formulate and solve the Dirichlet problem for time-harmonic electromagnetic fields in case of chiral media with fractal boundary. To this end, a reformulation of the Maxwell system in quaternionic form is taken as a starting point. The Whitney extension theorem as well as some results from fractal geometry are used.

Keywords: Boundary value problems; Quaternionic analysis; Electromagnetic fields; Chiral media (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007804

DOI: 10.1016/j.chaos.2023.113879

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