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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