Representaciones integrales para el campo electromagnetico en medios chirales
Vladislav Kravchenko, Hector Oviedo
TL;DR
This paper applies quaternionic analysis to Maxwell's equations in chiral media, simplifying formulas and establishing criteria for extending electromagnetic fields across surfaces.
Contribution
It introduces quaternionic methods to analyze chiral media, providing new simplifications and criteria for field extension in electromagnetic theory.
Findings
Simplified Stratton-Chu formulas for chiral media
Criterion for electromagnetic field extendability
Application of quaternionic analysis to Maxwell equations
Abstract
The Maxwell equations for chiral media are treated with the aid of quaternionic analysis methods. Besides the possibility of simplification of the form of such basic facts like the Stratton-Chu formulas we obtain a criterion for the extendability of the electromagnetic field from a sufficiently smooth closed surface to its interior or exterior domain.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Spanish Philosophy and Literature · Numerical methods for differential equations