On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium
Sergei M. Grudsky, Kira V. Khmelnytskaya, Vladislav V. Kravchenko
TL;DR
This paper derives a quaternionic formulation of Maxwell's equations in chiral media, providing a fundamental solution that enables solving time-dependent electromagnetic problems with sources.
Contribution
It introduces a quaternionic equation for chiral Maxwell's equations and constructs its fundamental solution respecting causality.
Findings
Derived a quaternionic form of Maxwell's equations in chiral media
Obtained a fundamental solution satisfying causality
Enabled solving time-dependent electromagnetic problems with sources
Abstract
Maxwell's equations for the time-dependent electromagnetic field in a homogeneous chiral medium are reduced to a single quaternionic equation. Its fundamental solution satisfying the causality principle is obtained which allows us to solve the time-dependent chiral Maxwell system with sources.
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