Solution of Maxwell's Equations

TL;DR

This paper presents a general method for solving Maxwell's equations with inhomogeneous sources in anisotropic media using Fourier transform techniques, and confirms the solutions with new wave equations.

Contribution

It introduces a comprehensive solution approach for Maxwell's equations with arbitrary sources in anisotropic media, including derivation of new coupling-free wave equations.

Findings

Solution handles arbitrary current sources.

Method confirmed with propagators of new wave equations.

Applicable to anisotropic environments.

Abstract

The Maxwell's equations are solved when it has an inhomogeneous terms as a source. The solution is very general in a sense that it handles arbitrary current source and anisotropic media. The calculation is carried out in the k-domain after Fourier transform, and its results are confirmed with the propagators of the new coupling-free wave equations derived from the Maxwell equations for anisotropic environments.