Quaternion Analysis for Generalized Electromagnetic Fields of Dyons in Isotropic Medium

TL;DR

This paper develops a quaternion-based analytical framework for solving time-dependent Maxwell's equations involving electric and magnetic charges in isotropic media, providing a unified approach to generalized electromagnetic fields.

Contribution

It introduces a quaternion analysis method for generalized electromagnetic fields with dyons, offering a novel, simplified solution to classical moving charge problems.

Findings

Quaternion analysis yields unique solutions for dyonic fields.

The method simplifies classical electromagnetic problem-solving.

Results are consistent with known physics of dyons in media.

Abstract

Quaternion analysis of time dependent Maxwell's equations in presence of electric and magnetic charges has been developed and the solutions for the classical problem of moving charges (electric and magnetic) are obtained in unique, simple and consistent manner.