An attractive analytic solution of the Maxwell's equation

TL;DR

This paper presents an elegant analytic solution to Maxwell's equations for smooth periodic initial conditions, demonstrating its simplicity and effectiveness through illustrative examples.

Contribution

It introduces a novel analytic approach to solving Maxwell's equations with periodic initial conditions, simplifying the complexity similar to Fourier expansions.

Findings

Solution is comparable in complexity to Fourier series

Provides demonstrative examples validating the approach

Offers an attractive analytic method for Maxwell's equations

Abstract

In this paper, we provide an attractive analytic solution for Maxwell's equation for a given set of smooth periodic functions as initial condition with demonstrative examples. The complexity of the solution is comparable to the Fourier expansions of the initial functions.