Fractional Electromagnetic Field Theory and Its Applications

TL;DR

This paper reviews fractional electromagnetic field theory, which models wave propagation in complex materials and includes electromagnetic memory effects, highlighting its applications in modern material science.

Contribution

It introduces fractional Maxwell equations to describe wave behavior in fractal and nonlocal materials, expanding the theoretical framework of electrodynamics.

Findings

Models electromagnetic wave propagation in complex media

Incorporates electromagnetic memory effects

Demonstrates applications in fractional metamaterials

Abstract

Fractional electromagnetic field theory describes electromagnetic wave propagation through the complex, nonlocal, dissipative, fractal and also recent artificially engineered materials know as fractional metamaterials. In this theory using the fractional Maxwell equations we are also able to consider the well-known effect of electromagnetic memory. In this review we present some applications of the powerful theory of fractional electrodynamics.