Beltrami Flows, Non-Diffracting Waves and the Axion Beltrami-Maxwell Postulates

TL;DR

This paper introduces special non-dispersive wave solutions in various coordinate systems, highlighting their relevance in Axion-Maxwell theory and potential applications in material science and topological insulators.

Contribution

It presents a new class of non-dispersive wave solutions in different coordinate systems within Axion-Maxwell theory, emphasizing their topological and physical significance.

Findings

Solutions propagate envelope of vorticity

Includes topological waves with parallel electric and magnetic fields

Potential applications in topological insulators

Abstract

We present a particular class of solutions in Cartesian, cylindrical and spherical coordinates of the non-dispersive travelling wave variety that propagate an envelope of varying vorticity some of which include topological waves with parallel electric and magnetic components. The significance of these solutions is examined in the recently proposed Axion-Maxwell field theory with potential applications in material science and topological insulators.