Electromagnetic waves in a wormhole geometry

TL;DR

This paper studies how electromagnetic waves travel through a static wormhole, modeling the problem with a Schrödinger-like equation, calculating transmission coefficients, and analyzing polarization effects caused by gravitational scattering.

Contribution

It introduces a novel approach to analyze electromagnetic wave propagation in wormhole geometries using a Schrödinger-like framework and numerical calculations.

Findings

Transmission coefficient varies with energy.

Polarization of outgoing radiation is affected by gravitational scattering.

Wave propagation can be modeled as a one-dimensional Schrödinger-like problem.

Abstract

We investigate the propagation of electromagnetic waves through a static wormhole. It is shown that the problem can be reduced to a one-dimensional Schr\"odinger-like equation with a barrier-type potential. Using numerical methods, we calculate the transmission coefficient as a function of the energy. We also discuss the polarization of the outgoing radiation due to this gravitational scattering.