Anomalous Faraday effect in a $\mathcal{P}\mathcal{T}$-symmetric dielectric slab

TL;DR

This paper investigates an unusual phase transition-like behavior of Faraday rotation angles in a $ ext{PT}$-symmetric dielectric slab, revealing negative angles and spectral singularities with strong enhancements.

Contribution

It introduces a simple $ ext{PT}$-symmetric model demonstrating anomalous Faraday effects and spectral singularities, highlighting new phenomena in magneto-optical systems.

Findings

Faraday rotation angles can become negative in the anomalous phase

Spectral singularities cause strong enhancement of Faraday angles

The model exhibits phase transition-like behavior in optical properties

Abstract

In this letter we discuss a phase transition-like anomalous behavior of Faraday rotation angles in a simple parity-time ($\mathcal{P}\mathcal{T}$) symmetric model with two complex $\delta$-potential placed at both boundaries of a regular dielectric slab. In anomalous phase, the value of one of Faraday rotation angles may turn negative, and both angles suffer spectral singularities and yield strong enhancement near singularities.