Light scattering from stationary $\mathcal{PT}$-symmetric collections of particles

TL;DR

This paper develops a scattering theory for deterministic and random collections of particles with parity-time symmetry, focusing on their structure factors and light scattering properties, including an example with gain and loss particles.

Contribution

It introduces a new potential scattering theory for $ ext{PT}$-symmetric particle collections, elucidating their structure and pair-structure factors, and provides an example involving light scattering with gain and loss.

Findings

Derived forms of structure and pair-structure factors.

Analyzed light scattering from $ ext{PT}$-symmetric particles.

Presented an example with gain and loss particles.

Abstract

A potential scattering theory from deterministic and random $\mathcal{PT}$ collections of particles with gain and loss is introduced and the forms of their structure and pair-structure factors are elucidated. An example relating to light scattering from a random distribution of a pair of particles with gain and loss is considered.