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

A potential scattering theory from deterministic and random $\mathcal{P}\mathcal{T}$ 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.