Comment on "Scattering of light by a parity-time-symmetric dipole beyond the first Born approximation"

Abstract

In the work by Rebouças and Brandão [Phys. Rev. A 104, 063514 (2021)2469-992610.1103/PhysRevA.104.063514] the authors compute the scattering amplitude for a PT-symmetric double-δ-function potential in three dimensions by invoking the far-zone approximation and summing the resulting Born series. We show that the analysis of this paper suffers from a basic error. Therefore, its results are inconclusive. We give an exact closed-form expression for the scattering amplitude of this potential.