Scattering of partially coherent radiation by non-Hermitian localized structures having parity-time symmetry

Abstract

A theoretical model based on two point scatterers is suggested to investigate for the first time scattering of partially coherent radiation by a non-Hermitian localized structure, invariant under the simultaneous symmetry operations of parity inversion and time reversal. Within the first-order Born approximation, and the formalism of classical coherence theory, the spectral density of the scattered field in the far-zone is obtained analytically. We find that the unidirectional character of the scattered radiation, which is one of the principal effects present in non-Hermitian structures, may be suppressed due to the coherence properties of the radiation without changing the geometry of the structure. Asymmetric spectral changes of the scattered radiation due to the non-Hermitian character of the material is also observed. I.arXiv:1908.00644v2 [physics.optics]

Scattering theory for stationary materials with $\mathcal{PT}$ symmetry

“…Various aspects of stochastic light scattering from deterministic PT -symmetric media were recently discussed in Refs. [16], [17] and [18]. The results of these studies can be deduced from the general theory developed here in the completely correlated medium limit.…”

Estimations of the Optical Equivalence Theorem for Opto-Mechanical Systems for Investigation in General Relativity and High-Energy Physics

“…The scattering of partially coherent radiation caused by non-Hermitian structures, such as those for which PT symmetry is not conserved, with coherent systems is studied in [76].…”

“…The systems described in [76], i.e., which do not conserve PT symmetry, can also be affected by spectral singularities [38].…”

Scattering of Partially Coherent Vector Beams by a Deterministic Medium Having Parity-Time Symmetry

“…More recently, the scattering of partially coherent light by a deterministic medium with parity-time (PT) symmetric scattering potential has been studied [54]. The notion of PT symmetry is initially proposed in quantum mechanics that generalizes the real Hermitian systems into the complex domain [55,56].…”

“…The PT symmetry in optics has found numerous applications, such as in unidirectional invisibility, anisotropic transmission resonances, single-particle detection, microlaser, robust wireless power transfer, and topological insulators [58,59]. The partially coherent Gaussian Schell-model beam scattered by the PT deterministic media, such as the two-point scatterers [54,[60][61][62], localized continuous materials [63], and periodic materials with loss and gain [64] have been studied. It has been shown that the non-Hermitian property of the scattering potential induces anomalous spectral and spatial changes in the partially coherent scattered fields.…”