Two-dimensional dispersive shock waves in dissipative optical media

TL;DR

This paper investigates the formation and behavior of two-dimensional dispersive shock waves and oblique dark solitons in dissipative optical media with negative refractive index defects, revealing various regimes and stability conditions.

Contribution

It introduces a detailed analysis of dispersive shock wave generation in a dissipative, negative index optical medium, highlighting the influence of defect strength and input tilt on wave stability.

Findings

Stable shock waves occur below a critical defect strength.

Different regimes include localized disturbances and extended shock waves.

Oblique dark solitons vanish downstream in certain conditions.

Abstract

We study generation of two-dimensional dispersive shock waves and oblique dark solitons upon interaction of tilted plane waves with negative refractive index defects embedded into defocusing material with linear gain and two-photon absorption. Different evolution regimes are encountered including the formation of well-localized disturbances for input tilts below critical one, and generation of extended shock waves containing multiple intensity oscillations in the "upstream" region and gradually vanishing oblique dark solitons in "downstream" region for input tilts exceeding critical one. The generation of stable dispersive shock waves is possible only below certain critical defect strength.