Nonreciprocal nonlinear wave scattering by loss-compensated active hyperbolic structures

Abstract

The combinatorial frequency generation (CFG) in active periodic semiconductor-dielectric structures has been explored through illumination by a pair of pump waves with dissimilar frequencies and incidence angles. We study the influence of gain on linear refraction properties of the stack and on the efficiency of the mixing processes by the system with the resistive character of nonlinearity. We demonstrate that the introduction of gain dielectric material inside the stack not only compensates for losses caused by the collisions of the electrons in semiconductor media but also improves the efficiency of the CFG. We show that in systems with weak asymmetry of linear response we can get significant nonreciprocity of nonlinear interaction.

Solitons in ${\mathscr{P}}{\mathscr{T}}$-symmetric ladders of optical waveguides

“…In fact the parametric flexibility is but one of the whole range of unusual properties of optical  -symmetric structures. Other behaviours afforded by the symmetric application of gain and loss and unattainable with standard arrangements, include the unconventional beam refraction [4][5][6], Bragg scattering [7], nonreciprocal light propagation [8][9][10] and Bloch oscillations [11], loss-induced transparency [12], singlemode lasing [13], coherent perfect absorption of light [14], loss-induced onset of lasing [15] and conical diffraction [16]. The  -symmetric systems are expected to promote an efficient control of light, including alloptical low-threshold [17,18,21] and asymmetric [22] switching and unidirectional invisibility [6,17,23,24].…”

“…The PT -symmetric systems are expected to promote an efficient control of light, including all-optical low-threshold [17,18,21] and asymmetric [22] switching and unidirectional invisibility [6,17,23,24]. There is also a rapidly growing interest in the context of plasmonics [25], quantum optics of atomic gases [26], optomechanical systems [27,28] and metamaterials [10,29].…”

Switching Purcell effect with nonlinear epsilon-near-zero media

“…stratified structures 57 . Nonlinear wave propagation within a stratified medium has been analytically studied only for s polarized incidences 57 and has been approximated for p polarized incidences [62][63][64] . However, the recent observation of strong nonlinearity at the ENZ wavelengths for p polarized incidences 37 raises the need for a robust analytical formulation to study full-wave non- The nonlinear effective permittivity of the HMM slab when the pump is on.…”