Quasicompactons in inverted nonlinear photonic crystals

Abstract

We study large-amplitude one-dimensional solitary waves in photonic crystals featuring competition between linear and nonlinear lattices, with minima of the linear potential coinciding with maxima of the nonlinear pseudopotential, and vice versa (inverted nonlinear photonic crystals, INPCs), in the case of the saturable self-focusing nonlinearity. Such crystals were recently fabricated using a mixture of SU-8 and Rhodamine-B optical materials. By means of numerical methods and analytical approximations, we find that large-amplitude solitons are broad sharply localized stable pulses (quasicompactons, QCs). With the increase of the total power, P , the QC's centroid performs multiple switchings between minima and maxima of the linear potential. Unlike cubic INPCs, the large-amplitude solitons are mobile in the medium with the saturable nonlinearity. The threshold value of the kick necessary to set the soliton in motion is found as a function of P . Collisions between moving QCs are considered too.

Discrete vortices on anisotropic lattices

“…The nonlinear propagation of an optical wave in a periodic system can lead to the formation of a variety of localized states [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Discrete vortices on twodimensional (2D) nonlinear lattices, which are localized states of an optical wave with an embedded nonzero phase circulation over a closed lattice contour, have attracted considerable attention over the past decade [19][20][21][22][23][24][25][26][27][28][29][30].…”

Solitary vortices in two-dimensional waveguide matrix

“…Recently, guiding wave by means of resonance periodic systems can gain more freedom to control the light fields. [25][26][27][28][29][30][31][32][33][34] Among these phenomena, discrete solitons, [35][36][37] which is governed by the balance between optical tunneling to adjacent sites (or waveguides) and nonlinearity, attract great attention. It was predicted that discrete soliton in nonlinear waveguide array networks can provide a rich environment for all-optical data processing applications: they can realize intelligent functional operations such as routing, blocking, logic functions and time-gating.…”

All-optical diode realized by one-dimensional waveguide array

“…Recently, guiding wave by means of resonance periodical systems can gain more freedom to control the light fields. [40][41][42][43][44][45][46][47] Among these phenomena, discrete solitons, [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64] which are governed by the balance between optical tunneling to adjacent sites (or waveguides) and nonlinearity, attract great attention. It was predicted that discrete soliton in nonlinear waveguide array networks can provide a rich environment for all-optical data processing applications: They can realize intelligent functional operations such as routing, blocking, logic functions and time-gating.…”