The nonlinear effect from the interplay between the nonlinearity and the supercollimation of photonic crystal

Abstract

A quantitative analysis of self-collimation effects in planar photonic crystals

Super-collimation with high frequency sensitivity in 2D photonic crystals induced by saddle-type van Hove singularities

“…However, for certain other applications, extremely narrow approximate-SC frequency range, with low group velocity υ g is more useful. Examples include devices which explore interplay between SC and nonlinearity [24][25][26][27], or those that explore laser design with SC [28][29][30]. In other words, high FSSC is desired: in that case, the curvature of EFCs strongly deviates from zero when the working frequency ω is even only a little bit different from ω sc .…”

Switchable self-defocusing and focusing in nearly isotropic photonic crystals via enhanced inverse diffraction

“…Moreover, the expansion rate induced by diffraction was amplified remarkably [1]. Different from controlling nonlinear effect by strong anisotropy originated from flat equifrequency contour [20,21], the equifrequency contour of our PhC at the operating frequency was nearly a circle as shown in the inset of Fig. 1(b), indicating relatively good isotropy of the PhC.…”

“…* scwen@hnu.edu.cn PhCs are manmade periodic structures that can exhibit unusual linear optical properties not attainable in natural materials such as negative refractive index [11][12][13][14][15] and an artificial magnetic response [16,17]. Recently, many researchers have studied the influences of infiltrating nonlinear elements into these periodic nanostructures [18][19][20][21][22][23][24][25][26]. Although numerous results about nonlinear PhCs have been reported, only a few papers have considered the potential of controlling of self-focusing in nonlinear PhCs [20,21].…”

“…Recently, many researchers have studied the influences of infiltrating nonlinear elements into these periodic nanostructures [18][19][20][21][22][23][24][25][26]. Although numerous results about nonlinear PhCs have been reported, only a few papers have considered the potential of controlling of self-focusing in nonlinear PhCs [20,21]. Moreover, their controlling mechanisms, which are similar to those of focusing microwave radar signals by virtual hyperbolic metamaterials [27], were based on the strong and sensitive anisotropy in the self-collimation frequency range whose bandwidth is very narrow.…”

Wide-range and tunable diffraction management using 2D rectangular lattice photonic crystals

“…Some diffraction-related phenomena in PhCs have been achieved, such as negative refraction [15][16][17] and super-collimation (SC) [18][19][20][21][22], which originate from the negative and zero curvature of EFCs, respectively. Studies of spatial solitions using PhCs with tailored diffraction properties have also been reported [23][24][25][26].…”