Superradiance in a Two-Dimensional Photonic Bandgap Structure

Abstract

-We study the superradiant decay of an ensemble of inverted two-level atoms embedded into both a continuous dielectric and a 2D photonic crystal with lateral confinement of the radiation. The nonlinear superradiance pulse characteristics are calculated using a Green function based model. Specifically, we predict fast phase synchronization across the ensemble that builds up a distributed feedback structure responsible for the superradition anisotropy and directional switching. We show that the transfer of the optical excitation takes place along the Bragg planes and is manifested by strong energy localization.

Gap soliton gating, dissociation, and retrieval via defect mode excitation in a resonant photonic crystal

“…2 (a)]. As the delay time between the soliton and anti-soliton grows, the pattern discussed in our earlier publications [6,7] (and not shown here) emerges: the unstable breather is formed that is dissociated later on owing to the barrier created by the gain strip for the second pulse (anti-soliton). Further increase of the delay leads to a completely new and unexpected result [ Fig.…”

“…It turns out that the periodicity breakup is unnecessary for the GS to be trapped inside the RPC because a weak non-propagating field creates a potential that acts as a phase-sensitive trap. In this Letter, using the results of a detailed and extensive theoretical study of excitation trapping inside RPCs [6,7], a further interesting consequences of inverting a small length inside a RPC is explored: all-optical filtering and memory cell effect.First of all, relevant expressions from the theory are abstracted and adapted. Assuming a collinear, distributed feedback two-wave interaction in a medium of periodically positioned two-level atoms, the governing Maxwell-Bloch equations take the form [5-7]: , P x t…”

“…This suggest that such building block of future optical computing as gap soliton (GS) might be experimentally feasible at moderate level of light intensity ∼ 10 MW/cm 2 . Recently, we have proposed an effective mean of control over these solitons when a defect associated with a weak linear excitation or incoherent pump inside a resonant photonic crystal (RPC) modifies GS propagation [5][6][7]. It turns out that the periodicity breakup is unnecessary for the GS to be trapped inside the RPC because a weak non-propagating field creates a potential that acts as a phase-sensitive trap.…”

“…It turns out that the periodicity breakup is unnecessary for the GS to be trapped inside the RPC because a weak non-propagating field creates a potential that acts as a phase-sensitive trap. In this Letter, using the results of a detailed and extensive theoretical study of excitation trapping inside RPCs [6,7], a further interesting consequences of inverting a small length inside a RPC is explored: all-optical filtering and memory cell effect.…”

Traveling waves of the regularized short pulse equation

“…Nonlinear media present an especially interesting setting for the propagation of such pulses due to their intensity-dependent refractive index. As a result, there is a continuously expanding volume of literature attempting to model and systematically explore such pulses using a diverse array of arXiv:1403.1651v1 [nlin.PS] 7 Mar 2014 nonlinear wave equations, including in one-dimension (1D) the modified Kortewegde Vries (mKdV) equation [2], the sine-Gordon (sG) equation [3,4], and combined mKdV-sG equations [5,6,7] (see also the recent review [8]). Relevant models have also been developed by adapting to special settings such as, e.g., near the zero dispersion frequency [9].…”