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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Slow light generation in a resonance photonic crystal

Igor V. Mel’nikov, Anton N. Knigavko, James Stewart Aitchison, Clark A. Merchant

Published Jan 10, 2008• 1 citation
Publisher

Abstract

We demonstrate interesting and previously unforeseen properties of a pair of gap solitons in a resonant photonic crystal which can be predicted and explained in a physically transparent form using both analytical and numerical methods. The most important result is the fact that we are able to show that the oscillating gap soliton created by the presence of an inversion inside the crystal can be manipulated by means of a proper choice of bit rate, phase and amplitude modulation. Using this approach, we were able to obtain qualitatively different regimes of the resonant photonic crystal operation. A noticeable observation is that both the delay time and amplitude difference must exceed a certain level to ensure effective control over soliton dynamics. The modification of the defect that accomplishes the soliton trapping can make the dynamics of N soliton trains in the resonant photonic crystal with defects even more interesting and is a subject of the future work.

DOI
10.1117/12.763068

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We demonstrate interesting and previously unforeseen properties of a pair of gap solitons in a resonant photonic crystal which can be predicted and explained in a physically transparent form using both analytical and numerical methods. The most important result is the fact that we are able to show that the oscillating gap soliton created by the presence of an inversion inside the crystal can be manipulated by means of a proper choice of bit rate, phase and amplitude modulation. Using this approach, we were able to obtain qualitatively different regimes of the resonant photonic crystal operation. A noticeable observation is that both the delay time and amplitude difference must exceed a certain level to ensure effective control over soliton dynamics. The modification of the defect that accomplishes the soliton trapping can make the dynamics of N soliton trains in the resonant photonic crystal with defects even more interesting and is a subject of the future work.
The history of resonance photonic crystals started with the pursuit for control over spontaneous decay in a photonic bandgap structure. Initiated by Bykov in optics, it was however implemented for the first time in the microwave domain by Yablonovitch et al. in 1991. This prediction of suppression of spontaneous emission of photons by a two-level atom turned into enhancement of optical nonlinearities, optical soliton generation and transport, and addressable light localization that is due to both structure and optically active defect created inside the crystal. This article reviews both fundamental theoretical ideas in the resonance photonic crystal with defect inside and selected experimental developments in the sense that reflects interests and expertise of the author.
The interaction between the exact gap solitons (GS) and localized linear modes in the 1D resonant photonic crystal (RPC) is investigated by means of both analytical treatment and numerical integration of the bi-directional Maxwell-Bloch equations. This interaction is shown to modify the GS dynamics in the most radical way. That is, the GS is shown to be trapped or reflected and the direction and GS velocity can be changed as a result of the inelastic collision of the two exact GS in the area of localization of the linear mode of the PC. The same result is also valid when the GS traverses the length of the atoms which are incoherently inverted. Therefore, this study demonstrates the possibility of the management for an intense GS pulse by means of a weak linear field or by a low-intensity incoherent pump, that is, without creating a defect.