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IEEE Lasers and Electro-Optics Society Annual Meeting (LEOS)

Light-by-light control in a resonant photonic crystal

Igor V. Mel’nikov, James Stewart Aitchison, Boris I. Mantsyzov

Published Sep 28, 2004• 0 citations
Publisher

Abstract

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.

DOI
10.1109/leos.2003.1251698

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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.
Nonlinear interaction of coherent intensive optical radiation with continuous resonant photonic crystal (RPC) is analytically and numerically studied in the framework of semiclassical approach using the two-wave Maxwell–Bloch equations. The analytical solution being the gap soliton of self-induced transparency is obtained in the case of an initially unexcited continuous RPC. This solution is confirmed numerically. Influence of both initial inversion and resonant atom concentration function profile on the pulse dynamics in continuous RPC is analyzed. Suppression of the Bragg reflection and a “quasi-linear” 2π pulse propagation in the case of zero initial inversion in continuous RPC is shown. The possibility of laser pulse compression using slow spatial changing of resonant atom concentration is demonstrated.
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.