## Gap soliton and quasi-linear 2π pulse in continuous resonant photonic crystals |

JOSA B, Vol. 30, Issue 8, pp. 2240-2247 (2013)

http://dx.doi.org/10.1364/JOSAB.30.002240

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### Abstract

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”

© 2013 Optical Society of America

**OCIS Codes**

(270.1670) Quantum optics : Coherent optical effects

(270.5530) Quantum optics : Pulse propagation and temporal solitons

(050.5298) Diffraction and gratings : Photonic crystals

**ToC Category:**

Diffraction and Gratings

**History**

Original Manuscript: April 23, 2013

Revised Manuscript: June 22, 2013

Manuscript Accepted: June 23, 2013

Published: July 24, 2013

**Citation**

Lidiya V. Frolova, Alexander A. Skorynin, and Boris I. Mantsyzov, "Gap soliton and quasi-linear 2π pulse in continuous resonant photonic crystals," J. Opt. Soc. Am. B **30**, 2240-2247 (2013)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-8-2240

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