General theory of nonresonant wave interaction: Giant soliton shift in photonic band gap materialsL. Tkeshelashvili1, S. Pereira1, 2 and K. Busch1, 3
1 Institut für Theorie der Kondensierten Materie, University of Karlsruhe 76128 Karlsruhe, Germany
2 Centre d'Optique de Photonique et Laser, Université Laval St. Foy, Quebec G1K 7P4, Canada
3 Department of Physics and School of Optics: CREOL & FPCE University of Central Florida - Orlando, FL 32816, USA
received 27 February 2004; accepted in final form 16 August 2004
The nonresonant interaction of nonlinear waves in one-dimensional photonic band gap materials is investigated analytically and numerically. We derive highly accurate analytical formulae that determine the phase shift experienced by nonlinear waves during nonresonant interaction. The case of nonresonant interaction of Bragg and gap solitons is considered in detail. We show that the phase shift of the interacting solitons should be experimentally observable, and can be used as a probe to determine the existence and the parameters of a gap soliton.
42.70.Qs - Photonic bandgap materials.
42.65.-k - Nonlinear optics.
42.65.Tg - Optical solitons; nonlinear guided waves.
© EDP Sciences 2004