Self-trapping of light and nonlinear localized modes in two-dimensional photonic crystals

Serge F. Mingaleev; Yuri S. Kivshar

doi:10.1117/12.424682

12 April 2001 Self-trapping of light and nonlinear localized modes in two-dimensional photonic crystals

Serge F. Mingaleev, Yuri S. Kivshar

Proceedings Volume 4271, Optical Pulse and Beam Propagation III; (2001) https://doi.org/10.1117/12.424682
Event: Photonics West 2001 - LASE, 2001, San Jose, CA, United States

Abstract

We develop a theory of nonlinear localized modes in two-dimensional (2D) photonic crystals and photonic-crystal waveguides. Employing the technique based on the Green function, we demonstrate that it provides an accurate method for investigating the existence and properties of localized defect modes. Using this technique, we describe the existence of nonlinear guided modes in photonic crystal waveguides and study their unique properties including bistability. We also show that low-amplitude nonlinear modes near the band edge of a reduced-symmetry 2D squarelattice photonic crystals, which are usually unstable, can be stabilized due to effective long-range linear and nonlinear interactions.

Citation Download Citation

Serge F. Mingaleev and Yuri S. Kivshar "Self-trapping of light and nonlinear localized modes in two-dimensional photonic crystals", Proc. SPIE 4271, Optical Pulse and Beam Propagation III, (12 April 2001); https://doi.org/10.1117/12.424682

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