2001/04/30 by Serge F. Mingaleev, Yuri S. Kivshar, Mingaleev, Serge F. +1 · 1 citation
Physics and Astronomy · #Advanced Fiber Laser Technologies #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Nonlinear Photonic Systems #Optics (physics.optics) #Photonic Crystals and Applications #cond-mat.dis-nn #physics.optics
paper · pdf · doi:10.48550/arxiv.physics/0104088
20 pages (LaTeX) with 12 figures (EPS)
openalex publication_date 2001/04/30 · arxiv created 2001/05/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We overview our recent results on the nonlinear localized modes in two-dimensional (2D) photonic crystals and photonic-crystal waveguides. Employing the technique based on the Green function, we describe the existence domains for 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 square-lattice photonic crystals, which are usually unstable, can be stabilized due to effective long-range linear and nonlinear interactions.