Coupled Mode Equation Modeling for Out-of-Plane Gap Solitons in 2D Photonic Crystals

DOI10.1137/120865914zbMath1270.35176arXiv1202.3583OpenAlexW2962929602MaRDI QIDQ5300565

Tomáš Dohnal, Willy Dörfler

Publication date: 27 June 2013

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3583

zbMATH Keywords

Kerr nonlinearityBloch transformationcoupled mode equationsslowly varying envelope approximationout-of-plane propagation

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Asymptotic analysis in optics and electromagnetic theory (78M35) Soliton solutions (35C08) Maxwell equations (35Q61)

Related Items (3)

Traveling waves for a quasilinear wave equation ⋮ Justification of the asymptotic coupled mode approximation of out-of-plane gap solitons in Maxwell equations ⋮ Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations

Uses Software

• deal.ii

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