DIFFRACTION OF BLOCH WAVE PACKETS FOR MAXWELL'S EQUATIONS

DOI10.1142/S0219199713500405zbMath1281.35083arXiv1202.6549MaRDI QIDQ5746948

Mariapia Palombaro, Jeffrey Rauch, Grégoire Allaire

Publication date: 11 February 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.6549

zbMATH Keywords

Maxwell's equationsBloch wavesdiffractiongeometric opticselectromagnetismdiffractive geometric optics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Schrödinger operator, Schrödinger equation (35J10) Resonance in context of PDEs (35B34) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Maxwell equations (35Q61)

Related Items (2)

Effective light dynamics in perturbed photonic crystals ⋮ Derivation of ray optics equations in photonic crystals via a semiclassical limit

Cites Work

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• Asymptotic solutions of oscillatory initial value problems
• Diffractive behavior of the wave equation in periodic media: weak convergence analysis
• Theory of Bloch waves
• Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves
• Homogenization of the Schrödinger equation and effective mass theorems
• Diffractive nonlinear geometric optics with rectification
• A General Framework for Diffractive Optics and Its Applications to Lasers with Large Spectrums and Short Pulses
• A Floquet--Bloch Decomposition of Maxwell's Equations Applied to Homogenization
• HYPERBOLIC DOMAINS OF DETERMINACY AND HAMILTON–JACOBI EQUATIONS

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