scientific article; zbMATH DE number 1021777

zbMath0878.35112MaRDI QIDQ4339614

Frederic Poupaud, Peter Alexander Markowich

Publication date: 16 June 1997

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1996_4_23_2_301_0

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zbMATH Keywords

Maxwell's equationsperiodic mediumWigner measureselectromagnetic energy density

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Technical applications of optics and electromagnetic theory (78A55) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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A Multiscale Approach and a Hybrid FE-FDTD Algorithm for 3D Time-Dependent Maxwell's Equations in Composite Materials ⋮ Homogenization of time harmonic Maxwell equations and the frequency dispersion effect ⋮ Stochastic-periodic homogenization of Maxwell's equations with linear and periodic conductivity ⋮ Semiclassical analysis of the Schrödinger equation with a partially confining potential ⋮ Homogenization of the Maxwell equations. Case I: Linear theory. ⋮ Homogenization of the Maxwell equations. Case II: Nonlinear conductivity.

Cites Work

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• Theory of Bloch waves
• On Wigner measures
• Oscillations and Energy Densities in the Wave Equation
• A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential
• THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D

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