Diffractive optics in nonlinear media with periodic structure

DOI10.1017/S0956792500002072zbMath0857.35119OpenAlexW1968394568MaRDI QIDQ4889832

Gang Bao, David C. Dobson

Publication date: 4 December 1996

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792500002072

zbMATH Keywords

finite elementsMaxwell's equationsnonlinear mediumfixed-point iteration schemediffraction of time-harmonic waves

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45)

Related Items (5)

Inverse problems for scattering by periodic structures ⋮ An \(L^{p}\) estimate for Maxwell's equations with source term. ⋮ Excitation of Bound States in the Continuum via Second Harmonic Generations ⋮ Analysis of thin coatings of nonlinear diffraction gratings ⋮ Optimal design of nonlinear diffraction gratings.

Cites Work

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• Mathematics in industrial problems. Part 3
• The time-harmonic Maxwell equations in a doubly periodic structure
• Variational methods for underwater acoustic problems
• Maxwell's Equations in a Periodic Structure
• The Localized Finite Element Method and Its Application to the Two-Dimensional Sea-Keeping Problem
• A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
• Optimization of a photocell
• Second harmonic generation in nonlinear optical films
• Applications of functional analysis and operator theory

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