Inverse problems for scattering by periodic structures

DOI10.1007/BF00390349zbMath0845.35131OpenAlexW2014293656MaRDI QIDQ1905666

Avner Friedman, Gang Bao

Publication date: 11 September 1996

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00390349

zbMATH Keywords

location of interfacesincident fieldperiodic interfacestotal field

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45)

Related Items (17)

Uniqueness results in the inverse scattering problem for periodic structures ⋮ Near-field imaging with far-field data ⋮ A linear sampling method for inverse problems of diffraction gratings of mixed type ⋮ Inverse electromagnetic diffraction by biperiodic dielectric gratings ⋮ Periodic surface identification with phase or phaseless near-field data ⋮ Mathematical analysis and numerical methods for inverse scattering problems ⋮ Inverse Scattering by a Random Periodic Structure ⋮ An inverse cavity problem for Maxwell's equations ⋮ Unique determination of periodic polyhedral structures by scattered electromagnetic fields II: The resonance case ⋮ Numerical Method of Profile Reconstruction for a Periodic Transmission Problem from Single-Sided Data ⋮ A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings ⋮ Analysis of time-domain Maxwell's equations in biperiodic structures ⋮ An Inverse Problem in Periodic Diffractive Optics: Reconstruction of Lipschitz Grating Profiles ⋮ Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number ⋮ Unique determination of periodic polyhedral structures by scattered electromagnetic fields ⋮ A nonlinear least squares framework for periodic grating identification with a high-order perturbation of surfaces implementation ⋮ An inverse problem for scattering by a doubly periodic structure

Cites Work

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• Identification problems in potential theory
• Maxwell's Equations in a Periodic Structure
• Stability for an Inverse Problem in Potential Theory
• Optimization of a photocell
• Optimal design of periodic antireflective structures for the Helmholtz equation
• Diffractive optics in nonlinear media with periodic structure

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