Imaging of periodic dielectrics

DOI10.1007/s10543-010-0255-7zbMath1194.78018OpenAlexW1969916553MaRDI QIDQ2379364

Armin Lechleiter

Publication date: 19 March 2010

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-010-0255-7

zbMATH Keywords

factorization methoddiffraction gratinginverse scatteringoptical microscopyperiodic inverse transmission problem

Mathematics Subject Classification ID

Inverse problems for waves in solid mechanics (74J25) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (9)

Uniqueness results in the inverse scattering problem for periodic structures ⋮ Imaging of bi-anisotropic periodic structures from electromagnetic near-field data ⋮ The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure ⋮ Efficient finite element method for grating profile reconstruction ⋮ On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem ⋮ The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces ⋮ Numerical Method of Profile Reconstruction for a Periodic Transmission Problem from Single-Sided Data ⋮ Factorization method for imaging a local perturbation in inhomogeneous periodic layers from far field measurements ⋮ Shape identification of anisotropic diffraction gratings for TM-polarized electromagnetic waves

Cites Work

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• The factorization method is independent of transmission eigenvalues
• A complete factorization method for scattering by periodic surfaces
• The factorization method in inverse elastic scattering from penetrable bodies
• Diffraction in periodic structures and optimal design of binary gratings. Part I: direct problems and gradient formulas
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Grating Profile Reconstruction Based on Finite Elements and Optimization Techniques
• The factorization method in inverse scattering from periodic structures
• The factorization method for a class of inverse elliptic problems

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