Reconstruction of periodic gratings from one scattered wave

DOI10.1016/J.MATCOM.2004.02.013zbMath1051.78011OpenAlexW2089664137MaRDI QIDQ1877737

Frank Hettlich

Publication date: 19 August 2004

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2004.02.013

zbMATH Keywords

Helmholtz equationperiodic structuresinverse scattering

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Scattering theory of linear operators (47A40) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02)

Cites Work

• Unnamed Item
• Modeling and optimal design of diffractive optical structures
• Inverse acoustic and electromagnetic scattering theory.
• On the convergence of a new Newton-type method in inverse scattering
• Diffraction in periodic structures and optimal design of binary gratings. Part I: direct problems and gradient formulas
• A quasi-Newton method in inverse obstacle scattering
• Schiffer's theorem in inverse scattering theory for periodic structures
• Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
• The factorization method in inverse scattering from periodic structures
• Iterative regularization schemes in inverse scattering by periodic structures
• A Second Degree Method for Nonlinear Inverse Problems

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