Grating Profile Reconstruction Based on Finite Elements and Optimization Techniques
From MaRDI portal
Publication:4441880
DOI10.1137/S0036139902420018zbMath1059.35165MaRDI QIDQ4441880
Johannes Elschner, George C. Hsiao, Andreas Rathsfeld
Publication date: 8 January 2004
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves and radiation in optics and electromagnetic theory (78A40) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Optimization problems in optics and electromagnetic theory (78M50)
Related Items (13)
Uniqueness results in the inverse scattering problem for periodic structures ⋮ A novel method in determining a layered periodic structure ⋮ A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation ⋮ A linear sampling method for inverse problems of diffraction gratings of mixed type ⋮ Imaging of periodic dielectrics ⋮ Inverse electromagnetic diffraction by biperiodic dielectric gratings ⋮ Periodic surface identification with phase or phaseless near-field data ⋮ Reverse time migration for imaging periodic obstacles with electromagnetic plane wave ⋮ Mathematical analysis and numerical methods for inverse scattering problems ⋮ Inverse Scattering by a Random Periodic Structure ⋮ Operator expansions and constrained quadratic optimization for interface reconstruction: impenetrable periodic acoustic media ⋮ Numerical Method of Profile Reconstruction for a Periodic Transmission Problem from Single-Sided Data ⋮ A nonlinear least squares framework for periodic grating identification with a high-order perturbation of surfaces implementation
Uses Software
This page was built for publication: Grating Profile Reconstruction Based on Finite Elements and Optimization Techniques
