Inverse Scattering by a Random Periodic Structure

DOI10.1137/20M132167XzbMath1452.78015arXiv2003.00642OpenAlexW3093367244MaRDI QIDQ5130584

Yiwen Lin, Xiang Xu, Gang Bao

Publication date: 28 October 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00642

zbMATH Keywords

Helmholtz equationinverse scatteringKarhunen-Loève expansionrandom periodic structureMonte Carlo continuation uncertainty quantification method

Mathematics Subject Classification ID

Bayesian inference (62F15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solutions to stochastic differential and integral equations (65C30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (4)

Inverse Source Problems for the Stochastic Wave Equations: Far-Field Patterns ⋮ A numerical method for a backward problem of a linear stochastic Kuramoto-Sivashinsky equation ⋮ Inverse elastic scattering by random periodic structures ⋮ Mathematical analysis and numerical methods for inverse scattering problems

Cites Work

• Numerical solution of optimal design problems for binary gratings
• Inverse problems for scattering by periodic structures
• Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems
• Mathematical Modeling in Optical Science
• Near-Field Imaging of Infinite Rough Surfaces in Dielectric Media
• Introduction to Uncertainty Quantification
• Unique determination of periodic polyhedral structures by scattered electromagnetic fields
• Integral Equation Methods in a Quasi-Periodic Diffraction Problem for the Time-Harmonic Maxwell’s Equations
• Uniqueness theorems in inverse scattering theory for periodic structures
• A uniqueness theorem for an inverse problem in periodic diffractive optics
• Optimal design of periodic antireflective structures for the Helmholtz equation
• A two-step algorithm for the reconstruction of perfectly reflecting periodic profiles
• Grating Profile Reconstruction Based on Finite Elements and Optimization Techniques
• An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
• The factorization method in inverse scattering from periodic structures
• Iterative regularization schemes in inverse scattering by periodic structures
• A high-order perturbation approach to profile reconstruction: I. Perfectly conducting gratings
• An Efficient Monte Carlo-Transformed Field Expansion Method for Electromagnetic Wave Scattering by Random Rough Surfaces
• Optimal design of periodic diffractive structures
• Unnamed Item
• Unnamed Item

This page was built for publication: Inverse Scattering by a Random Periodic Structure