Rigorous solutions for electromagnetic scattering from rough surfaces

M Saillard, A Sentenac - Waves in random media, 2001 - Taylor & Francis
First, the rough surface scattering problem is formulated from a statistical point of view. Then,
different numerical schemes that permit one to solve Maxwell equations without …

[图书][B] Infinite matrices and their finite sections: An introduction to the limit operator method

M Lindner - 2006 - books.google.com
In this book we are concerned with the study of a certain class of in? nite matrices and two
important properties of them: their Fredholmness and the stability of the approximation by …

Existence, uniqueness, and variational methods for scattering by unbounded rough surfaces

SN Chandler-Wilde, P Monk - SIAM Journal on Mathematical Analysis, 2005 - SIAM
In this paper we study, via variational methods, the problem of scattering of time harmonic
acoustic waves by an unbounded sound soft surface. The boundary partialD is assumed to …

Variational approach in weighted Sobolev spaces to scattering by unbounded rough surfaces

SN Chandler-Wilde, J Elschner - SIAM journal on mathematical analysis, 2010 - SIAM
We consider the problem of scattering of time harmonic acoustic waves by an unbounded
sound soft surface which is assumed to lie within a finite distance of some plane. The paper …

Shape reconstruction of the multi-scale rough surface from multi-frequency phaseless data

G Bao, L Zhang - Inverse Problems, 2016 - iopscience.iop.org
We consider the problem of reconstructing the shape of multi-scale sound-soft large rough
surfaces from phases measurements of the scattered field generated by tapered waves with …

Integral equation methods for scattering by infinite rough surfaces

B Zhang, SN Chandler‐Wilde - Mathematical Methods in the …, 2003 - Wiley Online Library
In this paper, we consider the Dirichlet and impedance boundary value problems for the
Helmholtz equation in a non‐locally perturbed half‐plane. These boundary value problems …

Near-field imaging of infinite rough surfaces

G Bao, P Li - SIAM Journal on Applied Mathematics, 2013 - SIAM
This paper is concerned with an inverse rough surface scattering problem in near-field
optical imaging, which is to reconstruct the scattering surface with a resolution beyond the …

Time-harmonic acoustic scattering from locally perturbed periodic curves

G Hu, W Lu, A Rathsfeld - SIAM Journal on Applied Mathematics, 2021 - SIAM
For the Dirichlet rough-surface scattering problem in two dimensions, we prove that the
Green's function defined with the angular spectrum representation radiation condition …

Near-field imaging of infinite rough surfaces in dielectric media

G Bao, P Li - SIAM Journal on Imaging Sciences, 2014 - SIAM
This paper is concerned with an inverse surface scattering problem in near-field optical
imaging, which is to reconstruct the scattering surface of a dielectric medium with a …

Imaging of locally rough surfaces from intensity-only far-field or near-field data

B Zhang, H Zhang - Inverse Problems, 2017 - iopscience.iop.org
This paper is concerned with a nonlinear imaging problem, which aims to reconstruct a
locally perturbed, perfectly reflecting, infinite plane from intensity-only (or phaseless) far-field …