Direct solution of the inverse problem for rough surface scattering at grazing incidence
@article{Spivack1992DirectSO, title={Direct solution of the inverse problem for rough surface scattering at grazing incidence}, author={Mark Spivack}, journal={Journal of Physics A}, year={1992}, volume={25}, pages={3295-3302} }
Considers the inverse scattering problem for a scalar wavefield incident at grazing angles on a one-dimensional rough surface. The problem is formulated first as a pair of coupled integral equations in two unknown functions, knowledge of which immediately yields the surface. A method is described for the direct approximate solution of this system. Preliminary results are presented in groups of complicated rough surfaces which are closely recaptured in all details except for scale.
28 Citations
Solution of the inverse-scattering problem for grazing incidence upon a rough surface
- Mathematics
- 1992
The inverse-scattering problem for a scalar wave field incident at grazing angles upon a one-dimensional moderately rough surface is considered. The problem is solved directly by treating the…
Direct Solution of the Inverse Problem for Rough Surface Scattering
- Mathematics
- 2006
We consider the inverse scattering problem for a scalar wave field incident on a perfectly conducting one-dimensional rough surface. The Dirichlet Green function for the upper half-plane is…
Rough surface reconstruction from phaseless single frequency data at grazing angles
- MathematicsInverse Problems
- 2018
We develop a method for the reconstruction of a perfectly reflecting rough surface from phaseless measurements of a field arising from single frequency scattering at grazing angles. Formulations are…
A Newton method for the reconstruction of perfectly conducting slightly rough surface profiles
- Mathematics, PhysicsIEEE Transactions on Antennas and Propagation
- 2006
A new method for the reconstruction of a one-dimensional profile of a perfectly conducting rough surface illuminated by a plane wave at a fixed frequency is addressed. By a special representation of…
Rough surface reconstruction at grazing angles by an iterated marching method.
- MathematicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2018
An iterated marching method is presented for the reconstruction of rough perfectly reflecting one-dimensional surfaces from scattered data arising from a scalar wave at grazing incidence, and the algorithm is found to exhibit a type of self-regularization.
Coherent field and specular reflection at grazing incidence on a rough surface
- Physics
- 1994
The coherent component of the field scattered at grazing angles from a slightly rough pressure release surface is found. This is valid for multiple scattering and is based upon the parabolic integral…
Numerical simulation methods for rough surface scattering
- Computer Science
- 2001
An overview of rough surface scattering and application areas of current interest is provided, and research in numerical simulation methods for both one- and two-dimensional surfaces is surveyed.
A Time Domain Point Source Method for Inverse Scattering by Rough Surfaces
- MathematicsComputing
- 2004
A new method to determine the location and shape of an unbounded rough surface from measurements of scattered electromagnetic waves based on the point source method of Potthast, which can reconstruct the total field when the incident field is not necessarily time harmonic.
Reconstruction of roughness profile of fractal surface from scattering measurement at grazing incidence
- Physics, Mathematics
- 2001
As a scalar wave is incident upon a rough surface at grazing angle, the Helmholtz wave equation can be approximated by the parabolic equation. Inverse scattering has been formulated in the form of a…
References
SHOWING 1-8 OF 8 REFERENCES
Moments of wave scattering by a rough surface
- Physics
- 1990
This paper gives the first two moments of a wave field scattered by grazing incidence on a moderately rough surface. The expressions are derived for normally distributed surfaces with arbitrary…
Rough surface scattering using the parabolic wave equation
- Physics
- 1987
The accuracy of the parabolic wave equation (PE) for calculating scattering from randomly rough, pressure‐release surfaces has been examined through comparison with exact numerical results based on…
A numerical approach to rough‐surface scattering by the parabolic equation method
- Physics
- 1990
The parabolic equation method is an effective approach when the acoustic wave field is incident at low grazing angles onto a rough surface. The method consists of an integral equation and an…
THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES*
- Mathematics
- 1984
The inverse scattering problem we are considering in this paper is to determine the shape of a sound-soft, bounded, connected obstacle from a knowledge of the time-harmonic incident wave with…
An efficient numerical method for exterior and interior inverse problems of Helmholtz equation
- Mathematics
- 1991
rtincipb of Optics (Oxford: Pergamon
- 1970
T?te %ory of Elecnomopctinn (Oxford: Pergamon
- 1964