Rough surface reconstruction from phaseless single frequency data at grazing angles

Authors
Chen, Yuxuan 
Rath-Spivack, Orsola  ORCID logo  https://orcid.org/0000-0003-1457-151X

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Type
Article
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Abstract

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 given for both Dirichlet and Neumann boundary conditions, and numerical experiments are presented in which close agreement is found with the exact solution. The approach is a marching method based on the parabolic integral equation, which recovers the surface progressively in range, and is iterated a small number of times to produce the final result. It is found that the approach is robust with respect to spatially localized perturbations and to measurement noise.

Publication Date
2018-10-04
Online Publication Date
2018-10-18
Acceptance Date
2018-09-17
Keywords
inverse scattering, iterated marching method, rough surface reconstruction, grazing incidence
Journal Title
Inverse Problems
Journal ISSN
0266-5611
1361-6420
Volume Title
Publisher
IoP