Rough surface reconstruction from phaseless single frequency data at grazing angles
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Publication Date
2018-10-04Journal Title
Inverse Problems
ISSN
0266-5611
Publisher
IoP
Type
Article
Metadata
Show full item recordCitation
Chen, Y., Rath-Spivack, O., & Spivack, M. (2018). Rough surface reconstruction from phaseless single frequency data at grazing angles. Inverse Problems https://doi.org/10.1088/1361-6420/aae1e9
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.
Identifiers
External DOI: https://doi.org/10.1088/1361-6420/aae1e9
This record's URL: https://www.repository.cam.ac.uk/handle/1810/285666
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