A class of singular Fourier integral operators in synthetic aperture radar imaging

In this article, we analyze the microlocal properties of the linearized forward scattering operator \(F\) and the normal operator \(F^{*}F\) (where \(F^{*}\) is the \(L^{2}\) adjoint of \(F\)) which arises in Synthetic Aperture Radar imaging for the common midpoint acquisition geometry. When \(F^{*}...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2011-10
Main Authors: Ambartsoumian, G, Felea, R, Krishnan, V P, Nolan, C, Quinto, E T
Format: Article
Language:English
Subjects:
Forward scattering
Operators (mathematics)
Radar imaging
Synthetic aperture radar
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, we analyze the microlocal properties of the linearized forward scattering operator \(F\) and the normal operator \(F^{*}F\) (where \(F^{*}\) is the \(L^{2}\) adjoint of \(F\)) which arises in Synthetic Aperture Radar imaging for the common midpoint acquisition geometry. When \(F^{*}\) is applied to the scattered data, artifacts appear. We show that \(F^{*}F\) can be decomposed as a sum of four operators, each belonging to a class of distributions associated to two cleanly intersecting Lagrangians, \(I^{p,l} (\Lambda_0, \Lambda_1)\), thereby explaining the latter artifacts.
ISSN:2331-8422