TY - JOUR
T1 - A class of singular Fourier integral operators in Synthetic Aperture Radar imaging
AU - Ambartsoumian, Gaik
AU - Felea, Raluca
AU - Krishnan, Venkateswaran P.
AU - Nolan, Clifford
AU - Quinto, Eric Todd
PY - 2013/1/1
Y1 - 2013/1/1
N2 - 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(Λ 0, Λ 1), thereby explaining the latter artifacts.
AB - 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(Λ 0, Λ 1), thereby explaining the latter artifacts.
KW - Elliptical Radon transforms
KW - Fold and Blowdown singularities
KW - Singular Fourier integral operators
KW - Synthetic Aperture Radar
UR - http://www.scopus.com/inward/record.url?scp=84869494313&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2012.10.008
DO - 10.1016/j.jfa.2012.10.008
M3 - Article
AN - SCOPUS:84869494313
SN - 0022-1236
VL - 264
SP - 246
EP - 269
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -