A class of singular Fourier integral operators in Synthetic Aperture Radar imaging

作者：Ambartsoumian Gaik; Felea Raluca; Krishnan Venkateswaran P; Nolan Clifford; Quinto Eric Todd^*

来源：Journal of Functional Analysis, 2013, 264(1): 246-269.

DOI：10.1016/j.jfa.2012.10.008

• Singular Fourier integral operators
• Elliptical Radon transforms
• Synthetic Aperture Radar
• Fold and Blowdown singularities

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, l(p,l) (Lambda(0), Lambda(1)), thereby explaining the latter artifacts.

• 出版日期2013-1-1