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

Abstract

In this article, we analyze the microlocal properties of the linearized forward scattering operator $F$ and the normal operator $F^{\ast }F$ (where $F^{\ast }$ is the $L^2$ adjoint of $F$) which arises in Synthetic Aperture Radar imaging for the common midpoint acquisition geometry. When $F^{\ast }$ is applied to the scattered data, artifacts appear. We show that $F^{\ast }F$ 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.

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