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arXiv · 1110.1149

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

G. Ambartsoumian·R. Felea·V. P. Krishnan·C. Nolan·E. T. Quinto
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Abstract

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.

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G. Ambartsoumian, R. Felea, V. P. Krishnan, C. Nolan, E. T. Quinto. 2011-10-07. A class of singular Fourier integral operators in synthetic aperture radar imaging. https://arxiv.org/abs/1110.1149

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