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

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

2011-10-06

arxiv.org/abs/1110.1149v2

Mathematics

Analysis of PDEs

Fixed the typos due to a LaTeX shortcut command

Scientific paper

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.

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