Microlocal aspects of common offset synthetic aperture radar imaging

Venkateswaran P. Krishnan; Eric Todd Quinto

doi:10.3934/ipi.2011.5.659

Article Contents

2011, Volume 5, Issue 3: 659-674. Doi: 10.3934/ipi.2011.5.659

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Microlocal aspects of common offset synthetic aperture radar imaging

Venkateswaran P. Krishnan^1, and
Eric Todd Quinto^1,

1.
Department of Mathematics, Tufts University, 503, Boston Avenue, Medford, MA 02155

Received: July 31, 2010

Revised: January 31, 2011

Published: July 2011

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Abstract

In this article, we analyze the microlocal properties of the linearized forward scattering operator $F$ and the reconstruction operator $F^{*}F$ appearing in bistatic synthetic aperture radar imaging. In our model, the radar source and detector travel along a line a fixed distance apart. We show that $F$ is a Fourier integral operator, and we give the mapping properties of the projections from the canonical relation of $F$, showing that the right projection is a blow-down and the left projection is a fold. We then show that $F^{*}F$ is a singular FIO belonging to the class $I^{3,0}$.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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