Lionheart, William R.B. and Graham, Oliver Bistatic two dimensional synthetic aperture radar as a tensor tomography problem. In: 3rd IMA Conference on Inverse Problems from Theory to Application, May 3, 2022 - May 5, 2022, International Centre for Mathematical Sciences (ICMS)Edinburgh, , UK. (Unpublished)
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Abstract
Bistatic radar uses a separate location for the transmitter and receiver, for example on two aircraft or UAVs. The transmitter sends out a pulse and the receiver records its magnitude, for each travel time (we consider the incoherent case, most systems in practice record also the phase). For each transmitter and receiver position a measurement at a given travel time is the sum of reflections on a prolate spheroid (ellipse in two dimensional case) with the transmitter and receiver as its foci. If the transmitter and receiver are distant from reflectors supported in a small ball the spheroids can be approximated by planes. Although reflectors are commonly assumed to be isotropic, in practice the relative amplitude of reflection depends on the incoming and outgoing direction, described by the (bistatic) radar scattering cross-section. In this poster we relate this problem to a tensor Radon transform, which in two dimensions has an explicit singular value decomposition.
| Item Type: | Conference or Workshop Item (Poster) |
|---|---|
| Uncontrolled Keywords: | radar, SAR, tomography, radon transform, tensor |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 44 Integral transforms, operational calculus MSC 2010, the AMS's Mathematics Subject Classification > 78 Optics, electromagnetic theory PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 41 Electromagnetism; electron and ion optics |
| Depositing User: | Prof WRB Lionheart |
| Date Deposited: | 28 Aug 2022 10:20 |
| Last Modified: | 28 Aug 2022 10:20 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2866 |
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