Tutorial on Fourier space coverage for scattering experiments, with application to SAR

Ross W. Deming

doi:10.1117/12.849541

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18 April 2010 Tutorial on Fourier space coverage for scattering experiments, with application to SAR

Ross W. Deming

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Proceedings Volume 7699, Algorithms for Synthetic Aperture Radar Imagery XVII; 769904 (2010) https://doi.org/10.1117/12.849541
Event: SPIE Defense, Security, and Sensing, 2010, Orlando, Florida, United States

Abstract

The Fourier Diffraction Theorem relates the data measured during electromagnetic, optical, or acoustic scattering experiments to the spatial Fourier transform of the object under test. The theorem is well-known, but since it is based on integral equations and complicated mathematical expansions, the typical derivation may be difficult for the non-specialist. In this paper, the theorem is derived and presented using simple geometry, plus undergraduatelevel physics and mathematics. For practitioners of synthetic aperture radar (SAR) imaging, the theorem is important to understand because it leads to a simple geometric and graphical understanding of image resolution and sampling requirements, and how they are affected by radar system parameters and experimental geometry. Also, the theorem can be used as a starting point for imaging algorithms and motion compensation methods. Several examples are given in this paper for realistic scenarios.

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Ross W. Deming "Tutorial on Fourier space coverage for scattering experiments, with application to SAR", Proc. SPIE 7699, Algorithms for Synthetic Aperture Radar Imagery XVII, 769904 (18 April 2010); https://doi.org/10.1117/12.849541

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