The Born approximation, multiple scattering, and the butterfly algorithm

Authors

Alejandro F. Martinez, University of Texas-Pan American

Date of Award

7-2014

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Zhijun Qiao

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Tim Huber

Abstract

Radar works by focusing a beam of light and seeing how long it takes to reflect. To see a large region the beam is pointed in different directions. The focus of the beam depends on the size of the antenna (called an aperture). Synthetic aperture radar (SAR) works by moving the antenna through some region of space. A fundamental assumption in SAR is that waves only bounce once. Several imaging algorithms have been designed using that assumption. The scattering process can be described by iterations of a badly behaving integral. Recently a method for efficiently evaluating these types of integrals has been developed. We will give a detailed implementation of this algorithm and apply it to study the multiple scattering effects in SAR using target estimates from single scattering algorithms.

Comments

Copyright 2014 Alejandro F. Martinez. All Rights Reserved.

https://www.proquest.com/dissertations-theses/born-approximation-multiple-scattering-butterfly/docview/1572076461/se-2

Granting Institution

University of Texas-Pan American