Date of Award
2014
Document Type
Master's report
Degree Name
Master of Science in Mathematical Sciences (MS)
College, School or Department Name
Department of Mathematical Sciences
Advisor
Jiguang Sun
Abstract
Direct sampling methods are increasingly being used to solve the inverse medium scattering problem to estimate the shape of the scattering object. A simple direct method using one incident wave and multiple measurements was proposed by Ito, Jin and Zou. In this report, we performed some analytic and numerical studies of the direct sampling method. The method was found to be effective in general. However, there are a few exceptions exposed in the investigation. Analytic solutions in different situations were studied to verify the viability of the method while numerical tests were used to validate the effectiveness of the method.
Recommended Citation
Weerasinghe, Natasha, "STUDY OF A DIRECT SAMPLING METHOD FOR THE INVERSE MEDIUM SCATTERING PROBLEM", Master's report, Michigan Technological University, 2014.