Finding a source inside a sphere

Research areas:
Year:
2012
Type of Publication:
Article
Authors:
Journal:
Inverse Problems
Volume:
28
Number:
015003
Abstract:
A sphere excited by an interior point source or a point dipole gives a simplified yet realistic model for studying a variety of applications in medical imaging. We suppose that there is an exterior field (transmission problem) and that the total field on the sphere is known. We give analytical inversion algorithms for determining the interior physical characteristics of the sphere as well as the location, strength and orientation of the source/dipole. We start with static problems (Laplace's equation) and then proceed to acoustic problems (Helmholtz equation).


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