Fast acoustic source imaging using multi-frequency sparse data

Document Type

Article

Publication Date

1-23-2020

Department

Department of Mathematical Sciences

Abstract

We consider the acoustic source imaging problems in using multiple frequency data at sparse directions/points. Using at most n observation directions/points, we show that the size and location of the source can be recovered. A non-iterative method is then proposed to image the source. The method is simple to implement and extremely fast since it only computes an indicator function on the domain of interest using matrix vector multiplications. Numerical examples are presented to validate the effectiveness of the method.

Publication Title

Inverse Problems

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