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arXiv · 2002.03279

Reconstruction of acoustic sources from multi-frequency phaseless far-field data

Deyue Zhang·Yukun Guo·Fenglin Sun·Xianchao Wang
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Abstract

We consider the inverse source problem of determining an acoustic source from multi-frequency phaseless far-field data. By supplementing some reference point sources to the inverse source model, we develop a novel strategy for recovering the phase information of far-field data. This reference source technique leads to an easy-to-implement phase retrieval formula. Mathematically, the stability of the phase retrieval approach is rigorously justified. Then we employ the Fourier method to deal with the multi-frequency inverse source problem with recovered phase information. Finally, some two and three dimensional numerical results are presented to demonstrate the viability and effectiveness of the proposed method.

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Deyue Zhang, Yukun Guo, Fenglin Sun, Xianchao Wang. 2020-02-09. Reconstruction of acoustic sources from multi-frequency phaseless far-field data. https://arxiv.org/abs/2002.03279

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