Reconstruction of acoustic sources from multi-frequency phaseless far-field data
Numerical Analysis
2020-02-11 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2002.03279,
title = {Reconstruction of acoustic sources from multi-frequency phaseless far-field data},
author = {Deyue Zhang and Yukun Guo and Fenglin Sun and Xianchao Wang},
journal= {arXiv preprint arXiv:2002.03279},
year = {2020}
}