Retrieval of acoustic sources from multi-frequency phaseless data
Retrieval of acoustic sources from multi-frequency phaseless data
复制标题
从多频无相数据中检索声源
DOI：
10.1088/1361-6420/aaccda
复制
发表时间：
2018-03
期刊：
影响因子：
2.1
通讯作者：
Deyue Zhang;Yukun Guo;Jingzhi Li;Hongyu Liu
中科院分区：
文献类型：
--
作者：
Deyue Zhang;Yukun Guo;Jingzhi Li;Hongyu Liu
本文研究了从多频率辐射场的无相测量中重建未知声激励的逆源问题。众所周知，非唯一性问题是与此类逆问题相关的主要挑战。我们开发了一种新的策略，通过在逆源系统中添加一些参考点源作为额外的人工源来恢复辐射场，从而克服了这一具有挑战性的问题。这种新的参考源技术只需要少量的额外数据，并带来了一个简单的相位检索公式。对该相位恢复方法的稳定性进行了严格的分析。在相位信息重新采集后，采用傅里叶方法求解具有恢复相位信息的多频反源问题，该方法具有非迭代、快速和易于实现的特点。算例验证了该方法的可行性和有效性。
This paper is concerned with the inverse source problem of reconstructing an unknown acoustic excitation from phaseless measurements of the radiated fields away at multiple frequencies. It is well known that the non-uniqueness issue is a major challenge associated with such an inverse problem. We develop a novel strategy to overcome this challenging problem by recovering the radiated fields via adding some reference point sources as extra artificial sources to the inverse source system. This novel reference source technique requires only a few extra data, and brings in a simple phase retrieval formula. The stability of this phase retrieval approach is rigorously analyzed. After the reacquisition of the phase information, the multi-frequency inverse source problem with recovered phase information is solved by the Fourier method, which is non-iterative, fast and easy to implement. Several numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed method.