论文标题
从多频率无段远场数据中重建声源
Reconstruction of acoustic sources from multi-frequency phaseless far-field data
论文作者
论文摘要
我们考虑了从多频率无段远场数据确定声源的逆源问题。通过将一些参考点源补充到逆源模型中，我们制定了一种新的策略来恢复远场数据的相位信息。此参考源技术导致易于实现的相位检索公式。从数学上讲，相位检索方法的稳定性是严格的合理性的。然后，我们使用傅立叶方法来处理恢复的阶段信息的多频倒源问题。最后，提出了大约两维数值结果，以证明所提出的方法的生存力和有效性。
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.
