Abstract
<abstract><p>We consider the reconstruction of the compact support of an acoustic source given multiple frequency far field data. We propose a multi-frequency extended sampling method (MESM). The MESM computes the solutions of some ill-posed integral equations and constructs an indicator function to image the source. The behavior of the indicator function is justified. The method is fast and easy to implement. Various numerical examples are presented to show the effectiveness of the MESM for both frequency-independent and frequency-dependent sources.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference24 articles.
1. R. Porter, A. Devaney, Generalized holography and computational solutions to inverse source problems, JOSA, 72 (1982), 1707–1713. https://doi.org/10.1364/JOSA.72.001707
2. V. Isakov, Inverse Source Problems, American Mathematical Soc., 1990.
3. G. Dassios, Electric and magnetic activity of the brain in spherical and ellipsoidal geometry, in Mathematical Modeling in Biomedical Imaging I: Electrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging, Springer, (2009), 133–202. https://doi.org/10.1007/978-3-642-03444-2_4
4. A. J. Devaney, E. A. Marengo, M. Li, Inverse source problem in nonhomogeneous background media, SIAM J. Appl. Math., 67 (2007), 1353–1378. https://doi.org/10.1137/060658618
5. A. El Badia, T. Ha-Duong, An inverse source problem in potential analysis, Inverse Probl., 16 (2000), 651. https://doi.org/10.1088/0266-5611/16/3/308
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献