Imaging point sources in heterogeneous environments


Journal Article

© 2019 IOP Publishing Ltd. Imaging point sources in heterogeneous environments from boundary or far-field measurements has been extensively studied in the past. In most existing results, the environment, represented by the refractive index function in the model equation, is assumed known in the imaging process. In this work, we investigate the impact of environment uncertainty on the reconstruction of point sources inside it. Following the techniques developed by El Badia and El Hajj (2012 C. R. Acad. Sci. Paris I 350 1031-5), we derive stability of reconstructing point sources in heterogeneous media with respect to measurement error as well as smooth changes in the environment, that is, the refractive index. Numerical simulations with synthetic data are presented to further explore the derived stability properties.

Full Text

Duke Authors

Cited Authors

  • Ren, K; Zhong, Y

Published Date

  • October 24, 2019

Published In

Volume / Issue

  • 35 / 12

Electronic International Standard Serial Number (EISSN)

  • 1361-6420

International Standard Serial Number (ISSN)

  • 0266-5611

Digital Object Identifier (DOI)

  • 10.1088/1361-6420/ab3497

Citation Source

  • Scopus