Department of Mathematics
Fast imaging of electromagnetic scatterers by a two-stage multilevel sampling method
Some effective imaging schemes for inverse scattering problems were recently proposed in [13, 14] for locating multiple multiscale electromagnetic (EM) scatterers, namely a combination of components of possible small size and regular size compared to the detecting EM wavelength. In this paper, instead of using a single far-field measurement, we relax the assumption of one fixed frequency to multiple ones, and develop efficient numerical techniques to speed up those imaging schemes by adopting multi-frequency and Multilevel ideas in a two-stage manner. Numerical tests are presented to demonstrate the efficiency and the salient features of the proposed fast imaging scheme.
Inverse scattering, Multilevel, Sampling method, Single-shot, Two-stage
Source Publication Title
Discrete and Continuous Dynamical Systems - Series S
American Institute of Mathematical Sciences
The work was supported by the NSF of China (No.11201453, 11371115) and the NSF grant, DMS 1207784.
Link to Publisher's Edition
Li, J., Liu, H., & Wang, Q. (2015). Fast imaging of electromagnetic scatterers by a two-stage multilevel sampling method. Discrete and Continuous Dynamical Systems - Series S, 8 (3), 547-561. https://doi.org/10.3934/dcdss.2015.8.547