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
Li, Jingzhi, Hongyu Liu, and Qi Wang. "Fast imaging of electromagnetic scatterers by a two-stage multilevel sampling method." Discrete and Continuous Dynamical Systems - Series S 8.3 (2015): 547-561.