Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 547-561 |
| Number of pages | 15 |
| Journal | Discrete and Continuous Dynamical Systems - Series S |
| Volume | 8 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jun 2015 |
Scopus Subject Areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
User-Defined Keywords
- Inverse scattering
- Multilevel
- Sampling method
- Single-shot
- Two-stage