Monostatic sampling methods in limited-aperture configuration

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We present monostatic sampling methods for limited-aperture scattering problems in two dimensions. The direct sampling method (DSM) is well known to provide a robust, stable, and fast numerical scheme for imaging inhomogeneities from multistatic measurements even with only one or two incident fields. However, in practical applications, monostatic measurements in limited-aperture configuration are frequently encountered. A monostatic sampling method (MSM) was studied in full-aperture configuration in recent literature. In this paper, we develop MSM in limited-aperture configuration and derive an asymptotic formula of the corresponding indicator function. Based on the asymptotic formula, we then analyze the imaging performance of the proposed method depending on the range of measurement directions and the geometric, material properties of inhomogeneities. Furthermore, we propose a modified numerical scheme with multi-frequency measurements that improve imaging performance, especially for small anomalies. Numerical simulations are presented to validate the analytical results.
Publisher
ELSEVIER SCIENCE INC
Issue Date
2022-08
Language
English
Article Type
Article
Citation

APPLIED MATHEMATICS AND COMPUTATION, v.427

ISSN
0096-3003
DOI
10.1016/j.amc.2022.127170
URI
http://hdl.handle.net/10203/296855
Appears in Collection
MA-Journal Papers(저널논문)
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