Fast Localization of Small Inhomogeneities from Far-Field Pattern Data in the Limited-Aperture Inverse Scattering Problem
Uloženo v:
| Název: | Fast Localization of Small Inhomogeneities from Far-Field Pattern Data in the Limited-Aperture Inverse Scattering Problem |
|---|---|
| Autoři: | Won-Kwang Park |
| Zdroj: | Mathematics, Vol 9, Iss 2087, p 2087 (2021) |
| Informace o vydavateli: | MDPI AG |
| Rok vydání: | 2021 |
| Sbírka: | Directory of Open Access Journals: DOAJ Articles |
| Témata: | fast localization, sampling-type algorithm, small electromagnetic inhomogeneities, multistatic response matrix, simulation results, Mathematics, QA1-939 |
| Popis: | In this study, we consider a sampling-type algorithm for the fast localization of small electromagnetic inhomogeneities from measured far-field pattern data in the limited-aperture inverse scattering problem. For this purpose, we designed an indicator function based on the structure of left- and right-singular vectors of a multistatic response matrix, the elements of which were measured far-field pattern data. We then rigorously investigated the mathematical structure of the indicator function in terms of purely dielectric permittivity and magnetic permeability contrast cases by establishing a relationship with an infinite series of Bessel functions of an integer order of the first kind and a range of incident and observation directions before exploring various intrinsic properties of the algorithm, including its feasibility and limitations. Simulation results with synthetic data corrupted by random noise are presented to support the theoretical results. |
| Druh dokumentu: | article in journal/newspaper |
| Jazyk: | English |
| Relation: | https://www.mdpi.com/2227-7390/9/17/2087; https://doaj.org/toc/2227-7390; https://doaj.org/article/c14d02bac1a4469fbc6eb0683a8bb31b |
| DOI: | 10.3390/math9172087 |
| Dostupnost: | https://doi.org/10.3390/math9172087 https://doaj.org/article/c14d02bac1a4469fbc6eb0683a8bb31b |
| Přístupové číslo: | edsbas.5C4F265 |
| Databáze: | BASE |
Nájsť tento článok vo Web of Science | Abstrakt: | In this study, we consider a sampling-type algorithm for the fast localization of small electromagnetic inhomogeneities from measured far-field pattern data in the limited-aperture inverse scattering problem. For this purpose, we designed an indicator function based on the structure of left- and right-singular vectors of a multistatic response matrix, the elements of which were measured far-field pattern data. We then rigorously investigated the mathematical structure of the indicator function in terms of purely dielectric permittivity and magnetic permeability contrast cases by establishing a relationship with an infinite series of Bessel functions of an integer order of the first kind and a range of incident and observation directions before exploring various intrinsic properties of the algorithm, including its feasibility and limitations. Simulation results with synthetic data corrupted by random noise are presented to support the theoretical results. |
|---|---|
| DOI: | 10.3390/math9172087 |