| Autor: |
Yanli Cui, Xiliang Li, Fenglong Qu |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-12 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1687-2770 |
| DOI: |
10.1186/s13661-020-01474-6 |
| Popis: |
Abstract This paper is concerned with the inverse scattering of time-harmonic waves by a penetrable structure. By applying the integral equation method, we establish the uniform L α p ( 1 < p ≤ 2 ) $L^{p}_{\alpha }\ (1< p\leq 2)$ estimates for the scattered and transmitted wave fields corresponding to a series of incident point sources. Based on these a priori estimates and a mixed reciprocity relation, we prove that the penetrable structure can be uniquely identified by means of the scattered field measured only above the structure induced by a countably infinite number of quasi-periodic incident plane waves. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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