Publication Cover
Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 9
90
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium

&
Pages 1339-1355 | Received 15 Jun 2009, Accepted 28 Jul 2009, Published online: 03 Nov 2009
 

Abstract

The scattering of time-harmonic electromagnetic plane waves by an impenetrable obstacle in a piecewise homogeneous medium is considered. The well-posedness of the direct problem is proved by the variational method. Under the condition that the wave numbers in the innermost and outermost homogeneous layers coincide, we then establish a uniqueness result for the inverse problem, that is, the unique determination of the obstacle and its boundary condition from a knowledge of the electric far field pattern for incident plane waves. The proof is based on a generalization of the mixed reciprocity relation.

Acknowledgement

This work was partly supported by the Chinese Academy of Sciences through the Hundred Talents Program and by the NNSF of China under grant No. 10671201.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,361.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.