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Approximation of Dirichlet-to-Neumann operator for problems of diffraction by planar obstacles covered with thin dielectric multilayers
  • Bachir Alliti,
  • Toufik Laadj,
  • Khaled M'hamed-messaoud
Bachir Alliti
USTHB

Corresponding Author:[email protected]

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Toufik Laadj
USTHB
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Khaled M'hamed-messaoud
USTHB
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Abstract

We are interested in problems of diffraction of an acoustic or electromagnetic wave by a perfectly conducting planar obstacle coated with thin multilayers of dielectric materials. The aim is to obtain boundary condition that replaces the effect of dielectric thin layers. This condition is constructed from an approximation of the Dirichlet-to-Neumann operator. In this paper, we analyze the construction and the approximation of this operator.
20 May 2022Submitted to Mathematical Methods in the Applied Sciences
23 May 2022Submission Checks Completed
23 May 2022Assigned to Editor
29 May 2022Review(s) Completed, Editorial Evaluation Pending
29 May 2022Reviewer(s) Assigned
05 Sep 2022Editorial Decision: Revise Major
21 Sep 20221st Revision Received
22 Sep 2022Submission Checks Completed
22 Sep 2022Assigned to Editor
23 Sep 2022Reviewer(s) Assigned
25 Sep 2022Review(s) Completed, Editorial Evaluation Pending
28 Nov 2022Editorial Decision: Accept