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Wave Enhancement Through Optimization of Boundary Conditions

Ammari, Habib and Bruno, Oscar and Imeri, Kthim and Nigam, Nilima (2020) Wave Enhancement Through Optimization of Boundary Conditions. SIAM Journal on Scientific Computing, 42 (1). B207-B224. ISSN 1064-8275. https://resolver.caltech.edu/CaltechAUTHORS:20200806-123557817

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Abstract

In this paper, we present a new and efficient approach for optimizing the transmission signal between two points in a cavity at a given frequency, by changing boundary conditions. The proposed approach makes use of recent results on the monotonicity of the eigenvalues of the mixed boundary value problem and on the sensitivity of Green's function to small changes in the boundary conditions. The switching of the boundary condition from Dirichlet to Neumann can be performed through the use of the recently modeled concept of metasurfaces which are comprised of coupled pairs of Helmholtz resonators. A variety of numerical experiments are presented to show the applicability and the accuracy of the proposed new methodology.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1137/19m1274651DOIArticle
https://arxiv.org/abs/1907.11170arXivDiscussion Paper
ORCID:
AuthorORCID
Bruno, Oscar0000-0001-8369-3014
Nigam, Nilima0000-0002-6739-1179
Additional Information:© 2020 by SIAM. Submitted to the journal's Computational Methods in Science and Engineering section July 15, 2019; accepted for publication (in revised form) December 9, 2019; published electronically February 4, 2020.
Subject Keywords:Zaremba eigenvalue problem, boundary integral operators, mixed boundary conditions, metasurfaces
Issue or Number:1
Classification Code:AMS subject classifications: 35R30, 35C20
Record Number:CaltechAUTHORS:20200806-123557817
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200806-123557817
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104775
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Aug 2020 20:42
Last Modified:06 Aug 2020 20:42

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