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Published February 4, 2020 | Published + Submitted
Journal Article Open

Wave Enhancement Through Optimization of Boundary Conditions


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.

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.

Attached Files

Submitted - 1907.11170.pdf

Published - 19m1274651.pdf


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August 19, 2023
August 19, 2023