5 papers
Optimal design of optical analog solvers of linear systems
Kthim Imeri
In this paper, given a linear system of equations A x = b, we are finding locations in the plane to place objects such that sending waves from the source points and gathering them…
A mathematical and numerical framework for gradient meta-surfaces built upon periodically repeating arrays of Helmholtz resonators
Habib Ammari, Kthim Imeri
In this paper a mathematical model is given for the scattering of an incident wave from a surface covered with microscopic small Helmholtz resonators, which are cavities with small…
Wave Enhancement through Optimization of Boundary Conditions
Habib Ammari, Oscar Bruno, Kthim Imeri +1
It is well known that changing boundary conditions for the Laplacian from Dirichlet to Neumann can result in significant changes to the associated eigenmodes, while keeping the eig…
Optimization of Steklov-Neumann eigenvalues
Habib Ammari, Kthim Imeri, Nilima Nigam
This paper examines the Laplace equation with mixed boundary conditions, the Neumann and Steklov boundary conditions. This models a container with holes in it, like a pond filled w…
Wave-Field Shaping in Cavities by Tunable Metasurfaces
Habib Ammari, Kthim Imeri, Wei Wu
Cavities, because they trap waves for long times due to their reflecting walls, are used in a vast number of scientific domains. Indeed, in these closed media and due to interferen…