11 citations · 12 across the 4 of their papers we have counts for
6 papers
A Steklov-spectral approach for solutions of Dirichlet and Robin boundary value problems
Kthim Imeri, Nilima Nigam
In this paper we revisit an approach pioneered by Auchmuty to approximate solutions of the Laplace- Robin boundary value problem. We demonstrate the efficacy of this approach on a…
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…