607 citations · 817 across the 43 of their papers we have counts for
5 papers · 1 filter
FMM-accelerated solvers for the Laplace-Beltrami problem on complex surfaces in three dimensions
Dhwanit Agarwal, Michael O'Neil, Manas Rachh
The Laplace-Beltrami problem on closed surfaces embedded in three dimensions arises in many areas of physics, including molecular dynamics (surface diffusion), electromagnetics (ha…
Analysis of single-excitation states in quantum optics
Jeremy Hoskins, Jason Kaye, Manas Rachh +1
In this paper we analyze the dynamics of single-excitation states, which model the scattering of a single photon from multiple two level atoms. For short times and weak atom-field…
A fast, high-order numerical method for the simulation of single-excitation states in quantum optics
Jeremy Hoskins, Jason Kaye, Manas Rachh +1
We consider the numerical solution of a nonlocal partial differential equation which models the process of collective spontaneous emission in a two-level atomic system containing a…
Debye source representation for type-I superconductors, I
Charles L. Epstein, Manas Rachh
In this note, we analyze the classical magneto-static approach to the theory of type I superconductors, and a Debye source representation that can be used numerically to solve the…
Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization
Carlos Borges, Manas Rachh
We consider the reconstruction of the shape and the impedance function of an obstacle from measurements of the scattered field at receivers outside the object. The data is assumed…