8 papers
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…
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…
Fast multipole methods for evaluation of layer potentials with locally-corrected quadratures
Leslie Greengard, Michael O'Neil, Manas Rachh +1
While fast multipole methods (FMMs) are in widespread use for the rapid evaluation of potential fields governed by the Laplace, Helmholtz, Maxwell or Stokes equations, their coupli…
Recovering missing data in coherent diffraction imaging
David Barmherzig, Alex B. Barnett, Charles L. Epstein +3
In coherent diffraction imaging (CDI) experiments, the intensity of the scattered wave impinging on an object is measured on an array of detectors. This signal can be interpreted a…
On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains
Jeremy Hoskins, Manas Rachh
In the present paper we describe a class of algorithms for the solution of Laplace's equation on polygonal domains with Neumann boundary conditions. It is well known that in such c…
A fast boundary integral method for high-order multiscale mesh generation
Felipe Vico, Leslie Greengard, Michael O'Neil +1
In this work we present an algorithm to construct an infinitely differentiable smooth surface from an input consisting of a (rectilinear) triangulation of a surface of arbitrary sh…