25 citations · 75 across the 15 of their papers we have counts for
18 papers
Fullwave design of cm-scale cylindrical metasurfaces via fast direct solvers
Wenjin Xue, Hanwen Zhang, Abinand Gopal +2
Large-scale metasurfaces promise nanophotonic performance improvements to macroscopic optics functionality, for applications from imaging to analog computing. Yet the size scale mi…
A fast procedure for the construction of quadrature formulas for bandlimited functions
Abinand Gopal, Vladimir Rokhlin
We introduce an efficient scheme for the construction of quadrature rules for bandlimited functions. While the scheme is predominantly based on well-known facts about prolate spher…
Finding roots of complex analytic functions via generalized colleague matrices
Hanwen Zhang, Vladimir Rokhlin
We present a scheme for finding all roots of an analytic function in a square domain in the complex plane. The scheme can be viewed as a generalization of the classical approach to…
On the Efficient Evaluation of the Azimuthal Fourier Components of the Green's Function for Helmholtz's Equation in Cylindrical Coordinates
James Garritano, Yuval Kluger, Vladimir Rokhlin +1
In this manuscript, we develop an efficient algorithm to evaluate the azimuthal Fourier components of the Green's function for the Helmholtz equation in cylindrical coordinates. A…
A Provably Componentwise Backward Stable QR Algorithm for the Diagonalization of Colleague Matrices
Kirill Serkh, Vladimir Rokhlin
The roots of a monic polynomial expressed in a Chebyshev basis are known to be the eigenvalues of the so-called colleague matrix, which is a Hessenberg matrix that is the sum of a…
A fast adaptive algorithm for scattering from a two dimensional radially-symmetric potential
Jeremy Hoskins, Vladimir Rokhlin
In the present paper we describe a simple black box algorithm for efficiently and accurately solving scattering problems related to the scattering of time-harmonic waves from radia…