Bradley K. Alpert

Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation

We present a systematic approach to the computation of exact nonreflecting boundary conditions for the wave equation. In both two and three dimensions, the critical step in our analysis involves convolution with the inverse Laplace transform of the logarithmic derivative of a Hankel function. The main technical result in this paper is that the logarithmic derivative of the Hankel function

Wavelets and other bases for fast numerical linear algebra

H_\nu^{(1)}(z)

Near-field antenna measurements using nonideal measurement locations

of real order

A high resolution gamma-ray spectrometer based on superconducting microcalorimeters

\nu

Near-field, spherical-scanning antenna measurements with nonideal probe locations

can be approximated in the upper half

Causality and waveguide circuit theory

z

High-order quadratures for integral operators with singular kernels

-plane with relative error

Causal characteristic impedance of planar transmission lines

\varepsilon

The Practice of Pulse Processing

by a rational function of degree

Note: Operation of gamma-ray microcalorimeters at elevated count rates using filters with constraints

d \sim O (\log|\nu|\log\frac{1}{\varepsilon}+ \log^2 |\nu| + | \nu |^{-1} \log^2\frac{1}{\varepsilon} )