Topic
Bessel filter
About: Bessel filter is a research topic. Over the lifetime, 656 publications have been published within this topic receiving 16808 citations.
Papers published on a yearly basis
Papers
More filters
Journal Article•
8 citations
TL;DR: In this paper, a method useful in the numerical computation of integrals involving Bessel functions is extended to the case where the integrand contains products of trigonometric and Bessel function.
Abstract: A method useful in the numerical computation of integrals involving Bessel functions is extended to the case where the integrand contains products of trigonometric and Bessel functions.
8 citations
TL;DR: An optical setup is presented that converts planar binary curves into two-dimensional amplitude distributions, which are proportional, along one axis, to the Bessel function of order n, whereas along the other axis the order n increases.
Abstract: We present an optical setup that converts planar binary curves into two-dimensional amplitude distributions, which are proportional, along one axis, to the Bessel function of order n, whereas along the other axis the order n increases. This Bessel displayer can be used for parallel Bessel transformation of a signal. Experimental verifications are included.
8 citations
01 Jan 1994
TL;DR: In this paper, the authors compare various extrapolation techniques as well as choices of endpoints in dividing the integral, and establish the most efficient method for evaluating integrals involving Bessel functions of any order n, not just zero or one.
Abstract: The evaluation of integrals of the formIn = R 1 0 f(x)Jn(x)dx is considered. In the past, the method of dividing an oscillatory integral at its zeros, forming a sequence of partial sums, and using extrapolation to accelerate convergence has been found to be the most ecien t technique available where the oscillation is due to a trigonometric function or a Bessel function of order n = 0; 1. Here, we compare various extrapolation techniques as well as choices of endpoints in dividing the integral, and establish the most ecien t method for evaluating innite integrals involving Bessel functions of any order n, not just zero or one. We also outline a simple but very eectiv e technique for calculating Bessel function zeros.
8 citations
TL;DR: In this article, the authors extended the analytic treatment of Bessel functions of large order and/or argument and examined uniform asymptotic Bessel function expansions and showed their accuracy and range of validity.
Abstract: In this work, we extend the analytic treatment of Bessel functions of large order and/or argument. We examine uniform asymptotic Bessel function expansions and show their accuracy and range of validity. Such situations arise in a variety of applications, particularly the Fourier transform (FT) of the gravitational wave (GW) signal from a pulsar, global parameter space correlations of a coherent matched filtering search for continuous GWs from isolated neutron stars and tomographic reconstruction of GW LISA sources. The uniform expansion we consider here is found to be valid in the entire range of the argument.
8 citations