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
••
05 Sep 2012TL;DR: A new class of filters with transfer functions using the polynomials introduced by the British physicist Sir G.G. Stokes is considered, which have larger delay than Bessel filters and a small overshoot and the Butterworth filters have largest delay and largest overshoot.
Abstract: The paper considers a new class of filters with transfer functions using the polynomials introduced by the British physicist Sir G.G. Stokes. The filters are transitional between Bessel and Butterworth ones. When one compares the step-responses of Bessel, Stokes, and Butterworth filters of the same order and the same −3dB bandwidth then the result is following. The Bessel filters have a certain delay and (practically) no overshoot in their step-transient response. The Stokes filters have larger delay than Bessel filters and a small overshoot. Finally, the Butterworth filters have largest delay and largest overshoot. The paper illustrates these properties and describes the data required for synthesis of the Stokes filters.
11 citations
••
TL;DR: Two general forms of Jordan's inequalities for the Bessel and modified Bessel functions are established, and proved by using l'Hospital's rule for monotonicity and some properties of the spherical Bessel, and two new infinite series are given.
Abstract: In this work, two general forms of Jordan's inequalities for the Bessel and modified Bessel functions are established, and proved by using l'Hospital's rule for monotonicity and some properties of the spherical Bessel and the modified spherical Bessel functions of the first kind. The applications of the results above give two new infinite series for the Bessel and modified Bessel functions.
11 citations
••
TL;DR: In this article, the authors investigated corresponding expressions for sums of reciprocal powers of zeros of derivatives and other functions related to Bessel functions and obtained results similar to Kishore's expressing in terms of and.
Abstract: N Kishore (1963 Proc. Am. Math. Soc. 14 527) considered the Rayleigh functions , , where the are the (non-zero) zeros of the Bessel function and provided a convolution-type sum formula for finding in terms of . Here we investigate corresponding expressions for sums of reciprocal powers of zeros of derivatives and other functions related to Bessel functions. It turns out that we can get results similar to Kishore's expressing in terms of and .
10 citations
••
TL;DR: In this paper, a phase-only spatial light modulator (SLM) and an iterative Fourier transformation algorithm (IFTA) are used to create an annular light distribution in the back focal plane of a lens.
10 citations
••
TL;DR: In this article, a fast, accurate, and stable method for computing integer-order Bessel functions is presented, which requires little more than a commonly available fast Fourier transform algorithm, and yet, for a given argument, can provide many J/sub n/s in a single pass.
Abstract: A rapid, accurate, and stable method for computing integer-order Bessel functions is presented. In contrast to the iterative procedures normally used in the numerical evaluation of Bessel functions, this approach requires little more than a commonly available fast Fourier transform algorithm, and yet, for a given argument, can provide many J/sub n/s in a single pass. >
10 citations