A Wavelet Algorithm for Fourier-Bessel Transform Arising in Optics. (31st August 2015)

• Record Type: Journal Article
• Authors: Irfan, Nagma; Siddiqi, A. H.
• Other Names: Cen Song Academic Editor.
• Is Part Of: International journal of engineering mathematics. Volume 2015(2015)
• Publication Date: 2015-08-31
• Subjects: Engineering mathematics -- Periodicals; Engineering mathematics; Electronic journals; Periodicals; 620.00151
• DOI: 10.1155/2015/789675
• Languages: English
• ISSNs: 2356-7007

Abstract

Abstract : The aim of the paper is to propose an efficient and stable algorithm that is quite accurate and fast for numerical evaluation of the Fourier-Bessel transform of orderν, ν > - 1, using wavelets. The philosophy behind the proposed algorithm is to replace the partt f ( t ) of the integral by its wavelet decomposition obtained by using CAS wavelets thus representingF ν ( p ) as a Fourier-Bessel series with coefficients depending strongly on the input functiont f ( t ) . The wavelet method indicates that the approach is easy to implement and thus computationally very attractive.