Open AccessFast Hankel transform and its application for studying the propagation of cylindrical electromagnetic fields
Author(s) -
D. W. Zhang,
Xiaocong Yuan,
Nam Quoc Ngo,
Perry Ping Shum
Publication year - 2002
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.10.000521
Subject(s) - hankel transform , cylindrical coordinate system , fourier transform , hankel matrix , optics , transformation (genetics) , angular spectrum method , axial symmetry , physics , fast fourier transform , electromagnetic field , plane wave , field (mathematics) , wave propagation , computer science , mathematical analysis , algorithm , diffraction , mathematics , bessel function , biochemistry , chemistry , pure mathematics , gene , quantum mechanics
We present a fast Hankel transform (FHTn) method for direct numerical evaluation of electromagnetic (EM) field propagation through an axially symmetric system. Comparing with the vector-based plane-wave spectrum (VPWS) method, we present an alternative approach to implement the fast Hankel transform which does not require an additional coordinate transformation for Fourier transform. The proposed FHTn method is an efficient approach for numerical evaluation of an arbitrary integer order of the Hankel transform (HT). As an example to demonstrate the effectiveness of the proposed method, we apply the FHTn technique to the analysis of cylindrical EM field propagation through a diffractive microlens.