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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 10, Iss. 12 — Jun. 17, 2002
  • pp: 521–525

Fast Hankel transform and its application for studying the propagation of cylindrical electromagnetic fields

D. W. Zhang, X.-C. Yuan, N. Q. Ngo, and P. Shum  »View Author Affiliations


Optics Express, Vol. 10, Issue 12, pp. 521-525 (2002)
http://dx.doi.org/10.1364/OE.10.000521


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Abstract

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.

© 2002 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(090.1970) Holography : Diffractive optics

ToC Category:
Research Papers

History
Original Manuscript: May 24, 2002
Revised Manuscript: June 11, 2002
Published: June 17, 2002

Citation
D. Zhang, X. Yuan, N. Ngo, and P. Shum, "Fast Hankel transform and its application for studying the propagation of cylindrical electromagnetic fields," Opt. Express 10, 521-525 (2002)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-10-12-521


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