4.0

4.0 | 1 rating Rate this file 113 downloads (last 30 days) File Size: 3.8 KB File ID: #15623

Hankel Transform

by Adam Wyatt

 

18 Jul 2007 (Updated 04 Mar 2009)

Code covered by BSD License  

Routine to perform a QDHT with no limit on data size or transform order (other than memory constrain

Download Now | Watch this File

File Information
Description

This file contains 2 functions:
bessel_zeros - finds zeros of a bessel function
hankel_matrix - generates a structure of data to use for Hankel transforms

The algorithm is taken from:
M. Guizar-Sicairos and J. C. Gutierrez-Vega, Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields,
J. Opt. Soc. Am. A 21, 53-58 (2004)

An example of beam propagation with circular symmetry has been written in the hankel_matrix help:
Type "help hankel_matrix" or "doc hankel_matrix" in Matlab.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Integer order Hankel transform

MATLAB release MATLAB 7.7 (R2008b)
Zip File Content  
Other Files bessel_zeros.m,
hankel_matrix.m
Tags for This File  
Everyone's Tags
Tags I've Applied
Add New Tags Please login to tag files.
Comments and Ratings (1)
11 Mar 2009 Kevin

This is a nice submission.

Please login to add a comment or rating.
Updates
20 Jul 2007

Minor modifications.

04 Mar 2009

Slight changes to the hankel structure to simplify usage.

Tag Activity for this File
Tag Applied By Date/Time
chemistry Adam Wyatt 22 Oct 2008 09:19:41
physics Adam Wyatt 22 Oct 2008 09:19:41
qdht bessel quasi discrete hankel transform Adam Wyatt 22 Oct 2008 09:19:41
 

MATLAB Central Terms of Use

NOTICE: Any content you submit to MATLAB Central, including personal information, is not subject to the protections which may be afforded information collected under other sections of The MathWorks, Inc. Web site. You are entirely responsible for all content that you upload, post, e-mail, transmit or otherwise make available via MATLAB Central. The MathWorks does not control the content posted by visitors to MATLAB Central and, does not guarantee the accuracy, integrity, or quality of such content. Under no circumstances will The MathWorks be liable in any way for any content not authored by The MathWorks, or any loss or damage of any kind incurred as a result of the use of any content posted, e-mailed, transmitted or otherwise made available via MATLAB Central. Read the complete Terms prior to use.

Contact us at files@mathworks.com