Hankel Transform

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

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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.

Cite As

Adam Wyatt (2026). Hankel Transform (https://in.mathworks.com/matlabcentral/fileexchange/15623-hankel-transform), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired by: Integer order Hankel transform

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.1.0.0

Slight changes to the hankel structure to simplify usage.

1.0.0.0

Minor modifications.