End correction in the quasi-fast Hankel transform for optical-propagation problems
- 1 April 1981
- journal article
- Published by Optica Publishing Group in Optics Letters
- Vol. 6 (4) , 171-173
- https://doi.org/10.1364/ol.6.000171
Abstract
An explicit evaluation is made of a simple end correction to the quasi-fast Hankel-transform algorithm. Application to a Gaussian beam shows that for a given accuracy, the use of this end correction permits a reduction of a factor of 8 in storage as well as a factor of 8 in running time.Keywords
This publication has 10 references indexed in Scilit:
- Resonator studies with the Gardner–Fresnel–Kirchhoff propagatorOptics Letters, 1980
- Continuous Fourier-transform spline solution of unstable resonator-field distributionOptics Letters, 1979
- Numerical procedures for solving nonsymmetric eigenvalue problems associated with optical resonatorsApplied Optics, 1978
- Quasi fast Hankel transformOptics Letters, 1977
- Time-dependent propagation of high energy laser beams through the atmosphereApplied Physics A, 1976
- Mode calculations in unstable resonators with flowing saturable gain 2: Fast Fourier transform methodApplied Optics, 1975
- Use of fast fourier transforms for solving partial differential equations in physicsJournal of Computational Physics, 1972
- An algorithm for computing the mixed radix fast Fourier transformIEEE Transactions on Audio and Electroacoustics, 1969
- A Fast Direct Solution of Poisson's Equation Using Fourier AnalysisJournal of the ACM, 1965
- An algorithm for the machine calculation of complex Fourier seriesMathematics of Computation, 1965