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  • XVIII International Quantum Electronics Conference
  • Technical Digest Series (Optica Publishing Group, 1992),
  • paper PTu119

Highly Efficient Fast Hankel Transform for Diffraction Problems

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Abstract

The calculation of optical beam propagation in a cylindrical geometry can be reduced to the evaluation of a Hankel transform. Since the Hankel transformation must often be applied repeatedly, as for example in resonator mode calculation, computational efficiency and accuracy are main issues. An efficient algorithm, called fast Hankel transform (FHT), was described by Siegman[1] and improved by Agrawal and Lax[2] through the addition of end correction terms. Other procedures, based on different methods have been published afterwards.[3-5]

© 1992 IQEC

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