Rapid calculation of paraxial wave propagation for cylindrically symmetric optics

Kenan Li, Chris Jacobsen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


When calculating the focusing properties of cylindrically symmetric focusing optics, numerical wave propagation calculations can be carried out using the quasi-discrete Hankel transform (QDHT). We describe here an implementation of the QDHT where a partial transform matrix can be stored to speed up repeated wave propagations over specified distances, with reduced computational memory requirements. The accuracy of the approach is then verified by comparison with analytical results, over propagation distances with both small and large Fresnel numbers. We then demonstrate the utility of this approach for calculating the focusing properties of Fresnel zone plate optics that are commonly used for x-ray imaging applications and point to future applications of this approach.

Original languageEnglish (US)
Pages (from-to)2074-2081
Number of pages8
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number11
StatePublished - Nov 1 2015

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition


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