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Generation of an elliptic hollow beam using Mathieu and Bessel functions
Published in OSA - The Optical Society
2006
Volume: 23
   
Issue: 9
Pages: 2278 - 2282
Abstract
A new (to our knowledge) technique for the generation of a propagation-invariant elliptic hollow beam is reported. It avoids the use of the radial Mathieu function and hence is mathematically simpler. Bessel functions with their arguments having elliptic locus are used to generate the mask, which is then recorded using holographic technique. To generate such an elliptic beam, both the angular Mathieu function, i.e., elliptic vortex term, and the expression for the circular vortex are used separately. The resultant mask is illuminated with a plane beam, and the proper filtering of its Fourier transform generates the expected elliptic beam. Results with both vortex terms are satisfactory. It has been observed that even for higher ellipticity the vortices do not separate. © 2006 Optical Society of America.
About the journal
JournalData powered by TypesetJournal of the Optical Society of America A: Optics and Image Science, and Vision
PublisherData powered by TypesetOSA - The Optical Society
ISSN1084-7529
Impact Factor1.230
Citation Styleunsrt
Sherpa RoMEO Archiving PolicyGreen