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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 22, Iss. 5 — May. 1, 2005
  • pp: 849–861

Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate

Victor V. Kotlyar, Anton A. Almazov, Svetlana N. Khonina, Victor A. Soifer, Henna Elfstrom, and Jari Turunen  »View Author Affiliations

JOSA A, Vol. 22, Issue 5, pp. 849-861 (2005)

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We deduce and study an analytical expression for Fresnel diffraction of a plane wave by a spiral phase plate (SPP) that imparts an arbitrary-order phase singularity on the light field. Estimates for the optical vortex radius that depends on the singularity’s integer order n (also termed topological charge, or order of the dislocation) have been derived. The near-zero vortex intensity is shown to be proportional to ρ 2 n , where ρ is the radial coordinate. Also, an analytical expression for Fresnel diffraction of the Gaussian beam by a SPP with n th -order singularity is analyzed. The far-field intensity distribution is derived. The radius of maximal intensity is shown to depend on the singularity number. The behavior of the Gaussian beam intensity after a SPP with second-order singularity ( n = 2 ) is studied in more detail. The parameters of the light beams generated numerically with the Fresnel transform and via analytical formulas are in good agreement. In addition, the light fields with first- and second-order singularities were generated by a 32-level SPP fabricated on the resist by use of the electron-beam lithography technique.

© 2005 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics

Original Manuscript: July 29, 2004
Revised Manuscript: October 4, 2004
Manuscript Accepted: November 8, 2004
Published: May 1, 2005

Victor V. Kotlyar, Henna Elfstrom, Jari Turunen, Anton A. Almazov, Svetlana N. Khonina, and Victor A. Soifer, "Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate," J. Opt. Soc. Am. A 22, 849-861 (2005)

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