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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 12 — Apr. 20, 2006
  • pp: 2656–2665

Diffraction of conic and Gaussian beams by a spiral phase plate

Victor V. Kotlyar, Alexey A. Kovalev, Svetlana N. Khonina, Roman V. Skidanov, Victor A. Soifer, Henna Elfstrom, Noora Tossavainen, and Jari Turunen  »View Author Affiliations

Applied Optics, Vol. 45, Issue 12, pp. 2656-2665 (2006)

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An analytical expression for the spatial spectrum of the conic wave diffracted by a spiral phase plate (SPP) with arbitrary integer singularity of order n is obtained. Conic wave diffraction by the SPP is equivalent to plane-wave diffraction by a helical axicon. A comparison of the conic wave and Gaussian beam diffraction on a SPP is made. It is shown that in both cases a light ring is formed, with the intensity function growing in proportion to ρ 2 n at small values of radial variable ρ and decreasing as n 2 ρ 4 at large ρ. By use of direct e-beam writing on the resist, a 32 level SPP of the 2nd order and diameter 5   mm is manufactured. By use of this SPP, a He–Ne laser beam is transformed into a beam with phase singularity and ringlike intensity distribution. A four-order binary diffractive optical element (DOE) with its transmittance proportional to a linear superposition of four angular harmonics is also manufactured. With this DOE, simultaneous optical trapping of several polystyrene beads of diameter 5   μm is performed.

© 2006 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1970) Diffraction and gratings : Diffractive optics

Original Manuscript: September 6, 2005
Revised Manuscript: November 16, 2005
Manuscript Accepted: November 18, 2005

Virtual Issues
Vol. 1, Iss. 5 Virtual Journal for Biomedical Optics

Victor V. Kotlyar, Alexey A. Kovalev, Svetlana N. Khonina, Roman V. Skidanov, Victor A. Soifer, Henna Elfstrom, Noora Tossavainen, and Jari Turunen, "Diffraction of conic and Gaussian beams by a spiral phase plate," Appl. Opt. 45, 2656-2665 (2006)

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