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Diffraction of a conical wave and a Gaussian beam by a spiral phase plate

V.V. Kotlyar1,2 A.A. Kovalev1,2 S.N. Khonina1,2 R.V. Skidanov1,2 V.A. Soifer1,2 J. Turunen3
1Image Processing Systems Institute of RAS 

2Samara State Aerospace University named after academician S.P. Korolev 

3University of Joensuu, Finland 


 PDF, 125 kB

Pages: 29-36.

Abstract:
An analytical expression is obtained for the diffraction in the far zone of a conical wave on a spiral phase plate (SPP) with an arbitrary integer order of singularity n. Diffraction of a conical wave by an SPP is equivalent to the diffraction of a plane wave on a screw axicon. The diffraction of a conical wave and a Gaussian beam by an SPP is compared analytically. It is shown that in both cases a light ring is formed and the intensity function for small values of the radial variable ρ increases in proportion ρ2n, and for large ρ decreases as n2ρ-4. A 32-level second-order SPP with a diameter of 5 mm was made by way of direct recording with an electron beam on a resist. Using this SPP, a beam of a helium-neon laser was converted into a beam with a phase singularity and an annular intensity distribution.

Keywords:
Gaussian beam, conical wave, spiral phase plate, axicon, diffraction of a conical wave, helium-neon laser

Citation:
Kotlyar VV, Kovalev AA, Khonina SN, Skidanov RV, Soifer VA, Turunen J. Diffraction of a conical wave and a Gaussian beam by a spiral phase plate. Computer Optics 2005; 28: 29-36.

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