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Diffraction of a plane wave of a finite radius on a spiral axicon and a spiral phase plate: comparison
V.V. Kotlyar1,2, A.A. Kovalev1,2, V.A. Soifer1,2, J.A. Davis3, C. Tuvey3, D. Cottrell3

1Image Processing Systems Institute оf the RAS,
2Samara State Aerospace University (SSAU)
3San Diego State University, California

 PDF, 183 kB

Pages: 36-43.

Full text of article: Russian language.

Abstract:
Analytical expressions were obtained that describe the Fraunhofer diffraction of a plane wave of a finite radius on a spiral axicon (SA) and a spiral phase plate (SPP). The solutions are obtained in the form of a series of Bessel functions for SA and as a finite sum of the Bessel functions for SPT. Moreover, the solution for SA turns into the solution for SPP if the axicon parameter is set to zero. Numerical examples show that the addition of a “weak” axicon to a SPP leads to a decrease in the contrast of concentric rings in the diffraction pattern.

Keywords:
Spiral Axicon, Spiral Phase Plate, Fraunhofer diffraction, Bessel functions.

Citation:
Kotlyar VV, Kovalev AA, Soifer VA, Davis JA, Tuvey C, Cottrell D. Diffraction of a Plane Wave of a Finite Radius on a Spiral Axicon and a Spiral Phase Plate: Comparison. Computer Optics 2006; 30: 36-43.

Acknowledgements:
This work was supported by the Russian-American program “Basic Research and Higher Education” (grant CRDF REC SA-014-02), as well as a grant from the RFBR 05-08-50298.

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