Diffraction of conic and Gaussian beams by a spiral phase plate

Applied Optics
Victor V KotlyarJ Turunen

Abstract

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 rho(2n) at small values of radial variable rho and decreasing as n(2)rho(-4) at large rho. 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 microm is performed.

References

Feb 10, 2004·Applied Optics·S S R OemrawsinghG W 't Hooft
Mar 26, 2005·Optics Letters·Steven SundbeckDavid G Grier
May 19, 2005·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Victor V KotlyarJari Turunen
Feb 7, 2005·Optics Express·Severin FürhapterMonika Ritsch-Marte
Mar 7, 2005·Optics Express·Carlo AlonzoJesper Glückstad

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Citations

Dec 25, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Victor V Kotlyar, Alexey A Kovalev
Nov 13, 2008·Applied Optics·V V KotlyarJ Turunen
May 14, 2020·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Andrew Longman, Robert Fedosejevs
Mar 9, 2010·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Victor V Kotlyar, Alexey A Kovalev
Mar 22, 2007·Optics Letters·V V KotlyarJeffrey A Davis
Jan 11, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Monika Ritsch-Marte
Sep 30, 2020·Optics Express·Carolina RickenstorffGilberto Silva-Ortigoza
May 14, 2020·Applied Optics·Igor P Lukin
Aug 31, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Victor V KotlyarVictor A Soifer

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