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 at small values of radial variable ρ and decreasing as at large ρ. By use of direct e-beam writing on the resist, a 32 level SPP of the 2nd order and diameter 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 is performed.
© 2006 Optical Society of America
Full Article | PDF ArticleOSA Recommended Articles
Victor V. Kotlyar, Alexey A. Kovalev, Roman V. Skidanov, Oleg Yu. Moiseev, and Victor A. Soifer
J. Opt. Soc. Am. A 24(7) 1955-1964 (2007)
Victor V. Kotlyar, Anton A. Almazov, Svetlana N. Khonina, Victor A. Soifer, Henna Elfstrom, and Jari Turunen
J. Opt. Soc. Am. A 22(5) 849-861 (2005)
V. V. Kotlyar, S. N. Khonina, A. A. Kovalev, V. A. Soifer, H. Elfstrom, and J. Turunen
Opt. Lett. 31(11) 1597-1599 (2006)