Elsevier

Optics & Laser Technology

Volume 23, Issue 5, October 1991, Pages 303-307
Optics & Laser Technology

Method for scaling the output focal curves formed by computer generated zone plates

https://doi.org/10.1016/0030-3992(91)90009-DGet rights and content

Abstract

The paper presents a method of scaling the light intensity distribution in the Fresnel region. This can be useful in the design of computer generated diffractive optical elements. In particular, the method enables a modification of the zone plate transmittance, which leads to a scale transformation of the output focal curve. The approach is useful in those cases where the focal curve to be transformed is localized in the plane parallel to that of the zone plate and the complex amplitude of the focusing element is known in an analytic form. The theoretical description is based on the similarity property of the Fourier transform. The method is demostrated by obtaining computer generated zone plates with elliptic and hyperbolic focal curves.

References (18)

  • Ch. Frere et al.

    Computer-generated holograms: reconstruction of curves in 3-D

    Opt Commun

    (1986)
  • S. Bara et al.

    Computer generated Fourier transform holograms focusing in 2-D curves

    Opt Comm

    (1990)
  • A.V. Goncharskij et al.

    Focuser elements for laser processing of materials

    Sov Tech Phys Lett.

    (1985)
  • S.F. Ageshin et al.

    Use of focusators in laser assisted material processing

  • I.N. Sisakyan et al.

    Technological capabilities of focusators in laser-induced material processing

  • Ch. Frere et al.

    Computer-generated holograms of three-dimensional object composed of line segments

    J Opt Soc Am A

    (1986)
  • D. Leseberg

    Computer generated holograms: cylindrical conical and helical waves

    J Opt Soc Am A

    (1986)
  • D. Leseberg et al.

    Computer-generated holograms of 3-D objects composed of tilted planar segments

    Appl Opt

    (1988)
  • D. Leseberg et al.

    Large objects reconstructed from computer-generated holograms

    Appl Opt

    (1989)
There are more references available in the full text version of this article.
View full text