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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 8, Iss. 10 — Oct. 1, 1969
  • pp: 2043–2046

Two-Dimensional Spatial Frequency Analysis of the Fraunhofer Hologram of a Small Opaque Sphere

F. M. Shofner, T. G. Russell, and R. Menzel  »View Author Affiliations


Applied Optics, Vol. 8, Issue 10, pp. 2043-2046 (1969)
http://dx.doi.org/10.1364/AO.8.002043


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Abstract

The fact that a Fourier transform relationship exists between the front and back focal planes of a thin spherical lens can be used to obtain the power spectral distribution of two-dimensional holographic data. In particular, this form of optical data processing is considered for obtaining the spectral variation as a function of the recording distance of the holographic intensity distribution caused by illuminating an opaque sphere with plane waves. An approximate, closed form solution for the two-dimensional Fourier transform of this problem is derived.

Citation
F. M. Shofner, T. G. Russell, and R. Menzel, "Two-Dimensional Spatial Frequency Analysis of the Fraunhofer Hologram of a Small Opaque Sphere," Appl. Opt. 8, 2043-2046 (1969)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-8-10-2043

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