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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 57, Iss. 11 — Nov. 1, 1967
  • pp: 1325–1327

Transfer Function of an Elliptical Annular Aperture

J. V. CORNACCHIO  »View Author Affiliations


JOSA, Vol. 57, Issue 11, pp. 1325-1327 (1967)
http://dx.doi.org/10.1364/JOSA.57.001325


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Abstract

<p>The normalized transfer function of an elliptical annular aperture for incoherent illumination is derived. The relationship between the formulation developed here and a problem occurring in the diffraction from apertures illuminated with partially coherent radiation is shown. Results are discussed in terms of spatial-filtering concepts, with emphasis on the behavior of the cutoff frequency and the passband characteristics in the spatial-frequency plane.</p><p>The effect of the aperture ellipticity for arbitrary annulus width is to introduce an asymmetry in the behavior of the cutoff frequency. The presence of a central obstruction, for arbitrary ellipticity, emphasizes the high-frequency transmission, with the region of emphasis dependent upon the angular orientation in the frequency plane.</p>

Citation
J. V. CORNACCHIO, "Transfer Function of an Elliptical Annular Aperture," J. Opt. Soc. Am. 57, 1325-1327 (1967)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-57-11-1325

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