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.
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.
© 1967 Optical Society of AmericaFull Article | PDF Article
OSA Recommended Articles
Edward L. O’Neill
J. Opt. Soc. Am. 46(4) 285-288 (1956)
Richard Barakat and Agnes Houston
J. Opt. Soc. Am. 55(5) 538-541 (1965)
K. Singh and K. N. Chopra
J. Opt. Soc. Am. 60(5) 641-645 (1970)