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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 4 — Apr. 1, 2004
  • pp: 540–545

Fresnel diffraction by a circular aperture with off-axis illumination and its use in deconvolution of microscope images

Colin J. R. Sheppard and Ian J. Cooper  »View Author Affiliations


JOSA A, Vol. 21, Issue 4, pp. 540-545 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000540


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Abstract

The Fresnel approximation for off-axis illumination of a circular aperture is reexamined. The point-spread function for an aberration-free system can be expressed in terms of redefined optical coordinates. An improved expression is given for contours of constant intensity in the focal plane. The variation in axial width of the focal spot with angle of offset is discussed. The predictions are compared with exact calculations of the Rayleigh–Sommerfeld diffraction integral. Limitations for application in deconvolution of microscope images formed with objectives of finite tube length are discussed.

© 2004 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(080.1010) Geometric optics : Aberrations (global)
(100.1830) Image processing : Deconvolution
(110.6880) Imaging systems : Three-dimensional image acquisition
(260.1960) Physical optics : Diffraction theory

History
Original Manuscript: May 2, 2003
Revised Manuscript: September 1, 2003
Manuscript Accepted: December 1, 2003
Published: April 1, 2004

Citation
Colin J. R. Sheppard and Ian J. Cooper, "Fresnel diffraction by a circular aperture with off-axis illumination and its use in deconvolution of microscope images," J. Opt. Soc. Am. A 21, 540-545 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-4-540

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