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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

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 8 — Aug. 1, 2008
  • pp: 2040–2043

Diffraction by a circular aperture: an application of the vectorial theory of Huygens’s principle in the near field

J. A. Romero and L. Hernández  »View Author Affiliations


JOSA A, Vol. 25, Issue 8, pp. 2040-2043 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002040


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Abstract

A vectorial theory that brings new insight into the nature of diffraction is used to obtain mathematical expressions that evaluate diffraction patterns in the near field. The equations allow us to discriminate between the contributions of the vectorial and the scalar approaches. In the near field we studied the pattern of light diffracted through a circular aperture, and it was proved that the vectorial approach is significant in a region very near the circular aperture. In spite of the obvious differences between the circular aperture and other obstacles, the present theory may also be used with other geometries.

© 2008 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(050.1960) Diffraction and gratings : Diffraction theory
(050.1970) Diffraction and gratings : Diffractive optics

ToC Category:
Diffraction and Gratings

History
Original Manuscript: April 16, 2008
Manuscript Accepted: June 6, 2008
Published: July 14, 2008

Citation
J. A. Romero and L. Hernández, "Diffraction by a circular aperture: an application of the vectorial theory of Huygens's principle in the near field," J. Opt. Soc. Am. A 25, 2040-2043 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-8-2040


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References

  1. H. L. F. v. Helmholtz, Treatise on Physiological Optics (1867) (Optical Society of America, 1924-1925).
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  10. F. Depasse, M. A. Paesler, D. Courjon, and J. M. Vigoureux, “Huygens-Fresnel principle in the near field,” Opt. Lett. 20, 234-236 (1995). [CrossRef] [PubMed]

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