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Optics Letters

Optics Letters


  • Vol. 27, Iss. 14 — Jul. 15, 2002
  • pp: 1211–1213

Spectral anomalies in a Fraunhofer diffraction pattern

Sergey A. Ponomarenko and Emil Wolf  »View Author Affiliations

Optics Letters, Vol. 27, Issue 14, pp. 1211-1213 (2002)

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We show that spectacular spectral changes take place in the vicinity of the dark rings of the Airy pattern formed with spatially coherent, polychromatic light diffracted at a circular aperture.

© 2002 Optical Society of America

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(260.3160) Physical optics : Interference
(300.6170) Spectroscopy : Spectra

Sergey A. Ponomarenko and Emil Wolf, "Spectral anomalies in a Fraunhofer diffraction pattern," Opt. Lett. 27, 1211-1213 (2002)

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  1. J. F. Nye, Natural Focusing and the Fine Structure of Light (Institute of Physics, Bristol, UK, 1999).
  2. A pioneering paper on this subject is by J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
  3. A review of singular optics was recently presented by M. S. Soskin and M. V. Vasnetsov, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 2001), Vol. 42, p. 219.
  4. G. Gbur, T. D. Visser, and E. Wolf, Phys. Rev. Lett. 88, 013901 (2001).
  5. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, Cambridge, 1999).
  6. It follows at once from elementary geometry (in the small angle approximation) that θ and ø are related by the formula θ≃θc+2e/r sinø, which was used to calculate the spectrum for different values of ø.

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