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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. 19, Iss. 12 — Dec. 1, 2002
  • pp: 2510–2516

Phenomenon of spectral switches as a new effect in singular optics with polychromatic light

John T. Foley and Emil Wolf  »View Author Affiliations


JOSA A, Vol. 19, Issue 12, pp. 2510-2516 (2002)
http://dx.doi.org/10.1364/JOSAA.19.002510


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Abstract

It is shown that the recently discovered phenomenon of so-called spectral switches has a natural interpretation in the framework of singular optics with polychromatic light and that it should be regarded as being primarily a manifestation of diffraction-induced spectral changes rather than correlation-induced spectral changes as was suggested in the original papers [the first one appearing in Opt. Commun. 162, 57 (1999)] reporting this effect.

© 2002 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(260.0260) Physical optics : Physical optics
(300.0300) Spectroscopy : Spectroscopy

History
Original Manuscript: April 1, 2002
Revised Manuscript: June 21, 2002
Manuscript Accepted: June 21, 2002
Published: December 1, 2002

Citation
John T. Foley and Emil Wolf, "Phenomenon of spectral switches as a new effect in singular optics with polychromatic light," J. Opt. Soc. Am. A 19, 2510-2516 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-12-2510


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References

  1. J. Pu, H. Zhang, S. Nemoto, “Spectral shifts and spectral switches of partially coherent light passing through an aperture,” Opt. Commun. 162, 57–63 (1999). [CrossRef]
  2. J. Pu, S. Nemoto, “Spectral shifts and spectral switches in diffraction of partially coherent light by a circular aperture,” IEEE J. Quantum Electron. 36, 1407–1411 (2000). [CrossRef]
  3. J. Pu, S. Nemoto, “Spectral changes and 1×N spectral switches in the diffraction of partially coherent light by an aperture,” J. Opt. Soc. Am. A 19, 339–344 (2002). [CrossRef]
  4. H. C. Kandpal, “Experimental observation of the phenomenon of spectral switch,” J. Opt. A Pure Appl. Opt. 3, 296–299 (2001). [CrossRef]
  5. H. C. Kandpal, A. S. Vaishya, “Experimental observation of the phenomenon of spectral switching for a class of partially coherent light,” IEEE J. Quantum Electron. 38, 336–339 (2002). [CrossRef]
  6. For a review of singular optics see M. S. Soskin, M. V. Vasnetov, “Singular optics,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 2001), Vol. 42, pp. 219–276.
  7. A pioneering paper in this field is due to J. F. Nye, M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165–190 (1974). [CrossRef]
  8. G. Gbur, T. D. Visser, E. Wolf, “Anomalous behavior of spectra near phase singularities of focused waves,” Phys. Rev. Lett. 88, 013901 (2002). [CrossRef] [PubMed]
  9. G. Gbur, T. D. Visser, E. Wolf, “Singular behavior of the spectrum in the neighborhood of focus,” J. Opt. Soc. Am. A 19, 1694–1700 (2002). [CrossRef]
  10. G. Popescu, A. Dogariu, “Spectral anomalies at wave-front dislocations,” Phys. Rev. Lett. 88, 183902 (2002). [CrossRef] [PubMed]
  11. In the present section we take the spectrum of the incident light to have a Lorenzian profile in order to compare our results more easily with those of Ref. 1. Later we will take the profile to be Gaussian in order to compare our results with those of Ref. 8.
  12. A. Gray, G. B. Mathews, T. M. MacRobert, A Treatise on Bessel Functions, 2nd ed. (MacMillan, London, 1922), p. 203, Eq. (49).
  13. J. Walker, The Analytical Theory of Light (Cambridge U. Press, Cambridge, UK, 1904), p. 147.
  14. M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, UK, 1999), Sec. 8.8.1, Eqs. (11) and (21b). See also Ref. 12, p. 182, Eq. (10).
  15. G. N. Watson, A Treatise on the Theory of Bessel Functions, 7th ed. (Cambridge U. Press, Cambridge, UK, 1944), Sec. 16.5.

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