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

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 19, Issue 12, 2002, Pages 2510-2516

  Foley, John T ^a   Wolf, Emil ^b  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

^b UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVE DIFFRACTION; OPTICAL CORRELATION; SPECTRUM ANALYSIS;

SINGULAR OPTICS;

OPTICAL SWITCHES;

EID: 0042154230     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.002510     Document Type: Article

References (15)

1. J. Pu, H. Zhang, and S. Nemoto, "Spectral shifts and spectral switches of partially coherent light passing through an aperture," Opt. Commun. 162, 57-63 (1999).
2. J. Pu and 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).
3. J. Pu and 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).
4. H. C. Kandpal, "Experimental observation of the phenomenon of spectral switch," J. Opt. A Pure Appl. Opt. 3, 296-299 (2001).
5. H. C. Kandpal and 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).
6. For a review of singular optics see M. S. Soskin and 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 and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165-190 (1974).
8. G. Gbur, T. D. Visser, and E. Wolf, "Anomalous behavior of spectra near phase singularities of focused waves," Phys. Rev. Lett. 88, 013901 (2002).
9. G. Gbur, T. D. Visser, and E. Wolf, "Singular behavior of the spectrum in the neighborhood of focus," J. Opt. Soc. Am. A 19, 1694-1700 (2002).
10. G. Popescu and A. Dogariu, "Spectral anomalies at wave-front dislocations," Phys. Rev. Lett. 88, 183902 (2002).
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, and 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 and B. 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.