Singular behavior of the spectrum in the neighborhood of focus

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

Volumn 19, Issue 8, 2002, Pages 1694-1700

  Gbur, Greg ^a   Visser, Taco D ^a,b   Wolf, Emil ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

^b VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; FOCUSING; WAVEFRONTS;

POLYCHROMATIC WAVES;

COHERENT LIGHT;

EID: 0037604239     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.001694     Document Type: Article

References (10)

1. A pioneering paper on this subject is due to J. F. Nye and M. V. Berry, "Dislocation in wavetrains," Proc. R. Soc. London Ser. A 336, 165-190 (1974).
2. For a review of singular optics see, for example, M. S. Soskin and M. V. Vasnetsov, "Singular optics," in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 2001), Vol. 42, pp. 219-276.
3. M. V. Berry and A. N. Wilson, "Black-and-white fringes and the colors of caustics," Appl. Opt. 33, 4714-4718 (1994).
4. M. V. Berry and S. Klein, "Colored diffraction catastrophes," Proc. Natl. Acad. Sci. U.S.A. 93, 2614-2619 (1996).
5. G. Gbur, T. D. Visser, and E. Wolf, "Anomalous behavior of spectra near phase singularities of focused waves," Phys. Rev. Lett. 88, 013901 (2002).
6. G. Popescu and A. Dogariu, "Spectral anomalies at wavefront dislocations," Phys. Rev. Lett. 88, 183902 (2002).
7. M. Born and E. Wolf, Principles of Optics, 7th (expanded) ed. (Cambridge U. Press, Cambridge, UK, 1999).
8. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).
9. V. A. Pas'ko, M. S. Soskin, and M. V. Vasnetsov, "Transversal optical vortex," Opt. Commun. 198, 49-56 (2001).
10. The term "intensity" is used in optics with several different meanings. In this paper we mean by it the frequency-integrated spectrum, as indicated in Eq. (27).