OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 12 — Dec. 1, 2004
  • pp: 2418–2423

Spectral anomalies in focused waves of different Fresnel numbers

Carlos J. Zapata-Rodrı́guez and Juan A. Monsoriu  »View Author Affiliations


JOSA A, Vol. 21, Issue 12, pp. 2418-2423 (2004)
http://dx.doi.org/10.1364/JOSAA.21.002418


View Full Text Article

Enhanced HTML    Acrobat PDF (438 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Light propagation induces remarkable changes in the spectrum of focused diffracted beams. We show that spectral changes take place in the vicinity of phase singularities in the focal region of spatially coherent, polychromatic spherical waves of different Fresnel numbers. Instead of the Debye formulation, we use the Kirchhoff integral to evaluate the focal field accurately. We find that as a result of a decrease in the Fresnel number, some cylindrical spectral switches are geometrically transformed into conical spectral switches.

© 2004 Optical Society of America

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

History
Original Manuscript: June 5, 2004
Revised Manuscript: July 7, 2004
Manuscript Accepted: July 7, 2004
Published: December 1, 2004

Citation
Carlos J. Zapata-Rodrı́guez and Juan A. Monsoriu, "Spectral anomalies in focused waves of different Fresnel numbers," J. Opt. Soc. Am. A 21, 2418-2423 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-12-2418


Sort:  Author  |  Year  |  Journal  |  Reset  

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. L. Pan, B. Lü, “Spectral changes and spectral switches of partially coherent beams focused by an aperture lens,” J. Opt. Soc. Am. A 21, 140–148 (2004). [CrossRef]
  3. G. Gbur, T. D. Visser, E. Wolf, “Anomalous behavior of spectra near phase singularities of focused waves,” Phys. Rev. Lett. 88, 013901–013904 (2002). [CrossRef] [PubMed]
  4. 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]
  5. J. T. Foley, E. Wolf, “Phenomenon of spectral switches as a new effect in singular optics with polychromatic light,” J. Opt. Soc. Am. A 19, 2510–2516 (2002). [CrossRef]
  6. S. A. Ponomarenko, E. Wolf, “Spectral anomalies in a Fraunhofer diffraction pattern,” Opt. Lett. 27, 1211–1213 (2002). [CrossRef]
  7. T. D. Visser, E. Wolf, “Spectral anomalies near phase singularities in partially coherent focused wavefields,” J. Opt. A, Pure Appl. Opt. 5, 371–373 (2003). [CrossRef]
  8. D. Ganic, J. W. M. Chon, M. Gu, “Effect of numerical aperture on the spectral splitting feature near phase singularities of focused waves,” Appl. Phys. Lett. 82, 1527–1528 (2003). [CrossRef]
  9. A. Arimoto, “Intensity distribution of aberration-free diffraction patterns due to circular apertures in large F-number optical systems,” Opt. Acta 23, 245–250 (1976). [CrossRef]
  10. Y. Li, E. Wolf, “Focal shifts in diffracted converging spherical waves,” Opt. Commun. 39, 211–215 (1981). [CrossRef]
  11. J. H. Erkkila, M. E. Rogers, “Diffracted fields in the focal volume of a converging wave,” J. Opt. Soc. Am. 71, 904–905 (1981). [CrossRef]
  12. J. J. Stamnes, Waves in Focal Regions (Hilger, Bristol, UK, 1986).
  13. M. Martı́nez-Corral, V. Climent, “Focal switch: a new effect in low-Fresnel-number systems,” Appl. Opt. 35, 24–27 (1996). [CrossRef] [PubMed]
  14. C. J. Zapata-Rodrı́guez, M. Martı́nez-Corral, P. Andrés, A. Pons, “Inverse focal shift: a new effect in truncated cylindrical waves,” J. Mod. Opt. 46, 129–144 (1999). [CrossRef]
  15. J. J. Stamnes, B. Spjelkavik, “Focusing at small angular apertures in the Debye and Kirchhoff approximation,” Opt. Commun. 40, 81–85 (1981). [CrossRef]
  16. Y. Li, E. Wolf, “Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers,” J. Opt. Soc. Am. A 1, 801–808 (1984). [CrossRef]
  17. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, UK, 1980).
  18. E. Wolf, Y. Li, “Conditions for the validity of the Debye integral representation of focused fields,” Opt. Commun. 39, 205–210 (1981). [CrossRef]
  19. E. Collett, E. Wolf, “Symmetry properties of focused fields,” Opt. Commun. 5, 264–266 (1980).
  20. C. J. Zapata-Rodrı́guez, P. Andrés, M. Martı́nez-Corral, L. Muñoz-Escrivá, “Gaussian imaging transformation for the paraxial Debye formulation of the focal region in a low-Fresnel-number optical system,” J. Opt. Soc. Am. A 17, 1185–1191 (2000). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited