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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. 17, Iss. 10 — Oct. 1, 2000
  • pp: 1785–1790

Optical generation of focus wave modes

Kaido Reivelt and Peeter Saari  »View Author Affiliations


JOSA A, Vol. 17, Issue 10, pp. 1785-1790 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001785


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Abstract

Localized wave solutions of free-space wave equation can be used in numerous applications where the localized transmission of electromagnetic energy is of major importance. However, an optical implementation of localized wave fields has not been accomplished yet, except for an ultrashort version of the Bessel beams or the so called Bessel-X pulses. We propose an approach to constructing realizable optical schemes for generation of localized wave fields. We show that wavelength dispersion of the cone angle of axicons and circular diffraction gratings can be used to generate good approximation to focus wave modes.

© 2000 Optical Society of America

OCIS Codes
(000.2690) General : General physics
(050.1950) Diffraction and gratings : Diffraction gratings
(220.4830) Optical design and fabrication : Systems design

History
Original Manuscript: October 15, 1999
Revised Manuscript: May 31, 2000
Manuscript Accepted: May 31, 2000
Published: October 1, 2000

Citation
Kaido Reivelt and Peeter Saari, "Optical generation of focus wave modes," J. Opt. Soc. Am. A 17, 1785-1790 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-10-1785


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References

  1. J. N. Brittingham, “Focus wave modes in homogeneous Maxwell’s equations: transverse electric mode,” J. Appl. Phys. 54, 1179–1189 (1983). [CrossRef]
  2. J. Durnin, J. J. Miceli, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987). [CrossRef] [PubMed]
  3. P. L. Ovefelt, “Bessel–Gauss pulses,” Phys. Rev. A 44, 3941–3947 (1991). [CrossRef]
  4. J. Lu, J. G. Greenleaf, “Nondiffracting X waves—exact solutions to free-space scalar wave equation and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19–31 (1992). [CrossRef]
  5. R. W. Ziolkowski, “Localized wave physics and engineering,” Phys. Rev. A 44, 3960–3983 (1991). [CrossRef] [PubMed]
  6. J. Fagerhorm, A. T. Friberg, J. Huttunen, D. Morgan, M. M. Salomaa, “Angular-spectrum representation of nondiffracting X waves,” Phys. Rev. E 54, 4347–4352 (1996). [CrossRef]
  7. P. Saari, H. Sõnajalg, “Pulsed Bessel beams,” Laser Phys. 7, 32–39 (1997).
  8. K. Reivelt, P. Saari, “Angular spectrum analysis and synthesis of propagation-invariant femtosecond-domain localized wave fields,” in Ultrafast Processes in Spectroscopy, R. Kaarli, A. Freiberg, P. Saari, eds. (Institute of Physics, University of Tartu, Tartu, Estonia, 1998), pp. 168–175.
  9. H. Sõnajalg, M. Rätsep, P. Saari, “Demonstration of the Bessel-X pulse propagating with strong lateral and longitudinal localization in a dispersive media,” Opt. Lett. 22, 310–312 (1997). [CrossRef]
  10. A. Vasara, J. Turunen, A. T. Friberg, “Realization of general nondiffracting beams with computer-generated holograms,” J. Opt. Soc. Am. A 6, 1748–1754 (1989). [CrossRef] [PubMed]
  11. P. Saari, K. Reivelt, “Evidence of X-shaped propagation-invariant localized light waves,” Phys. Rev. Lett. 79, 4135–4138 (1997). [CrossRef]
  12. A. M. Shaarawi, “Comparison of two localized wave fields generated from dynamic apertures,” J. Opt. Soc. Am. A 14, 1804–1815 (1997). [CrossRef]
  13. A. M. Shaarawi, R. W. Ziolkowski, I. M. Besieris, “On the evanescent fields and the causality of the focus wave modes,” J. Math. Phys. 36, 5565–5587 (1995). [CrossRef]
  14. Z. Bin, L. Zhu, “Diffraction property of an axicon in oblique illumination,” Appl. Opt. 37, 2563–2568 (1998). [CrossRef]
  15. S. Solimeno, B. Crosignani, P. DiPorto, Guiding, Diffraction, and Confinement of Optical Radiation (Academic, New York, 1986).
  16. S. Chávez-Cerda, G. S. McDonald, G. H. C. New, “Nondiffracting beams: traveling, standing and spiral waves,” Opt. Commun. 123, 225–233 (1996). [CrossRef]
  17. In Optics, Opto-Mechanics, Lasers, Instruments (catalog) (Melles Griot, Irvine, Calif., 1995).
  18. E. J. Mayer, J. Möbius, A. Euteneuer, W. W. Rühle, R. Szipöcs, “Ultrabroadband chirped mirrors for femtosecond lasers,” Opt. Lett. 22, 528–530 (1997). [CrossRef] [PubMed]

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