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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 25 — Dec. 6, 2010
  • pp: 25482–25493

On the propagation of truncated localized waves in dispersive silica

Mohamed A. Salem and Hakan Bağcı  »View Author Affiliations

Optics Express, Vol. 18, Issue 25, pp. 25482-25493 (2010)

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Propagation characteristics of truncated Localized Waves propagating in dispersive silica and free space are numerically analyzed. It is shown that those characteristics are affected by the changes in the relation between the transverse spatial spectral components and the wave vector. Numerical experiments demonstrate that as the non-linearity of this relation gets stronger, the pulses propagating in silica become more immune to decay and distortion whereas the pulses propagating in free-space suffer from early decay and distortion.

© 2010 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

Original Manuscript: August 24, 2010
Revised Manuscript: October 18, 2010
Manuscript Accepted: November 4, 2010
Published: November 22, 2010

Mohamed A. Salem and Hakan Baǧci, "On the propagation of truncated localized waves in dispersive silica," Opt. Express 18, 25482-25493 (2010)

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  1. H. A. Willebrand, and B. S. Ghuman, "Fiber optics without fiber," IEEE Spectr. 38, 40-45 (2001). [CrossRef]
  2. L. B. Felsen, "Phase space issues in ultrawideband/short pulse wave modeling," in Ultra-Wideband, Short-Pulse Electromagnetics, H. Bertoni, L. Carin, and L. B. Felsen, eds. (Plenum Press, New York, 1993).
  3. J.-Y. Lu, J. Cheng, and B. Cameron, "Low sidelobe limited diffraction optical coherence tomography," in "Coherence Domain Optical Methods in Biomedical Science and Clinical Applications VI, Proc. of SPIE," vol. 4619, V. V. Tuchin, J. A. Izatt, and J. G. Fujimoto, eds. (SPIE, 2006), vol. 4619, pp. 300-311.
  4. T. Ito, and S. Okazaki, "Pushing the limits of lithography," Nature 406, 1027-1031 (2000). [CrossRef] [PubMed]
  5. J. N. Brittingham, "Focus waves modes in homogeneous Maxwell’s equations: transverse electric mode," J. Appl. Phys. 54, 1179-1189 (1983). [CrossRef]
  6. J.-Y. Lu, and J. F. Greenleaf, "Nondiffracting X waves: exact solutions to free-space scalar wave equation and their infinite realizations," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19-31 (1992). [CrossRef] [PubMed]
  7. R. W. Ziolkowski, "Exact solutions of the wave equation with complex source locations," J. Math. Phys. 26, 861-863 (1985). [CrossRef]
  8. A. M. Shaarawi, "Comparison of two localized wave fields generated from dynamic apertures," J. Opt. Soc. Am. A 14, 1804-1816 (1997). [CrossRef]
  9. E. Heyman, B. Z. Steinberg, and L. B. Felsen, "Spectral analysis of focus wave modes," J. Opt. Soc. Am. A 4, 2081-2091 (1987). [CrossRef]
  10. E. Heyman, "The focus wave mode: a dilemma with causality," IEEE Trans. Antenn. Propag. 37, 1604-1608 (1989). [CrossRef]
  11. H. E. Hernández-Figueroa, M. Zamboni-Rached, and E. Recami, eds., Localized waves (J. Wiley & Sons, New York, NY, 2008). [CrossRef]
  12. A. M. Shaarawi, R. W. Ziolkowski, and I. M. Besieris, "On the evanescent fields and the causality of the focus wave modes," J. Math. Phys. 36, 5565-5587 (1995). [CrossRef]
  13. M. Zamboni-Rached, "Subluminal wave bullets: Exact localized subluminal solutions to the wave equations," Phys. Rev. A 77, 033824 (2008). [CrossRef]
  14. M. Zamboni-Rached, "Unidirectional decomposition method for obtaining exact localized wave solutions totally free of backward components," Phys. Rev. A 79, 013816 (2009). [CrossRef]
  15. A. Sezginer, "A general formulation of focus wave modes," J. Appl. Phys. 57, 678-683 (1985). [CrossRef]
  16. T. T. Wu, and H. Lehmann, "Spreading of electromagnetic pulses," J. Appl. Phys. 58, 2064-2065 (1985). [CrossRef]
  17. R. W. Ziolkowski, "Localized transmission of electromagnetic energy," Phys. Rev. A 39, 2005-2033 (1989). [CrossRef] [PubMed]
  18. I. M. Besieris, A. M. Shaarawi, and R. W. Ziolkowski, "A bidirectional travelling plane wave representation of exact solutions of the scalar wave equation," J. Math. Phys. 30, 1254-1269 (1989). [CrossRef]
  19. H. Sõnajalg, and P. Saari, "Suppression of temporal spread of ultrashort pulses in dispersive media by Bessel beam generators," Opt. Lett. 21, 1162-1164 (1996). [CrossRef] [PubMed]
  20. M. A. Porras, "Diffraction-free and dispersion-free pulsed beam propagation in dispersive media," Opt. Lett. 26, 1364-1366 (2001). [CrossRef]
  21. S. Orlov, A. Piskarskas, and A. Stabinis, "Localized optical subcycle pulses in dispersive media," Opt. Lett. 27, 2167-2169 (2002). [CrossRef]
  22. M. Zamboni-Rached, K. Z. Nóbrega, H. E. Hernández-Figueroa, and E. Recami, "Localized superluminal solutions to the wave equation in (vacuum or) dispersive media, for arbitrary frequencies and with adjustable bandwidth," Opt. Commun. 226, 15-23 (2003). [CrossRef]
  23. R. Donnelly, and R. W. Ziolkowski, "Designing localized waves," Proc. R. Soc. Lond. A 440, 541-565 (1993). [CrossRef]
  24. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, New York, 1995), 2nd ed.
  25. A. M. Shaarawi, S. M. Sedky, R. W. Ziolkowski, and I. M. Besieris, "The spatial distribution of the illumination of dynamic apertures and its effect on the decay rate of the radiated localized pulses," J. Phys. Math. Gen. 29, 5157-5179 (1996). [CrossRef]

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