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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 12 — Jun. 13, 2005
  • pp: 4594–4599

Dependence of multiple filamentation on beam ellipticity

Taylor D. Grow and Alexander L. Gaeta  »View Author Affiliations

Optics Express, Vol. 13, Issue 12, pp. 4594-4599 (2005)

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We investigate the effects of beam ellipticity on the dynamics of multiple filamentation. We find that increasing the ellipticity of the initial beam decreases the power required for multiple filamentation. At lower input ellipticities, the beam breaks into filaments along its widest dimension, whereas for higher ellipticities the pulse breaks into bands and then into filaments as the power is increased. The breakup patterns of the beam along the wider dimension are consistent with the modulational instability, and these patterns are independent of polarization and noise. Numerical simulations are in qualitative agreement with these features of multiple filamentation breakup.

© 2005 Optical Society of America

OCIS Codes
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(320.7110) Ultrafast optics : Ultrafast nonlinear optics

ToC Category:
Research Papers

Original Manuscript: April 12, 2005
Revised Manuscript: May 19, 2005
Published: June 13, 2005

Taylor Grow and Alexander Gaeta, "Dependence of multiple filamentation on beam ellipticity," Opt. Express 13, 4594-4599 (2005)

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  2. K. D. Moll, A. L. Gaeta, and G. Fibich, �??Self-similar optical wave collapse: observation of the Townes profile,�?? Phys. Rev. Lett. 90, 203902 (2003). [CrossRef] [PubMed]
  3. L. Bergé, C. Gouédard, J. Schjødt-Eriksen, and H. Ward, �??Filamentation patterns in Kerr media vs. beam shape robustness, nonlinear saturation and polarization states,�?? Physica D 176, 181 (2003). [CrossRef]
  4. V. I. Bespalov and V. I. Talanov, �??Filamentary structure of light beams in non-linear liquids,�?? JETP Lett. 3, 307-310 (1966).
  5. J. W. Grantham, H. M. Gibbs, G. Khitrova, J. F. Valley, and Xu Jiajin, �??Kaleidoscopic spatial instability: bifurcations of optical transverse solitary waves,�?? Phys. Rev. Lett. 66, 1422 (1991). [CrossRef] [PubMed]
  6. G. Fibich, and B. Ilan, �??Self-focusing of circularly polarized beams,�?? Phys. Rev. E 67, 036622 (2003). [CrossRef]
  7. S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, �??Observation of multiple soliton generation mediated by amplification of asymmetries,�?? Phys. Rev. E 67, 046616 (2003). [CrossRef]
  8. A. Dubietis, G. Tamošauskas, G. Fibich, and B. Ilan, �??Multiple filamentation induced by input-beam ellipticity,�?? Opt. Lett. 29, 1126 (2004). [CrossRef] [PubMed]
  9. G. Fibich, S. Eisenmann, B. Ilan, and A. Zigler, �??Control of multiple filamentation in air,�?? Opt. Lett. 29, 1772 (2004). [CrossRef] [PubMed]
  10. G. Fibich, and B. Ilan, �??Self-focusing of elliptic beams: an example of the failure of the aberrationless approximation,�?? J. Opt. Soc. Am. B 17, 1749 (2000). [CrossRef]
  11. G. Fibich and B. Ilan, �??Deterministic vectorial effects lead to multiple filamentation,�?? Opt. Lett. 26, 840 (2001). [CrossRef]
  12. G. Fibich and B. Ilan, �??Vectorial and random effects in self-focusing and in multiple filamentation,�?? Physica D 157, 112 (2001). [CrossRef]
  13. R. W. Boyd, Nonlinear Optics (Academic, San Diego, 2003)

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