Self-guided waves and exact solutions of the nonlinear Helmholtz equation

Journal of the Optical Society of America B: Optical Physics

Volumn 17, Issue 5, 2000, Pages 751-757

  Laine, Timo A ^a   Friberg, Ari T ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVE DIFFRACTION; LIGHT PROPAGATION; OPTICAL KERR EFFECT; WAVE EQUATIONS;

SELF-GUIDED WAVES;

NONLINEAR OPTICS;

EID: 0034381292     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.17.000751     Document Type: Article

References (18)

1. R. W. Boyd, Nonlinear Optics (London, Academic, 1992).
2. J. S. Aitchison, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, and P. W. E. Smith, "Observation of spatial optical solitons in a nonlinear glass waveguide," Opt. Lett. 15, 471-473 (1990).
3. J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. L. Jackel, and P. W. E. Smith, "Experimental observation of spatial soliton interactions," Opt. Lett. 16, 15-17 (1991).
4. R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-trapping of optical beams," Phys. Rev. Lett. 13, 479-482 (1964); E. Garmire, R. Y. Chiao, and C. H. Townes, "Dynamics and characteristics of the self-trapping of intense light beams," Phys. Rev. Lett. 16, 347-349 (1966).
5. R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-trapping of optical beams," Phys. Rev. Lett. 13, 479-482 (1964); E. Garmire, R. Y. Chiao, and C. H. Townes, "Dynamics and characteristics of the self-trapping of intense light beams," Phys. Rev. Lett. 16, 347-349 (1966).
6. V. I. Talanov, "Focusing of light in cubic media," JETP Lett. 2, 138-141 (1965); P. L. Kelley, "Self-focusing of optical beams," Phys. Rev. Lett. 15, 1005-1008 (1965); Y. R. Shen, "Self-focusing: experimental," Prog. Quantum Electron. 4, 1-34 (1975).
7. V. I. Talanov, "Focusing of light in cubic media," JETP Lett. 2, 138-141 (1965); P. L. Kelley, "Self-focusing of optical beams," Phys. Rev. Lett. 15, 1005-1008 (1965); Y. R. Shen, "Self-focusing: experimental," Prog. Quantum Electron. 4, 1-34 (1975).
8. V. I. Talanov, "Focusing of light in cubic media," JETP Lett. 2, 138-141 (1965); P. L. Kelley, "Self-focusing of optical beams," Phys. Rev. Lett. 15, 1005-1008 (1965); Y. R. Shen, "Self-focusing: experimental," Prog. Quantum Electron. 4, 1-34 (1975).
9. D. Anderson, M. Bonneal, and M. Lisak, "Self-trapped cylindrical laser beams," Phys. Fluids 22, 1838-1840 (1979); O. Anderson and M. Bonneal, "Variational approach to nonlinear self-focusing of Gaussian laser beams," Phys. Fluids 22, 105-109 (1979).
10. D. Anderson, M. Bonneal, and M. Lisak, "Self-trapped cylindrical laser beams," Phys. Fluids 22, 1838-1840 (1979); O. Anderson and M. Bonneal, "Variational approach to nonlinear self-focusing of Gaussian laser beams," Phys. Fluids 22, 105-109 (1979).
11. M. Karlsson, D. Anderson, and M. Desaix, "Dynamics of self-focusing and self-phase modulation in a parabolic index optical fiber," Opt. Lett. 17, 22-24 (1992).
12. M. Karlsson, D. Anderson, M. Desaix, and M. Lisak, "Dynamic effects of Kerr nonlinearity and spatial diffraction on self-phase modulation of optical pulses," Opt. Lett. 16, 1373-1375 (1991).
13. A. L. Dyshko, V. N. Lugovoi, and A. M. Prokhorov, "Self-focusing of intense light beams," JETP Lett. 6, 146-148 (1967).
14. M. D. Feit and J. A. Fleck, Jr., "Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams," J. Opt. Soc. Am. B 5, 633-640 (1988).
15. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), Eq. (5.2-14).
16. L. Gagnon, "Exact solutions for optical wave propagation including transverse effects," J. Opt. Soc. Am. B 7, 1098-1102 (1990).
17. 0) is constant and the nonlinearity is weak (γ ≪ 1), Eq. (9) remains valid as long as the vector property of the electromagnetic field is not dominant.
18. S. Maneuf, R. Desailly, and C. Froehly, "Stable self-trapping of laser beams: observation in a nonlinear planar waveguide," Opt. Commun. 65, 193-198 (1988).