Observation of new singular solutions of the nonlinear schro¨dinger equation

Nonlinear Guided Waves and Their Applications, NLGW 2005

Volumn , Issue , 2005, Pages

  Grow, Taylor D ^a   Gaeta, Alexander L ^a   Fibich, Gadi ^b  

^a School of Operations Research and Industrial Engineering   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN BEAMS; GUIDED ELECTROMAGNETIC WAVE PROPAGATION;

A-RINGS; DINGER EQUATION; SINGULAR SOLUTIONS; SPATIAL PROFILES;

NONLINEAR EQUATIONS;

EID: 85085846420     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1364/nlgw.2005.fc4     Document Type: Conference Paper

References (6)

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2. L. Berge´, C.Goue´dard, J. Schjødt-Eriksen, H. Ward, “Filamentation patterns in Kerr media vs. beam shape robustness, nonlinear saturation and the polarization states,“ Physica D. 176, 181 (2003).
3. G. Fibich and G. C. Papanicolaou, ''Self-focusing in the critical dimension,'' SIAM J. Appl. Math. 60, 183 (1999).
4. 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).
5. J. Kasparian, M. Rodriguez, G. Mejean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. Andre, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf and L. Woste, “White-light filaments for atmospheric analysis,“ Science 301, 61 (2003).
6. A. L. Gaeta, “Catastrophic collapse of ultrashort pulses,“ Phys. Rev. Lett. 84, 3582 (2000).