Mighty morphing spatial solitons and bullets

Optics Letters

Volumn 22, Issue 1, 1997, Pages 16-18

  Snyder, Allan W ^a   Mitchell, John D ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002262923     PISSN: 01469592     EISSN: None     Source Type: Journal    
DOI: 10.1364/OL.22.000016     Document Type: Article

References (17)

1. The inverse scattering technique does not give a closed-form expression for the evolution of sech profile beam of arbitrary amplitude and width, only for special values. It provides an implicit description at asymptotic distances for 1 + 1 - D beams of a cubic (Kerr) nonlinearity.
2. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992); Phys. Rev. Lett. 74, 1978 (1995); M. Shih, P. Leach, M. Segev, M. H. Garrett, G. Salamar, and G. C. Valley, Opt. Lett. 21, 324 (1996).
3. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992); Phys. Rev. Lett. 74, 1978 (1995); M. Shih, P. Leach, M. Segev, M. H. Garrett, G. Salamar, and G. C. Valley, Opt. Lett. 21, 324 (1996).
4. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992); Phys. Rev. Lett. 74, 1978 (1995); M. Shih, P. Leach, M. Segev, M. H. Garrett, G. Salamar, and G. C. Valley, Opt. Lett. 21, 324 (1996).
5. V. Tikhonenko, J. Christour, and B. Luther-Davies, J. Opt. Soc. Am. B 12, 2046 (1995).
6. 2)t, with t the retarded time.
7. Periodic solitons of a saturating medium have been reported previously in a non-Kerr medium, but they suffer a small radiation loss. See A. W. Snyder, S. Hewlett, and D. J. Mitchell, Phys. Rev. E 51, 6297 (1995).
8. Saturation ensures that beams of circular cross section are highly stable and can be steered in 3D, and their collisions lead to versatile devices, as shown by A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur, Opt. Lett. 16, 27 (1991); L. Poladian, A. W. Snyder, and D. J. Mitchell, Opt. Commun. 85, 59 (1991); and A. W. Snyder and A. P. Sheppard, Opt. Lett. 18, 499 (1993).
9. Saturation ensures that beams of circular cross section are highly stable and can be steered in 3D, and their collisions lead to versatile devices, as shown by A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur, Opt. Lett. 16, 27 (1991); L. Poladian, A. W. Snyder, and D. J. Mitchell, Opt. Commun. 85, 59 (1991); and A. W. Snyder and A. P. Sheppard, Opt. Lett. 18, 499 (1993).
10. Saturation ensures that beams of circular cross section are highly stable and can be steered in 3D, and their collisions lead to versatile devices, as shown by A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur, Opt. Lett. 16, 27 (1991); L. Poladian, A. W. Snyder, and D. J. Mitchell, Opt. Commun. 85, 59 (1991); and A. W. Snyder and A. P. Sheppard, Opt. Lett. 18, 499 (1993).
11. 0.
12. 0 Im(q̇/q)/kΔ.
13. 0 = γP, where γ is a positive constant and P is the beam power. See A. W. Snyder, D. J. Mitchell, and A. Buryak, J. Opt. Soc. Am. B 13, 1146 (1996).
14. t) medium.
15. 0 Im(q̇/q) for self-consistency. This leads to Eq. (4) and hence to our general solution.
16. J. Arnaud, Beam and Fiber Optics (Academic, New York, 1976), p. 52.
17. A. Buryak, Optical Sciences Centre, Australian National University, Canberra, Australia (personal communication, August 5, 1996).