Optical spatial solitons, the power law, and the swing effect

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 7056, Issue , 2008, Pages

  Crutcher, Sihon H ^a   Osei, Albert J ^b   Edwards, Matthew E ^c  

^a U S ARMY   (United States)

^b OAKWOOD UNIVERSITY   (United States)

^c ALABAMA A AND M UNIVERSITY   (United States)

Author keywords

Equivalent particle theory; Generalized Nonlinear Schr dinger Equation; Non Kerr; Nonlinear Schr dinger Equation; Optical spatial soliton; Swing effect

Indexed keywords

OPTICAL KERR EFFECT; OPTICAL PROPERTIES; POWDERS; SEMICONDUCTING FILMS; SEMICONDUCTOR MATERIALS; SOLITONS;

DINGER EQUATIONS; EQUIVALENT PARTICLE THEORY; NON-KERR; NUMERICAL SIMULATIONS; ONE STEPS; OPTICAL SPATIAL SOLITON; OPTICAL SPATIAL SOLITONS; POWER LAWS; SPATIAL FREQUENCIES; SPATIAL SOLITONS; SWING EFFECT; SWING EFFECTS;

NONLINEAR EQUATIONS;

EID: 55549126480     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.792007     Document Type: Conference Paper

References (29)

1. F. Garzia, C. Sibilia, M. Bertolotti, "Swing effect of spatial soliton" Optics Communications vol.139 (1997) p193-198.
2. A. Suryanto, "Optical waves in inhomogeneous Kerr media beyond paraxial approximation" (Ph.D Thesis University of Twente), September 2003. pp 64-79
3. M. E. Edwards, S. H. Crutcher, M. D. Aggarwal, A. K. Batra, H. M. Jaenisch, A. J. Osei, and S. R. Bairavarasu, "Optical Solitons in Inhomogeneous Media" SPIE Proceedings, vol. 5525 August (2004) p 163-171
4. Sihon Crutcher, Matthew Edwards, Anjan Biswas, M. D. Aggarwal, "Quasi-stationary power law temporal solitons in optical fiber and the swing effect of spatial solitons in two-dimensional devices " SPIE Proceedings vol. 5876 August (2005)
5. A.B. Aceves, J. V. Moloney, A.C. Newell, "Theory of light beam propagation at nonlinear interfaces I Equivalent-Particle Theory for a single interface" Physical Review A. vol. 39 no. 4 .,July (1980) p.225-230.
6. P. P. Banerjee, R. M. Misra, and M. Maghraoui, "Theoretical and experimental Studies of propagation of beams through a finite sample of a cubically nonlinear material" Journal of the Optical Society of America B ., vol. 8, issue 5, May (1991) p.1072-1080.
7. Ali Hasan Nayfeh, "Introduction to Perturbation Techniques" pub. John Wiley & Sons (1981).
8. J. Kevorkian J. D. Cole, "Multple Scale and Singular Perturbation Methods" pub. Springer-Verlag (1996)
9. Yuri S Kivshar and Govind P. Agrawal, "Optical Solitons From Fibers to Photonic Crystals" pub. Academic Press (2003). p.31-60
10. Anjan Biswas "Quasi-stationary optical solitons with power law nonlinearity" J Phys. A: Math. Gen, vol. 36 (2003) p.4581-4589.
11. A. Suryanto, E. Van Groesen "Break up of bound-N-spatial-soliton in a ramp waveguide" Optical and Quantum Electronics, vol. 34, (2002) p.597-606.
12. A. Suryanto, E. Van Groesen, "Self-Splitting of multisoliton bound states in planar Kerr waveguides" Optical Communications vol. 258 (2006) p. 264-274.
13. Murry R. Spiegel, "Schaum's Outlines: Mathematical Handbook of Formulas and Tables". Second edition pub. McGrall Hill (1999).p.102
14. J. S. Aitchison, A.M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M Vogel, P. W. E. Smith "Observation of spatial optical solitons in a nonlinear glass waveguide" Optics Letters, vol. 15 no. 9 .,May 1, (1990) p.471-473.
15. R. Barille, G. Rivoire, "Spatial solitons in nonlinear liquid wavequides" Pramana-Journal of physics. vol. 57 no. 5&6 Nov & Dec 2001 pp1139-1161.
16. A. Biswas, S. Konar "Introduction to non-Kerr Law Opitcal Solitons"pub. Chapman & Hall (2007) p.57-62
17. George I. Stegeman, Ladislav Jankovic, Hongki Kim, Sergey Polyakov Silvia Carrasco, Lluis Torner, Christian Bosshard, Peter Gunter, Mordechai Katz, and David Eger, "Generation of and Interactions Between quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals" Journal Of Nonlinear Optical Physics & Materials vol. 12 no 4 (2003) pp447-466 .
18. S. Trillo, W. Torruellas, "Optical Spatial Solitons", Springer Series in Optical Sciences (2001).
19. A.W. Snyder, D. J. Mitchell, "Spatial Solitons of power law nonlinearity" Optic Letters, vol 18, no. 2., (January 1993) p.101-103.
20. D. Mihalacke, M. Bertolotti, and C. Sibilia, "Progress in Optics XXVII," E. Wolf, ed. (Elsevier, Amsterdam, 1989), p. 228-309.
21. 3" Applied PhysicsLetters, vol. 9 no. 1 .,July 1, (1966) p.72-74.
22. Ivan P. Kaminow, "Polarization in Optical Fibers" IEEE Journal of Quantum Electronics, vol. QE-17, no. 1 .,January (1981) p.15-22.
23. M. K. Moravvej-Farshi, M. Ebnali Heidari, A. Zarifkar, "Spatial Solitons in Compound Ramp Waveguides" Advanced Optoelectronics and Lasers, Proceedings of CAOL September12-17 2005. Second International Conference p. 160-163.
24. J. S. Aitchison, Y. Silberberg, A. M Weiner, D. E. Leaird, M. K. Oliver, J. L. Jackel, E. M. Volge, and P. W. E. Smith, "Spatial Optical solitons in planar glass waveguides" J. Opt Soc. Am B vol. 8 no. 6 June 1991 pp.1290-1297
25. R. Y. Chiao, E. Garmire, and C. H. Townes, "Self Trapping of Optical Beams" Physics Review Letter vol. 13 (1964) p 479
26. A. Barthelemy, S. Maneuf, and G. Froehly, "Soliton propagation and self-trapping of laser beams by a Kerr optical nonlinearity" Optical Communications vol. 55 (1985) p 201
27. N.N. Akhmediev, A. Ankiewicz, "Solitons Nonlinear Pulses and Beams", pub. Chapman and Hall, UK, 1999
28. N.N. Akhmediev, "Spatial solitons in Kerr and Kerr-like media", Optical and Quantum Electronics vol. 30 (1998) 535-569.
29. L. W. Dong, H. Wang, "Oscillatory Behavior of spatial soliton in a gradient refractive index waveguide with nonlocal nonlinearity", Applied Physics B: Lasers and Optics 84 (2006) 465-469.