Soliton parameter dynamics in a non-kerr law media

Progress In Electromagnetics Research C

Volumn 1, Issue , 2008, Pages 1-35

  Biswas, A ^a   Kohl, R ^a   Edwards, M E ^b   Zerrad, E ^a  

^a DELAWARE STATE UNIVERSITY   (United States)

^b ALABAMA A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; PERTURBATION TECHNIQUES;

ADIABATIC DYNAMICS; ADIABATIC PARAMETER DYNAMICS; DUAL-POWER LAWS; KERR LAW NONLINEARITY; NEW CONSERVED QUANTITY; OPTICAL SOLITON; SOLITON PARAMETERS; SOLITON PERTURBATION THEORY;

SOLITONS;

EID: 70349365735     PISSN: 19378718     EISSN: 15309681     Source Type: Journal    
DOI: 10.2528/PIERC07121707     Document Type: Article

References (45)

1. Ablowitz, M. J. and H. Segur, Solitons and Inverse Scattering Transform, SIAM, Philadelphia, PA, USA, 1981.
2. Akhmediev, N. N. and A. Ankiewicz, Solitons Nonlinear Pulses and Beams, Chapman and Hall,UK,1997.
3. Akhmediev,N. N.,A. Ankiewicz,and R. Grimshaw, “Hamiltonian-versus-energy diagrams in soliton theory,” Physical Review E,Vol. 59,No. 5,6088–6096,1999.
4. Biswas, A. and S. Konar, Introduction to Non-Kerr Law Optical Solitons, CRC Press,Boca Raton,FL,2006.
5. Biswas, A.,“A new conserved quantity for non-Kerr law optical solitons,” Submitted.
6. Chu, S. T. and S. K. Chaudhuri,“Finite-difference time-domain method for optical waveguide analysis,” Progress In Electromagnetics Research,PIER 11,255–300,1995.
7. Gangwar, G., S. P. Singh, and N. Singh,“Soliton based optical communication,” Progress In Electromagnetics Research, PIER 74,157–166,2007.
8. Ghafoori-Farad, H. and M. J. Moghimi,“Linear and nonlinear superimposed Bragg grating: A novel proposal for all optical multi-wavelength filtering and switching,” Progress In Electromagnetics Research, PIER 77,243–266,2007.
9. Hasegawa,A. and F. D. Tappert,“Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers I. Anomalous dispersion,” Applied Physics Letters,Vol. 23,142–144,1973.
10. Hasegawa,A. and F. D. Tappert,“Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers II. Normal dispersion,” Applied Physics Letters,Vol. 23,142–144,1973.
11. Hasegawa, A. and Y. Kodama, Solitons in Optical Communications, Oxford University Press,UK,1995.
12. Ikuno, H., S. Mori, and A. Yata, “Uniform asymptotic analysis of guided modes of graded-index optical fibers with even polynomial profile center cores,” Progress In Electromagnetics Research, Vol. 13,169–241,1996.
13. Jana, S. and S. Konar,“Stable and quasi-stable spatio-temporal solitons in cubic quintic nonlinear media,” Journal of Nonlinear Optical Physics and Materials,Vol. 13,No. 1,25–36,2004.
14. Jana,S. and S. Konar,“Tunable spectral switching in the far field with a chirped cosh-Gaussian pulse,” Optics Communications, Vol. 267,No. 1,24–31,2006.
15. Jana,S. and S. Konar,“A new family of Thirring type optical spatial solitons via electromagnetically induced transparency,” Physics Letters A,Vol. 362,No. 5–6,435–438,2007.
16. Jovanoski,Z. and D. R. Rowland,“Variational analysis of solitary waves in a homogenous cubic-quintic nonlinear medium,” Journal of Modern Optics,Vol. 48,No. 7,1179–1193,2001.
17. Kath, W. L.,“A modified conservation law for the phase of the nonlinear Schrödinger soliton,” Methods and Applications of Analysis,Vol. 4,No. 2,141–155,1997.
18. Kivshar, Y. S. and B. A. Malomed,“Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phy.,Vol. 61,763–915,1989.
19. Konar,S. and S. Jana,“Linear and nonlinear propagation of sinh-Gaussian pulses in dispersive media possessing Kerr nonlinearity,” Optics Communications,Vol. 236,No. 1–3,7–20,2004.
20. Konar, S. and M. Mishra,“Effect of higher order nonlinearities on induced focussing and on the conversion of circular Gaussian laser beams into elliptic Gaussian laser beams,” Journal of Optics A,Vol. 7,No. 10,576–584,2005.
21. Konar,S.,S. Jana,and M. Mishra,“Induced focusing on all optical switching in cubic quintic nonlinear media,” Optics Communications,Vol. 255,No. 1–3,114–129,2005.
22. 01 modes of a laser beam in a cubic quintic medium,” Physica Scripta,Vol. 71,No. 11,198–203,2005.
23. Konar,S.,M. Mishra,and S. Jana,“Nonlinear evolution of cosh-Gaussian laser beams and generation of flat top spatial solitons in cubic quintic nonlinear media,” Physics Letters A,Vol. 362, No. 5–6,505–510,2007.
24. Kuila, P., A. Sinha, H. Bhowmik, and S. Mukhopadhyay, “Theoretical study of using an amplitude modulation scheme with an electro-optic modulator for generation of the proper power shape function of an optical soliton pulse in a nonlinear waveguide,” Optical Engineering,Vol. 45,No. 4,045002,2006.
25. Kumar, D., P. K. Choudhury, and O. N. Singh II,“Towards the dispersion relations for dielectric optical fibers with helical windings under slow- and fast-wave considerations — A comparitive analysis,” Progress In Electromagnetics Research, PIER 80,409–420,2008.
26. Little, B. E. and W. P. Huang,“Coupled-modetheory for optical waveguides,” Progress In Electromagnetics Research,PIER 10, 217–270,1995.
27. Mandal, P. and S. Mukhopadhyay,“Method of conducting an all-optical NAND logic operation controlled from a long distance,” Optical Engineering,Vol. 46,No. 3,035009,2007.
28. Mishra, M. and S. Konar,“High bit rate dense dispersion managed optical communication systems with distributed amplification,” Progress In Electromagnetics Research,PIER 78,301–320,2008.
29. Mollenauer, L. F. and J. P. Gordon, Solitons in Optical Fibers, Elsevier Academic Press,2006.
30. Narayanasamy,G.,“Bright and dark solitary wave solution for higher order cubic NLS equation with cubic and quintic effects,” International Journal on Wireless and Optical Communications, Vol. 3,No. 1,119–126,2006.
31. Panajotovic, A., D. Milovic, and A. Biswas,“Influence of even order dispersion on soliton transmission quality with coherent interference,” Progress In Electromagnetics Research B,Vol. 3, 63–72,2008.
32. Pandey, P. C., A. Mishra, and S. P. Ojha,“Modal dispersion characterestics of a single mode dielectric waveguide with a guiding region cross-section bounded by two involuted spirals,” Progress In Electromagnetics Research,PIER 73,1–13,2007.
33. Rahman, B. M. A.,“Finite element analysis of optical waveguides,” Progress In Electromagnetics Research,PIER 10, 187–216,1995.
34. Rostami, A. and A. Andalib,“A principal investigation of the group velocity dispersion (GVD) profile for optimum dispersion compensation in optical fibers: A theoretical study,” Progress In Electromagnetics Research,PIER 75,209–224,2007.
35. Roy, S. and S. Bhadra,“Study of pulse evolution and optical bistability under the influence of cubic-quintic nonlinearity and third order dispersion,” Journal of Nonlinear Optical Physics and Materials,Vol. 16,No. 1,119–135,2007.
36. Shahoei, H., H. Ghafoori-Fard, and A. Rostami,“A novel design methodology of multiclad singlemode optical fiber for broadband optical networks,” Progress In Electromagnetics Research,PIER 80,253–275,2008.
37. Sharma, A.,“Collocation method for wave propagation through optical waveguiding structures,” Progress In Electromagnetics Research, PIER 11,143–198,1995.
38. Shwetanshumala, S. Jana, and S. Konar,“Propagation of a mixture of modes of a laser beam in a medium with saturable nonlinearity,” Journal of Electromagnetic Waves and Applications,Vol. 20,No. 1,65–77,2006.
39. Singh, S. P. and N. Singh,“Nonlinear effects in optical fibers: Origin,management and applications,” Progress In Electromagnetics Research,PIER 73,249–275,2007.
40. Singh, S. P., R. Gangwar, and N. Singh,“Nonlinear scattering effects in optical fibers,” Progress In Electromagnetics Research, PIER 74,379–405,2007.
41. Stern, M. S.,“Finite difference analysis of planar optical waveguides,” Progress In Electromagnetics Research, PIER 10, 123–186,1995.
42. Singh, V., S. N. Maurya, B. Prasad, and S. P. Ojha,“Conducting sheath helical winding on the core-cladding interface of a lightguide having a Piet Hein super elliptical core cross-section and a standard optical fiber of circular cross-section — A comparitive modal analysis,” Progress In Electromagnetics Research,PIER 59, 231–249,2006.
43. Wabnitz,S.,Y. Kodama,and A. B. Aceves,“Control of optical soliton interactions,” Optical Fiber Technology,Vol. 1,187–217, 1995.
44. Zakharov,V. E. and E. A. Kuznetsov,“Optical solitons and quasisolitons,” Journal of Experimental and Theoretical Physics, Vol. 86,No. 5,1035–1046,1998.
45. Zhidkov, P. E., Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory, Springer Verlag, 2001.