Bright and dark soliton generation in a left-handed nonlinear transmission line with series nonlinear capacitors

Progress in Electromagnetics Research

Volumn 96, Issue , 2009, Pages 237-249

  Gharakhili, F G ^a   Shahabadi, M ^b   Hakkak, M ^a  

^a TARBIAT MODARES UNIVERSITY   (Iran)

^b UNIVERSITY OF TEHRAN   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

CAPACITANCE; ELECTRIC LINES; SOLITONS; VARACTORS;

COMPOSITE RIGHT-LEFT HANDED; DARK SOLITONS; GROUP VELOCITIES; LEFT-HANDED NONLINEAR TRANSMISSION LINES; NONLINEAR CAPACITANCE; NONLINEAR CAPACITOR; SPATIAL DERIVATIVES; VOLTAGE DISTRIBUTION;

NONLINEAR EQUATIONS;

EID: 70350142665     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER09080106     Document Type: Article

References (25)

1. Eleftheriades, G. V. and K. G. Balmain, Negative-refraction Metamaterials; Fundamental Principles and Applications, Wiley Interscience, New York, 2005.
2. Caloz, C., Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications, Wiley Interscience, New York, 2006.
3. Ran, L.-X., J. T. Huangfu, H. Chen, X.-M. Zhang, K.-S. Cheng, T. M. Grzegorczyk, and J. A. Kong, Experimental study on several left-handed metamaterials, Progress In Electromagnetics Research, PIER 51, 249-279, 2005.
4. Wang, J., S. Qu, J. Zhang, H. Ma, Y. Yang, C. Gu, X. Wu, and Z. Xu, A tunable left-handed metamaterial based on modified broadside-coupled split-ring resonators, Progress In Electromagnetics Research Letters, Vol. 6, 35-45, 2009.
5. He, J., B.-Z. Wang, and K.-H. Zhang, Wideband differential phase shifter using modified composite right/left handed transmission line, Journal of Electromagnetic Waves and Applications, Vol. 22, No. 10, 1389-1394, 2008.
6. Wang, W., C. Liu, L. Yan, and K. Huang, A novel power divider based on dual-composite right/left handed transmission line, Journal of Electromagnetic Waves and Applications, Vol. 23, Nos. 8-9, 1173-1180, 2009.
7. Veselago, V. G., The electrodynamics of substances with simultaneously negative values of ε and μ, Sov. Phys. Usp., Vol. 10, 509-514, February 1968.
8. Tang, W. X., H. Zhao, X. Zhou, J. Y. Chin, and T.-J. Cui, Negative index material composed of meander line and srrs, Progress In Electromagnetics Research B, Vol. 8, 103-114, 2008.
9. Smith, D., W. Padilla, D. Vier, S. Nemat-Nasser, and S. Schultz, Composite medium with simultaneously negative permeability and permittivity, Phys. Rev. Lett., Vol. 84, 4184, 2000.
10. Caloz, C., H. Okabe, T. Iwai, and T. Itoh, Transmission line approach of left-handed (LH) materials, USNC/URSI Nat. Radio Science Meeting, Vol. 1, June 2002.
11. Eleftheriades, G. V., A. K. Iyer, and P. C. Kremer, Planar negative refractive index media using periodically L-C loaded transmission lines, IEEE Trans. on Micr. Theory and Tech., Vol. 50, No. 12, 2702-2712, December 2002.
12. Caloz, C., I.-H. Lin, and T. Itoh, Characteristics and potential applications of nonlinear left-handed transmission line, Microw. and Opt. Tech. Lett., Vol. 40, No. 6, 471-473, March 2004.
13. Gupta, S. and C. Caloz, Dark and bright solitons in left-handed nonlinear transmission line metamaterials, IEEE MTT-S Int. Micro. Symp., 979-982, 2007.
14. Narahara, K., T. Nakamichi, T. Suemitsu, T. Otsuji, and E. Sano, Development of solitons in composite rigth- and left-handed transmission lines periodically loaded with schottky varactors, Journal of Appl. Phys., Vol. 102, 024501-024504, 2007.
15. Taniuti, T. and N. Yajima, Perturbation method for a nonlinear wave modulation, II, J. Math. Phys., Vol. 10, 2020-2024, 1968.
16. Alexander, B. K. and D. W. Van Der Weide, Trains of envelope solitons in nonlinear left-handed transmission line media, Appl. Phys. Lett., Vol. 91, 254111-254113, 2007.
17. Kozyrev, A. B. and D. W. Van Der Weide, Nonlinear left-handed transmission line metamaterials, J. Phys. D: Appl. Phys., Vol. 41, 173001-173010, August 2008.
18. Arévalo, E., Solitons in anharmonic chains with negative roup velocity, Physical Review E, Vol. 76, 066602-066605, December 2007.
19. Agarwal, G. P., Nonlinear Fiber Optics, Academic Press, 2005.
20. Gangwar, R., S. P. Singh, and N. Singh, Soliton based optical communication, Progress In Electromagnetics Research, PIER 74, 157-166, 2007.
21. Biswas, A., D. Milovic, F. Majid, and R. Kohl, Optical soliton cooling in a saturable law media, Journal of Electromagnetic Waves and Applications, Vol. 22, No. 13, 1735-1746, 2008.
22. Nejoh, Y., Envelope soliton of the electron plasma wave in a nonlinear transmission line, Physica Scripta, Vol. 31, 415-418, 1985.
23. Nejoh, Y., Cusp solitons, shock waves and envelope solitons in a new non-linear transmission line, J. Phys. A: Math. Gen., Vol. 20, 1733-1741, 1987.
24. Marquie, P., J. M. Bilbault, and M. Remoissenet, Generation of envelope and hole solitons in a exprimental transmission line, Phys. Rev., Vol. 49, No. 1, 828-835, January 1994.
25. Hasegawa, A. and M. Matsumoto, Optical Solitons in Fibers, 3rd edition, Springer, 2003.