Generation and Shaping of Soliton-Like Pulses along Resonant Tunneling Diodes NMOS Varactors Lattice

ABSTRACT

The characteristics of N-type
accumulation-mode MOS (NMOS) varactors line periodically loaded with resonant
tunneling diodes (RTDs) are used for soliton-like pulses generation and
shaping. The problem of wide pulse breaking up into multiple pulses rather than
a single is solved. Applying perturbative analysis, we show that the dynamics
of the nonlinear transmission line (NLTL) is reduced to expanded Korteweg-de
Vries (KdV) equation. Moreover, numerical integration of nonlinear differential
and difference equations that result from the mathematical analysis of the line
is discussed. As results, NLTL can simultaneously sharpen both leading and
trailing of pulse edges and one could obtain a rising and sharpening step
pulse.

Cite this paper

Y. Klofaï and B. Essimbi, "Generation and Shaping of Soliton-Like Pulses along Resonant Tunneling Diodes NMOS Varactors Lattice,"*Journal of Modern Physics*, Vol. 4 No. 8, 2013, pp. 1099-1104. doi: 10.4236/jmp.2013.48147.

Y. Klofaï and B. Essimbi, "Generation and Shaping of Soliton-Like Pulses along Resonant Tunneling Diodes NMOS Varactors Lattice,"

References

[1] M. J. W. Rodwell, S. T. Allen, R. Y. Yu, M. G. Case, U. Bhattacharya, M. Reddy, E. Carman, M. Kamegawa, Y. Konishi, J. Pusl and R. Pullela, Proceedings of IEEE, Vol. 82, 1994, pp. 1037-1059. doi:10.1109/5.293161

[2] D. S. Ricketts and D. Ham, “Electrical Solitons: Theory, Design, and Applications,” 1st Edition, CRC Press, Boka Raton, 2010.

[3] I. V. Ryjenkova, V. K. Mezentsev, S. L. Musher, S. K. Turitsyn, R. Hu Hülsewede and D. Jaeger, Annals of telecommunications, Vol. 52, 1997, pp. 134-139.

[4] I. Jaeger, D. Kalinowski, A. Stohr, J. Stiens, R. Vounckx and D. Jager, Microwave and Optical Technology Letters, Vol. 49, 2007, pp. 2907-2909. doi:10.1002/mop.22902

[5] E. Afshari and A. Hajimiri, IEEE Journal of Solid-State Circuits, Vol. 40, 2005, pp. 744-752. doi:10.1109/JSSC.2005.843639

[6] E. Seok, D. Shim, C. Mao, R. Han, S. Sankaran, C. Cao, W. Knap and K. O. Kenneth, IEEE Journal of Solid-State Circuits, Vol. 45, No. 8, 2010, pp.1554-1564. doi:10.1109/JSSC.2010.2049793

[7] M. Asada, S. Suzuki and N. Kishimoto, Japanese Journal of Applied Physics, Vol. 47, 2008, pp. 4375-4384. doi:10.1143/JJAP.47.4375

[8] K. Narahara, “Nonlinear Waves in Transmission Lines Periodically Loaded with Tunneling Diodes,” In: A. Petrin, Ed., Wave Propagation in Materials for Modern Applications, INTECH, Croatia, 2010, pp. 437-454.

[9] B. Z. Essimbi and D. Jager, Physica Scripta, Vol. 81, 2010, Article ID: 035801. doi:10.1088/0031-8949/81/03/035801

[10] B. Z. Essimbi and D. Jager, Journal of Infrared, Millimeter and Terahertz Waves, Vol. 33, 2012, pp. 627-637. doi:10.1007/s10762-012-9895-9

[11] B. Z. Essimbi and D. Jager, Physica Scripta, Vol. 85, 2012, Article ID: 035801. doi:10.1088/0031-8949/85/03/035801

[1] M. J. W. Rodwell, S. T. Allen, R. Y. Yu, M. G. Case, U. Bhattacharya, M. Reddy, E. Carman, M. Kamegawa, Y. Konishi, J. Pusl and R. Pullela, Proceedings of IEEE, Vol. 82, 1994, pp. 1037-1059. doi:10.1109/5.293161

[2] D. S. Ricketts and D. Ham, “Electrical Solitons: Theory, Design, and Applications,” 1st Edition, CRC Press, Boka Raton, 2010.

[3] I. V. Ryjenkova, V. K. Mezentsev, S. L. Musher, S. K. Turitsyn, R. Hu Hülsewede and D. Jaeger, Annals of telecommunications, Vol. 52, 1997, pp. 134-139.

[4] I. Jaeger, D. Kalinowski, A. Stohr, J. Stiens, R. Vounckx and D. Jager, Microwave and Optical Technology Letters, Vol. 49, 2007, pp. 2907-2909. doi:10.1002/mop.22902

[5] E. Afshari and A. Hajimiri, IEEE Journal of Solid-State Circuits, Vol. 40, 2005, pp. 744-752. doi:10.1109/JSSC.2005.843639

[6] E. Seok, D. Shim, C. Mao, R. Han, S. Sankaran, C. Cao, W. Knap and K. O. Kenneth, IEEE Journal of Solid-State Circuits, Vol. 45, No. 8, 2010, pp.1554-1564. doi:10.1109/JSSC.2010.2049793

[7] M. Asada, S. Suzuki and N. Kishimoto, Japanese Journal of Applied Physics, Vol. 47, 2008, pp. 4375-4384. doi:10.1143/JJAP.47.4375

[8] K. Narahara, “Nonlinear Waves in Transmission Lines Periodically Loaded with Tunneling Diodes,” In: A. Petrin, Ed., Wave Propagation in Materials for Modern Applications, INTECH, Croatia, 2010, pp. 437-454.

[9] B. Z. Essimbi and D. Jager, Physica Scripta, Vol. 81, 2010, Article ID: 035801. doi:10.1088/0031-8949/81/03/035801

[10] B. Z. Essimbi and D. Jager, Journal of Infrared, Millimeter and Terahertz Waves, Vol. 33, 2012, pp. 627-637. doi:10.1007/s10762-012-9895-9

[11] B. Z. Essimbi and D. Jager, Physica Scripta, Vol. 85, 2012, Article ID: 035801. doi:10.1088/0031-8949/85/03/035801