Vol. 21
Latest Volume
All Volumes
PIERC 150 [2024] PIERC 149 [2024] PIERC 148 [2024] PIERC 147 [2024] PIERC 146 [2024] PIERC 145 [2024] PIERC 144 [2024] PIERC 143 [2024] PIERC 142 [2024] PIERC 141 [2024] PIERC 140 [2024] PIERC 139 [2024] PIERC 138 [2023] PIERC 137 [2023] PIERC 136 [2023] PIERC 135 [2023] PIERC 134 [2023] PIERC 133 [2023] PIERC 132 [2023] PIERC 131 [2023] PIERC 130 [2023] PIERC 129 [2023] PIERC 128 [2023] PIERC 127 [2022] PIERC 126 [2022] PIERC 125 [2022] PIERC 124 [2022] PIERC 123 [2022] PIERC 122 [2022] PIERC 121 [2022] PIERC 120 [2022] PIERC 119 [2022] PIERC 118 [2022] PIERC 117 [2021] PIERC 116 [2021] PIERC 115 [2021] PIERC 114 [2021] PIERC 113 [2021] PIERC 112 [2021] PIERC 111 [2021] PIERC 110 [2021] PIERC 109 [2021] PIERC 108 [2021] PIERC 107 [2021] PIERC 106 [2020] PIERC 105 [2020] PIERC 104 [2020] PIERC 103 [2020] PIERC 102 [2020] PIERC 101 [2020] PIERC 100 [2020] PIERC 99 [2020] PIERC 98 [2020] PIERC 97 [2019] PIERC 96 [2019] PIERC 95 [2019] PIERC 94 [2019] PIERC 93 [2019] PIERC 92 [2019] PIERC 91 [2019] PIERC 90 [2019] PIERC 89 [2019] PIERC 88 [2018] PIERC 87 [2018] PIERC 86 [2018] PIERC 85 [2018] PIERC 84 [2018] PIERC 83 [2018] PIERC 82 [2018] PIERC 81 [2018] PIERC 80 [2018] PIERC 79 [2017] PIERC 78 [2017] PIERC 77 [2017] PIERC 76 [2017] PIERC 75 [2017] PIERC 74 [2017] PIERC 73 [2017] PIERC 72 [2017] PIERC 71 [2017] PIERC 70 [2016] PIERC 69 [2016] PIERC 68 [2016] PIERC 67 [2016] PIERC 66 [2016] PIERC 65 [2016] PIERC 64 [2016] PIERC 63 [2016] PIERC 62 [2016] PIERC 61 [2016] PIERC 60 [2015] PIERC 59 [2015] PIERC 58 [2015] PIERC 57 [2015] PIERC 56 [2015] PIERC 55 [2014] PIERC 54 [2014] PIERC 53 [2014] PIERC 52 [2014] PIERC 51 [2014] PIERC 50 [2014] PIERC 49 [2014] PIERC 48 [2014] PIERC 47 [2014] PIERC 46 [2014] PIERC 45 [2013] PIERC 44 [2013] PIERC 43 [2013] PIERC 42 [2013] PIERC 41 [2013] PIERC 40 [2013] PIERC 39 [2013] PIERC 38 [2013] PIERC 37 [2013] PIERC 36 [2013] PIERC 35 [2013] PIERC 34 [2013] PIERC 33 [2012] PIERC 32 [2012] PIERC 31 [2012] PIERC 30 [2012] PIERC 29 [2012] PIERC 28 [2012] PIERC 27 [2012] PIERC 26 [2012] PIERC 25 [2012] PIERC 24 [2011] PIERC 23 [2011] PIERC 22 [2011] PIERC 21 [2011] PIERC 20 [2011] PIERC 19 [2011] PIERC 18 [2011] PIERC 17 [2010] PIERC 16 [2010] PIERC 15 [2010] PIERC 14 [2010] PIERC 13 [2010] PIERC 12 [2010] PIERC 11 [2009] PIERC 10 [2009] PIERC 9 [2009] PIERC 8 [2009] PIERC 7 [2009] PIERC 6 [2009] PIERC 5 [2008] PIERC 4 [2008] PIERC 3 [2008] PIERC 2 [2008] PIERC 1 [2008]
2011-04-01
Collision of Nonlinear Envelope Pulses Developed in Composite Right- and Left-Handed Transmission Lines Periodically Loaded with Schottky Varactors
By
Progress In Electromagnetics Research C, Vol. 21, 1-12, 2011
Abstract
We investigate numerically the collision of nonlinear envelope pulses in composite right- and left-handed transmission lines with regularly spaced Schottky varactors. Because of the nonlinearity caused by the Schottky varactors, the dispersive distortion of envelope pulses is well compensated. We find that when two nonlinear envelope pulses traveling in the opposite directions collide, two envelope pulses are newly developed. The carrier wave frequency of the newly developed pulse is the harmonic of the colliding pulses that satisfies the phase-matching condition.
Citation
Koichi Narahara, "Collision of Nonlinear Envelope Pulses Developed in Composite Right- and Left-Handed Transmission Lines Periodically Loaded with Schottky Varactors," Progress In Electromagnetics Research C, Vol. 21, 1-12, 2011.
doi:10.2528/PIERC11031002
References

1. Hirota, R. and K. Suzuki, "Studies on lattice solitons by using electrical networks," J. Phys. Soc. Jpn., Vol. 28, 1366-1367, 1970.
doi:10.1143/JPSJ.28.1366

2. Rodwell, M. J. W., S. T. Allen, R. Y. Yu, M. G. Case, U. Bhattacharya, M. Reddy, E. Carman, M. Kamegawa, Y. Konishi, J. Pusl, and R. Pullela, "Active and nonlinear wave propagation devices in ultrafast electronics and optoelectronics," Proc. IEEE, Vol. 82, 1037-1059, 1994.
doi:10.1109/5.293161

3. Narahara, K., "Interaction of nonlinear pulses developed in coupled transmission lines regularly spaced Schottky varactors," Progress In Electromagnetics Research Letters, Vol. 17, 85-93, 2010.
doi:10.2528/PIERL10072611

4. Caloz, C. and T. Itoh, Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications, Wiley, 2006.

5. Monti, G. and L. Tarricone, "Signal reshaping in a transmission line with negative group velocity behaviour," Microwave Optical Technol. Lett., Vol. 51, 2627-2633, 2009.
doi:10.1002/mop.24688

6. Chi, P. and T. Itoh, "Dispersion engineering with CRLH metamaterials," Proc. IEEE International Symposium on Radio-Frequency Integration Technology, 128-131, 2009.

7. Gómez-Diaz, J. S., S. Gupta, A. Álvarez-Melcón, and C. Caloz, "Investigation on the phenomenology of impulse-regime metamaterial transmission lines," IEEE Trans. Antennas and Propagat., Vol. 57, 4010-4014, 2009.
doi:10.1109/TAP.2009.2025400

8. Kozyrev, A. B. and D. W. Van Der Weide, "Nonlinear wave propagation phenomena in left-handed transmission-line media," IEEE Trans. Microwave Theory and Techniques, Vol. 53, 238-245, 2005.
doi:10.1109/TMTT.2004.839305

9. Gupta, S. and C. Caloz, "Dark and bright solitons in left-handed nonlinear transmission line metamaterials," Proc. of IEEE MTT-S Int. Microwave Symp. 2007, 979-982, Honolulu, 2007.

10. Kafaratzis, A. and Z. Hu, "Envelope solitons in nonlinear left handed transmission lines," Proceedings of Metamaterials 2007, 771-773, 22-24, Rome, 2007.

11. Simion, S., R. Marcelli, G. Bartolucci, G. Sajin, and F. Craciunoiu, "Nonlinear composite right/left-handed transmission line for frequency doubler and short pulse generation," Proc. of Metamaterials 2008, 492-494, 2008.

12. Gharakhili, F. G., M. Shahabadi, and M. Hakkak, "Bright and dark soliton generation in a left-handed nonlinear transmission line with series nonlinear capacitors," Progress In Electromagnetics Research, Vol. 96, 237-249, 2009.
doi:10.2528/PIER09080106

13. Ogasawara, J. and K. Narahara, "Short envelope pulse propagation in composite right- and left-handed transmission lines with regularly spaced Schottky varactors," IEICE Electron. Express, Vol. 6, 1576-1581, 2009.
doi:10.1587/elex.6.1576

14. Taniuti, T., "Reductive perturbation method and far fields of wave equations," Prog. Theor. Phys. Suppl., Vol. 55, 1-55, 1974.

15. Boyd, R. W., Nonlinear Optics, Academic Press, 2002.