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In this paper, the phenomenon of the asymmetric energy transmission is numerically investigated in the forbidden band of the electrical transmission line formed by two nonlinear segments which are identical in structure but different in inductor parameter. By considering the driving voltage at the frequency within the forbidden bands of both segments, the carrier of the asymmetric energy flux is the nonlinear wave beyond the band, instead of the linear wave in the passband, and the mechanism is closly related to the nonlinear supratransmission. To further understand this phenomenon in electrical transmission line, we also study the correlations between the energy intensity and the circuit parameters. Finally, we investigate the dependency of the voltage threshold on the driving frequency in physical experiment, and the result is qualitatively identical with that calculated by using equation.
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Keywords:
- energy /
- asymmetry /
- nonlinear transmission line /
- soliton
[1] Scalora M, Dowling J P, Bowden C M, Bloemer M J 1994 J. Appl. Phys. 76 2023
[2] [3] Tocci M D, Bloemer M J, Scalora M, Dowling J P 1995 Appl. Phys. Lett. 66 2324
[4] Song M H, Park B, Takanishi Y, Ishikawa K, Nishimura S, Toyooka T, Takezoe H 2006 Thin Solid Films 509 49
[5] [6] [7] Konotop V V, Kuzmiak V 2002 Phys. Rev. B 66 235208
[8] Hu B, Li B W, Zhao H 2000 Phys. Rev. E 61 3828
[9] [10] [11] Chang C W, Okawa D, Majumdar A, Zettl A 2006 Science 314 1121
[12] Hu B, Yang L, Zhang Y 2006 Phys. Rev. Lett. 97 124302
[13] [14] [15] Terraneo M, Peyrard M, Casati G 2002 Phys. Rev. Lett. 88 094302
[16] Li B W, Wang L, Casati G 2004 Phys. Rev. Lett. 93 184301
[17] [18] Li B W, Lan J H, Wang L 2005 Phys. Rev. Lett. 95 104302
[19] [20] Lan J H, Li B W 2006 Phys. Rev. B 74 214305
[21] [22] [23] Lan J H, Li B W 2007 Phys. Rev. B 75 214302
[24] Nesterenko V F, Daraio C, Herbold E B, Jin S 2005 Phys. Rev. Lett. 95 158702
[25] [26] [27] Liang B, Yuan B, Cheng J C 2009 Phys. Rev. Lett. 103 104301
[28] [29] Liang B, Guo X S, Tu J, Zhang D, Cheng J C 2010 Nature Mater. 9 989
[30] [31] Tao F, Chen W Z, Xu W, Pan J T, Du S D 2011 Phys. Rev. E, 83 056605
[32] Tao F, Chen W Z, Xu W, Du S D 2011 Chin. Phys. B 21 014101
[33] [34] [35] Koon K Tse Ve, Leon J, Marqui P, Tchofo-Dinda P 2007 Phys. Rev. E 75 066604
[36] Yang H, Tang L 2008 Chin. Phys. B 17 1674
[37] [38] [39] Fukushima K, Wadati M, Narahara Y 1980 J. Phys. Soc. Jpn. 49 1593
[40] Marqui P, Bilbault J M, Remoissenet M 1994 Phys. Rev. E 49 828
[41] [42] [43] Kuusela T 1995 Chaos, Solitons Fractals 5 2419
[44] Martin F, Oriols X 2001 Appl. Phys. Lett. 78 2802
[45] [46] [47] Dinkel J N, Setzer C, Rawal S, Lonnfren K E 2001 Chaos, Solitons Fractals 12 91
[48] Yamgou S B, Morfu S, Marqui P 2007 Phys. Rev. E 75 036211
[49] [50] [51] Yeml D, Marqui P, Bilbault J M 2003 Phys. Rev. E 68 016605
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[1] Scalora M, Dowling J P, Bowden C M, Bloemer M J 1994 J. Appl. Phys. 76 2023
[2] [3] Tocci M D, Bloemer M J, Scalora M, Dowling J P 1995 Appl. Phys. Lett. 66 2324
[4] Song M H, Park B, Takanishi Y, Ishikawa K, Nishimura S, Toyooka T, Takezoe H 2006 Thin Solid Films 509 49
[5] [6] [7] Konotop V V, Kuzmiak V 2002 Phys. Rev. B 66 235208
[8] Hu B, Li B W, Zhao H 2000 Phys. Rev. E 61 3828
[9] [10] [11] Chang C W, Okawa D, Majumdar A, Zettl A 2006 Science 314 1121
[12] Hu B, Yang L, Zhang Y 2006 Phys. Rev. Lett. 97 124302
[13] [14] [15] Terraneo M, Peyrard M, Casati G 2002 Phys. Rev. Lett. 88 094302
[16] Li B W, Wang L, Casati G 2004 Phys. Rev. Lett. 93 184301
[17] [18] Li B W, Lan J H, Wang L 2005 Phys. Rev. Lett. 95 104302
[19] [20] Lan J H, Li B W 2006 Phys. Rev. B 74 214305
[21] [22] [23] Lan J H, Li B W 2007 Phys. Rev. B 75 214302
[24] Nesterenko V F, Daraio C, Herbold E B, Jin S 2005 Phys. Rev. Lett. 95 158702
[25] [26] [27] Liang B, Yuan B, Cheng J C 2009 Phys. Rev. Lett. 103 104301
[28] [29] Liang B, Guo X S, Tu J, Zhang D, Cheng J C 2010 Nature Mater. 9 989
[30] [31] Tao F, Chen W Z, Xu W, Pan J T, Du S D 2011 Phys. Rev. E, 83 056605
[32] Tao F, Chen W Z, Xu W, Du S D 2011 Chin. Phys. B 21 014101
[33] [34] [35] Koon K Tse Ve, Leon J, Marqui P, Tchofo-Dinda P 2007 Phys. Rev. E 75 066604
[36] Yang H, Tang L 2008 Chin. Phys. B 17 1674
[37] [38] [39] Fukushima K, Wadati M, Narahara Y 1980 J. Phys. Soc. Jpn. 49 1593
[40] Marqui P, Bilbault J M, Remoissenet M 1994 Phys. Rev. E 49 828
[41] [42] [43] Kuusela T 1995 Chaos, Solitons Fractals 5 2419
[44] Martin F, Oriols X 2001 Appl. Phys. Lett. 78 2802
[45] [46] [47] Dinkel J N, Setzer C, Rawal S, Lonnfren K E 2001 Chaos, Solitons Fractals 12 91
[48] Yamgou S B, Morfu S, Marqui P 2007 Phys. Rev. E 75 036211
[49] [50] [51] Yeml D, Marqui P, Bilbault J M 2003 Phys. Rev. E 68 016605
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