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Resonant tunneling of light through double-well structure is investigated by the R-matrix algorithm. We find that the resonant frequency can be controlled by the coupling strength between the two wells. The transmission probability shows the 2-fold peak-splitting in a symmetric double-well system, and the distortion of the resonance peak-splitting in an asymmetric double-well system. The distortion of the resonance peak-splitting by alternately placing Right-hand and Left-hend materials in the two wells is different from that resulted from the asymmetry of well-width. Moreover the distortion of the resonance peak-splitting is analyzed by means of the one-dimensional photonic QW system. The former can be understood by the destructive interference, which may lead to the complete cancellation of resonant mode, while the latter is due to the relative sifts of eigenmodes in the two wells.
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Keywords:
- photonic crystal /
- double quantum well /
- R-matrix /
- left-hand media
[1] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[2] John S 1987 Phys. Rev. Lett. 58 2486
[3] Joannopoulos J D, Meade R D, Winn J N 1995 Photonic Crystals (Princeton University Press, Princeton)
[4] Soukoulis C M 1996 Photonic Band Gap Materials (Kluwer, Dordrecht)
[5] Zhang Z, Satpathy S 1990 Phys. Rev. Lett. 65 2650
[6] Robertson W M, Arjavalingam G A, Meade R D, Brommer K D, Rappe A M, Joannopoulos J D 1992 Phys. Rev. Lett. 68 2023
[7] Li Z Y, Gu B Y, Yang G Z 1998 Phys. Rev. Lett. 81 2574
[8] Liu S Y, Lin Z F 2006 Phys. Rev. E 73 066609
[9] Sun S L, Huang X Q, Zhou L 2007 Phys. Rev. E 75 066602
[10] Zentgraf T 2006 Phys. Rev. B 73 115103
[11] Joannopoulos J D, Villeneuve P R, Fan S 1997 Photonic Crystals: Putting a New Twist on Light, Nature (London) 386 143
[12] Ho K M, Chan C T, Soukoulis C M 1990 Phys. Rev. Lett. 65 3152
[13] Yablonovitch E, Gmitter T J, Leung K M 1991 Phys. Rev. Lett. 67 2295
[14] Winn J N, Fink Y, Fan S, Joannopoulos J D 1998 Opt. Lett. 23 1573
[15] Fink Y, Winn J N, Fan S, Chen C, Michel J, Joannopoulos J D, Thomas E L 1998 Science 282 1679
[16] Li Z F, Lin L L, Gu B Y, Yang G Z 2000 Physic B 279 159
[17] Li Z Y, Gu B Y, Yang G Z 1999 Eur. Phys. J. B 11 65
[18] Wang X H, Gu B Y, Li Z Y, Yang G Z 1999 Phys. Rev. B 60 11417
[19] Veselago V C 1968 Sov. Phys. Usp. 10 509
[20] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. Lett. 84 4184
[21] Li J, Zhou L, Chan C T, Sheng P 2003 Phys. Rev. Lett. 90 083901
[22] Shadrivov I V, Sukhorukov A A, Kivshar Y S 2005 Phys. Rev. Lett. 95 193903
[23] Leung K M, Liu Y F 1990 Phys. Rev. Lett. 65 2646
[24] Economou E N, Zdetsis A 1989 Phys. Rev. B 40 1334
[25] Satpathy S, Zhang Z, Salehpour M R 1990 Phys. Rev. Lett. 64 1239
[26] Pendry J B 1994 J. Mod. Opt. 41 209
[27] Bell P M, Pendry J B, Marin Moreno L, Ward A J 1995 Comput. Phys. Commun. 85 306
[28] Li Z Y, Lin L L 2003 Phys. Rev. E 67 046607
[29] Lin L L, Li Z Y, Ho K M 2003 J. Appl. Phys. 94 811
[30] Chan C T, Yu Q L, Ho K M 1995 Phys. Rev. B 51 16635
[31] Taflove A, Hagness S C 2000 Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Norwood, MA)
[32] Fan S, Villeneuve P R, Joannopoulos J D 1996 Phys. Rev. B 54 11245
[33] Chan Y S, Chan C T, Liu Z Y 1998 Phys. Rev. Lett. 80 956
[34] Ward A J, Pendry J B 1998 Phys. Rev. B 58 7252
[35] Elson J M, Tran P 1995 J. Opt. Soc. Am. A 12 1765
[36] Elson J M, Tran P 1996 Phys. Rev. B 54 1711
[37] Jiang Y K, Niu C, Lin D L 1999 Phys. Rev. B 59 9981
[38] Yuankai Jiang, PhD dissertation 2005 State University of New York at Buffalo(Buffalo, New York)
[39] Zi J, Wan J, Zhang C 1998 Appl. Phys. Lett. 73 2084
[40] Yano S, Segawa Y, Bae J S, Mizuno K, Miyazaki H, Ohtaka K, Yamaguchi S 2001 Phys. Rev. B 63 153316
[41] Sweeny M, Xu J M 1989 Appl. Phys. Lett. 54 546
[42] Day D J, Chung Y, Webb C, Eckstein J N, Sweeny M, Xu J M 1990 Appl. Phys. Lett. 57 1260
[43] Cox J D, Singh M R 2010 Nanoscale Res. Lett. 5 484
[44] Fei H M, Jiang Y K, Liang J Q, Lin D L 2009 Chinese Physics B 18 2377
-
[1] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[2] John S 1987 Phys. Rev. Lett. 58 2486
[3] Joannopoulos J D, Meade R D, Winn J N 1995 Photonic Crystals (Princeton University Press, Princeton)
[4] Soukoulis C M 1996 Photonic Band Gap Materials (Kluwer, Dordrecht)
[5] Zhang Z, Satpathy S 1990 Phys. Rev. Lett. 65 2650
[6] Robertson W M, Arjavalingam G A, Meade R D, Brommer K D, Rappe A M, Joannopoulos J D 1992 Phys. Rev. Lett. 68 2023
[7] Li Z Y, Gu B Y, Yang G Z 1998 Phys. Rev. Lett. 81 2574
[8] Liu S Y, Lin Z F 2006 Phys. Rev. E 73 066609
[9] Sun S L, Huang X Q, Zhou L 2007 Phys. Rev. E 75 066602
[10] Zentgraf T 2006 Phys. Rev. B 73 115103
[11] Joannopoulos J D, Villeneuve P R, Fan S 1997 Photonic Crystals: Putting a New Twist on Light, Nature (London) 386 143
[12] Ho K M, Chan C T, Soukoulis C M 1990 Phys. Rev. Lett. 65 3152
[13] Yablonovitch E, Gmitter T J, Leung K M 1991 Phys. Rev. Lett. 67 2295
[14] Winn J N, Fink Y, Fan S, Joannopoulos J D 1998 Opt. Lett. 23 1573
[15] Fink Y, Winn J N, Fan S, Chen C, Michel J, Joannopoulos J D, Thomas E L 1998 Science 282 1679
[16] Li Z F, Lin L L, Gu B Y, Yang G Z 2000 Physic B 279 159
[17] Li Z Y, Gu B Y, Yang G Z 1999 Eur. Phys. J. B 11 65
[18] Wang X H, Gu B Y, Li Z Y, Yang G Z 1999 Phys. Rev. B 60 11417
[19] Veselago V C 1968 Sov. Phys. Usp. 10 509
[20] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. Lett. 84 4184
[21] Li J, Zhou L, Chan C T, Sheng P 2003 Phys. Rev. Lett. 90 083901
[22] Shadrivov I V, Sukhorukov A A, Kivshar Y S 2005 Phys. Rev. Lett. 95 193903
[23] Leung K M, Liu Y F 1990 Phys. Rev. Lett. 65 2646
[24] Economou E N, Zdetsis A 1989 Phys. Rev. B 40 1334
[25] Satpathy S, Zhang Z, Salehpour M R 1990 Phys. Rev. Lett. 64 1239
[26] Pendry J B 1994 J. Mod. Opt. 41 209
[27] Bell P M, Pendry J B, Marin Moreno L, Ward A J 1995 Comput. Phys. Commun. 85 306
[28] Li Z Y, Lin L L 2003 Phys. Rev. E 67 046607
[29] Lin L L, Li Z Y, Ho K M 2003 J. Appl. Phys. 94 811
[30] Chan C T, Yu Q L, Ho K M 1995 Phys. Rev. B 51 16635
[31] Taflove A, Hagness S C 2000 Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Norwood, MA)
[32] Fan S, Villeneuve P R, Joannopoulos J D 1996 Phys. Rev. B 54 11245
[33] Chan Y S, Chan C T, Liu Z Y 1998 Phys. Rev. Lett. 80 956
[34] Ward A J, Pendry J B 1998 Phys. Rev. B 58 7252
[35] Elson J M, Tran P 1995 J. Opt. Soc. Am. A 12 1765
[36] Elson J M, Tran P 1996 Phys. Rev. B 54 1711
[37] Jiang Y K, Niu C, Lin D L 1999 Phys. Rev. B 59 9981
[38] Yuankai Jiang, PhD dissertation 2005 State University of New York at Buffalo(Buffalo, New York)
[39] Zi J, Wan J, Zhang C 1998 Appl. Phys. Lett. 73 2084
[40] Yano S, Segawa Y, Bae J S, Mizuno K, Miyazaki H, Ohtaka K, Yamaguchi S 2001 Phys. Rev. B 63 153316
[41] Sweeny M, Xu J M 1989 Appl. Phys. Lett. 54 546
[42] Day D J, Chung Y, Webb C, Eckstein J N, Sweeny M, Xu J M 1990 Appl. Phys. Lett. 57 1260
[43] Cox J D, Singh M R 2010 Nanoscale Res. Lett. 5 484
[44] Fei H M, Jiang Y K, Liang J Q, Lin D L 2009 Chinese Physics B 18 2377
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