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Recently, studies by Jure Grgic et al. (Phys. Rev. Lett. 108 183903, 2012) show that in a periodic structure, the large gain can be eventually turned to decreasing the effect of slow light on the structure. In this paper, one-dimensional periodic structures are taken as an instance, and the influences of gain on slow light are further investigated. It is shown that different influences can exhibit in the finite-length and infinite-length one-dimensional periodic structures. For the infinite-length structures, the addition of gain can decrease the slow light effect, whereas for finite-lengh structures, the compensation of gain can, to a certain degree, increase the slow light effect. Our results verify a feasible way in the application of such a periodic structure, as a slow-light device, and especially as the tunable slow-light devices, in the high-density integration of optical circuits.
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Keywords:
- gain /
- slow light effect /
- one-dimensional periodic structures /
- finite-length
[1] Shen Y, Liu H, Fu J, Yu G 2011 J. Opt. Soc. Am. B 28 2444
[2] [3] Shen Y, Fan D H, Fu J W, Yu G P 2011 Acta Phys. Sin. 60 117302 (in Chinese)[沈云, 范定寰, 傅继武, 于国萍 2011 60 117302]
[4] Baba T, Mori D 2007 J. Phys. D: Appl. Phys. 40 2659
[5] [6] [7] Shen Y, Yu G, Wang G 2011 Appl. Phys. Lett. 99 221916
[8] Shen Y, Fu J, Yu G 2011 Phys. Lett. A 375 3801
[9] [10] [11] Xu L, Li M H, Zhang Y, Ma Y, Xu J, Huang X F, Chen K J 2002 Chin. Phys. Lett. 19 1377
[12] Liu X D, Xu X S, Wang Y Q, Zhang D Z, Cheng B Y 2003 Chin. Phys. 12 992
[13] [14] Gantzounis G, Stefanou N 2008 J. Phys.: Condens. Matter 20 015202
[15] [16] Govyadinov A A, Podolskiy V A 2006 Phys. Rev. Lett. 97 223902
[17] [18] Shen Y, Wang G P 2009 Opt. Express 17 12807
[19] [20] [21] Zhang B, Zhang L, Yan L S, Fazal I, Yang J Y, Willner A E 2007 Opt. Express 15 8317
[22] Willner A E, Zhang B, Zhang L, Yan L, Fazal I 2008 IEEE J. Sel. Top. Quantum Electron. 14 691
[23] [24] [25] Fazal I, Yilmaz O, Nuccio S, Zhang B, Willner A E, Langrock C, Fejer M M 2007 Opt. Express 15 10492
[26] [27] Grgi J, Ott J R, Wang F, Sigmund O, Jauho A P, Mrk J, Mortensen N A 2012 Phys. Rev. Lett. 108 183903
[28] [29] Yariv A, Yeh P 1984 Optical waves in Crystals (New York: Wiley Press)
[30] [31] Zhang H, Zhang Y, Su X, Liu C 2004 Acta Sin. Quantum Opt. 10 38 (in Chinese)[张会云, 张玉萍, 苏希玉, 刘灿德 2004 量子光学学报 10 38]
[32] [33] Poon J K S, Scheuer J, Mookherjea S, Paloczi G T, Huang Y, Yariv A 2004 Opt. Express 12 90
[34] Bendickson J M, Dowling J P 1996 Phys. Rev. E 53 4107
[35] [36] Palik E D 1985 Handbook of Optical Constants of Solids (Orlando: Academic Press)
[37] [38] [39] Alam M Z, Meier J, Aitchison J S, Mojahedi M 2007 Opt. Express 15 176
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[1] Shen Y, Liu H, Fu J, Yu G 2011 J. Opt. Soc. Am. B 28 2444
[2] [3] Shen Y, Fan D H, Fu J W, Yu G P 2011 Acta Phys. Sin. 60 117302 (in Chinese)[沈云, 范定寰, 傅继武, 于国萍 2011 60 117302]
[4] Baba T, Mori D 2007 J. Phys. D: Appl. Phys. 40 2659
[5] [6] [7] Shen Y, Yu G, Wang G 2011 Appl. Phys. Lett. 99 221916
[8] Shen Y, Fu J, Yu G 2011 Phys. Lett. A 375 3801
[9] [10] [11] Xu L, Li M H, Zhang Y, Ma Y, Xu J, Huang X F, Chen K J 2002 Chin. Phys. Lett. 19 1377
[12] Liu X D, Xu X S, Wang Y Q, Zhang D Z, Cheng B Y 2003 Chin. Phys. 12 992
[13] [14] Gantzounis G, Stefanou N 2008 J. Phys.: Condens. Matter 20 015202
[15] [16] Govyadinov A A, Podolskiy V A 2006 Phys. Rev. Lett. 97 223902
[17] [18] Shen Y, Wang G P 2009 Opt. Express 17 12807
[19] [20] [21] Zhang B, Zhang L, Yan L S, Fazal I, Yang J Y, Willner A E 2007 Opt. Express 15 8317
[22] Willner A E, Zhang B, Zhang L, Yan L, Fazal I 2008 IEEE J. Sel. Top. Quantum Electron. 14 691
[23] [24] [25] Fazal I, Yilmaz O, Nuccio S, Zhang B, Willner A E, Langrock C, Fejer M M 2007 Opt. Express 15 10492
[26] [27] Grgi J, Ott J R, Wang F, Sigmund O, Jauho A P, Mrk J, Mortensen N A 2012 Phys. Rev. Lett. 108 183903
[28] [29] Yariv A, Yeh P 1984 Optical waves in Crystals (New York: Wiley Press)
[30] [31] Zhang H, Zhang Y, Su X, Liu C 2004 Acta Sin. Quantum Opt. 10 38 (in Chinese)[张会云, 张玉萍, 苏希玉, 刘灿德 2004 量子光学学报 10 38]
[32] [33] Poon J K S, Scheuer J, Mookherjea S, Paloczi G T, Huang Y, Yariv A 2004 Opt. Express 12 90
[34] Bendickson J M, Dowling J P 1996 Phys. Rev. E 53 4107
[35] [36] Palik E D 1985 Handbook of Optical Constants of Solids (Orlando: Academic Press)
[37] [38] [39] Alam M Z, Meier J, Aitchison J S, Mojahedi M 2007 Opt. Express 15 176
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