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According to the analysis of gain theory, the absorption or gain of medium depends on pump power. The coherent population oscillation leads the pulse to experience absorption saturation and propagation delay in a medium with absorption. This effect induces the pulse to experience gain saturation and propagation advance in a medium with gain. Making use of the transition rate equation of metastable state poplation, we develop the model of fast light in erbium-doped optical fiber and obtain the analytic expression of time advance. We demonstrate that there is a saturation effect of fast light in low frequency region, but the fast light is enhanced with pump power increasing in high frequency region.
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Keywords:
- a material with gain /
- coherent population oscillation /
- fast light
[1] Feinberg G 1967 Phys. Rev. 159 1089
[2] Balanuik O M, Deshpande V K 1962 J. Am J. Phys. 30 718
[3] Enders A, Nimtz G 1992 J. Phys. I France 2 1693
[4] Nimtz G, Heitmann W 1997 Prog. Quant. Electr. 21 81
[5] Steinberg A M, Kwait P G, Chiao R Y 1993 Phys. Rev. Lett. 71 708
[6] Chu S, Wong S 1982 Phys. Rev. Lett. 48 738
[7] Akullshin A M, Barreiro S, Lezama A 1999 Phys. Rev. Lett. 83 4277
[8] Kim K, Moon H S, Lee C, Kim S K, Kim J B 2003 Phys. Rev. A 68 013810-1
[9] Steinberg A M, Chiao R Y 1994 Phys. Rev. A 49 2071
[10] Wang L J, Kuzmich A, Dogariu A 2000 Nature 406 277
[11] Bigelow M S, Lepeshkin N N, Boyd R W 2003 Science 301 200
[12] Schweinsberg A, Lepeshkin N N, Bigelow M S, Boyd R W, Jarabo S 2006 Europhys. Lett. 73 218
[13] Qiu W, Zhang Y D, Ye J B, Tian H 2007 Acta Phys. Sin. 56 7009 (in Chinese) [邱巍, 掌蕴东, 叶建波, 田赫 2007 56 7009]
[14] Qian K, Zhan L, Zhang Z Q 2011 Opt. Lett. 36 2185
[15] Cabrera-Granad E, Melle S 2011 J. Opt. Soc. Am. B 28 1172
[16] Boyd R W 2009 J. Mod. Opt. 56 1908
[17] Novak S, Gieske R 2002 J. Lightwave Technol. 20 975
[18] Fan B H, Zhang Y D 2005 Acta Phys. Sin. 54 4692 (in Chinese) [范保华, 掌蕴东 2005 54 4692]
[19] Bigelow M S, Lepeshkin N N, Boyd R W 2003 Science 301 200
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[1] Feinberg G 1967 Phys. Rev. 159 1089
[2] Balanuik O M, Deshpande V K 1962 J. Am J. Phys. 30 718
[3] Enders A, Nimtz G 1992 J. Phys. I France 2 1693
[4] Nimtz G, Heitmann W 1997 Prog. Quant. Electr. 21 81
[5] Steinberg A M, Kwait P G, Chiao R Y 1993 Phys. Rev. Lett. 71 708
[6] Chu S, Wong S 1982 Phys. Rev. Lett. 48 738
[7] Akullshin A M, Barreiro S, Lezama A 1999 Phys. Rev. Lett. 83 4277
[8] Kim K, Moon H S, Lee C, Kim S K, Kim J B 2003 Phys. Rev. A 68 013810-1
[9] Steinberg A M, Chiao R Y 1994 Phys. Rev. A 49 2071
[10] Wang L J, Kuzmich A, Dogariu A 2000 Nature 406 277
[11] Bigelow M S, Lepeshkin N N, Boyd R W 2003 Science 301 200
[12] Schweinsberg A, Lepeshkin N N, Bigelow M S, Boyd R W, Jarabo S 2006 Europhys. Lett. 73 218
[13] Qiu W, Zhang Y D, Ye J B, Tian H 2007 Acta Phys. Sin. 56 7009 (in Chinese) [邱巍, 掌蕴东, 叶建波, 田赫 2007 56 7009]
[14] Qian K, Zhan L, Zhang Z Q 2011 Opt. Lett. 36 2185
[15] Cabrera-Granad E, Melle S 2011 J. Opt. Soc. Am. B 28 1172
[16] Boyd R W 2009 J. Mod. Opt. 56 1908
[17] Novak S, Gieske R 2002 J. Lightwave Technol. 20 975
[18] Fan B H, Zhang Y D 2005 Acta Phys. Sin. 54 4692 (in Chinese) [范保华, 掌蕴东 2005 54 4692]
[19] Bigelow M S, Lepeshkin N N, Boyd R W 2003 Science 301 200
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