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Based on the coherent population trapping theory, a new physical model of the electromagnetically induced grating (EIG) is proposed. Analytical expression of the dielectric susceptibility is derived using this model. Owing to the atomic coherence, introduced by the coherent population trapping, three regions of dielectric susceptibility, i.e., a gain region, a region with no absorption and high-refraction index, and a dark region, are formed. Based on this model and the energy level of 87Rb, a novel scheme to implement the diffraction grating is proposed. Moreover, theoretical analysis and calculation of this grating are carried out. The results show that in the region with no absorption and high refractive index, the grating presents a pure phase grating and the first-order diffraction intensity can reach 0.4. In the gain region, however, the grating is a combination of phase grating and amplitude grating, and at its largest-gain point, the maximum of the first-order diffraction efficiency arrives at 1.26, and the second-order diffraction efficiency can also increase to 0.31.
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Keywords:
- coherent population trapping /
- electromagnetically induced grating /
- diffraction efficiency
[1] Andre A, Lukin M D 2002 Phys. Rev. Lett. 89 143602
[2] Liu Z, Wang J Y, Diao W T, He J, Wang J M 2013 Chin. Phys. B 22 043201
[3] Bajcsy M, Zibrov A S, Lukin M D 2003 Nature 426 638
[4] Meng S Y, Wu W, Liu B, Ye D F, Fu L B 2009 Chin. Phys. B 18 3844
[5] Cheng J, Huang G X 2011 Phys. Rev. A 83 053847
[6] Wang F Y, Shi B S, Lu X S, Guo G C 2008 Chin. Phys. B 17 1798
[7] Ling H Y, Li Y Q, Xiao M 1998 Phys. Rev. A 57 1338
[8] Yu M, Zhang Y, Fang B, Gao J Y, Gao J W, Wu J H 2012 Acta Phys. Sin. 61 134204 (in Chinese) [于淼, 张岩, 房博, 高俊艳, 高金伟, 吴金辉 2012 61 134204]
[9] Liao P, Yu S, Luo B, Shen J, Gu W Y, Guo H 2011 Phys. Lett. A 375 4172
[10] Zhao J M, Wang L R, Zhao Y T, Ma J, Xiao L T, Jia S T 2005 Acta Phys. Sin. 54 5093 (in Chinese) [赵建明, 汪丽蓉, 赵延霆, 马杰, 肖连团, 贾锁堂 2005 54 5093]
[11] Liao P, Yu S, Luo B, Gu W Y, Guo H 2012 J. Mod. Opt. 59 693
[12] Chen J, Liu Z D, You S P 2006 Acta Phys. Sin. 55 6410 (in Chinese) [陈峻, 刘正东, 尤素萍 2006 55 6410]
[13] Yan X A, Song J P, Yin B Y, Jiang W J, Zheng H B, Zhang Y P 2008 Acta Phys. Sin. 57 3538 (in Chinese) [严祥安, 宋建平, 尹宝银, 蒋文娟, 郑淮斌, 张彦鹏 2008 57 3538]
[14] Huang S G, Gu W Y, Ma Q H 2004 Acta Phys. Sin. 53 4211 (in Chinese) [黄善国, 顾畹仪, 马海强 2004 53 4211]
[15] de Carvalho S A, de Araujo L E E 2011 Opt. Express 19 1936
[16] Scully M O 1991 Phys. Rev. Lett. 67 1855
[17] Yavuz D D 2005 Phys. Rev. Lett. 95 223601
[18] Proite N A, Unks B E, Green J T, Yavuz D D 2008 Phys. Rev. Lett. 101 147401
[19] Li Y Y, Zhang H R, Pang W, Chen Y Z 2009 Phys. Lett. A 373 596
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[1] Andre A, Lukin M D 2002 Phys. Rev. Lett. 89 143602
[2] Liu Z, Wang J Y, Diao W T, He J, Wang J M 2013 Chin. Phys. B 22 043201
[3] Bajcsy M, Zibrov A S, Lukin M D 2003 Nature 426 638
[4] Meng S Y, Wu W, Liu B, Ye D F, Fu L B 2009 Chin. Phys. B 18 3844
[5] Cheng J, Huang G X 2011 Phys. Rev. A 83 053847
[6] Wang F Y, Shi B S, Lu X S, Guo G C 2008 Chin. Phys. B 17 1798
[7] Ling H Y, Li Y Q, Xiao M 1998 Phys. Rev. A 57 1338
[8] Yu M, Zhang Y, Fang B, Gao J Y, Gao J W, Wu J H 2012 Acta Phys. Sin. 61 134204 (in Chinese) [于淼, 张岩, 房博, 高俊艳, 高金伟, 吴金辉 2012 61 134204]
[9] Liao P, Yu S, Luo B, Shen J, Gu W Y, Guo H 2011 Phys. Lett. A 375 4172
[10] Zhao J M, Wang L R, Zhao Y T, Ma J, Xiao L T, Jia S T 2005 Acta Phys. Sin. 54 5093 (in Chinese) [赵建明, 汪丽蓉, 赵延霆, 马杰, 肖连团, 贾锁堂 2005 54 5093]
[11] Liao P, Yu S, Luo B, Gu W Y, Guo H 2012 J. Mod. Opt. 59 693
[12] Chen J, Liu Z D, You S P 2006 Acta Phys. Sin. 55 6410 (in Chinese) [陈峻, 刘正东, 尤素萍 2006 55 6410]
[13] Yan X A, Song J P, Yin B Y, Jiang W J, Zheng H B, Zhang Y P 2008 Acta Phys. Sin. 57 3538 (in Chinese) [严祥安, 宋建平, 尹宝银, 蒋文娟, 郑淮斌, 张彦鹏 2008 57 3538]
[14] Huang S G, Gu W Y, Ma Q H 2004 Acta Phys. Sin. 53 4211 (in Chinese) [黄善国, 顾畹仪, 马海强 2004 53 4211]
[15] de Carvalho S A, de Araujo L E E 2011 Opt. Express 19 1936
[16] Scully M O 1991 Phys. Rev. Lett. 67 1855
[17] Yavuz D D 2005 Phys. Rev. Lett. 95 223601
[18] Proite N A, Unks B E, Green J T, Yavuz D D 2008 Phys. Rev. Lett. 101 147401
[19] Li Y Y, Zhang H R, Pang W, Chen Y Z 2009 Phys. Lett. A 373 596
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