基于相干粒子数囚禁的电磁诱导光栅研究

喻松; 廖屏; 杨展予; 顾畹仪

doi:10.7498/aps.62.224205

摘要

基于相干布居囚禁,提出了一种新的电磁诱导光栅物理模型, 得到了该模型下介质极化率的解析表达式. 由于相干布居囚禁引入的原子相干性, 介质极化率会形成增益、无吸收高折射率点以及暗态三个区域. 根据该理论模型, 基于87Rb的原子能级, 提出了一种新型衍射光栅实现方案, 并进行了分析与计算. 结果表明, 在无吸收高折射率点处, 这种光栅是一种纯相位光栅, 一级衍射强度可达到0.4; 在增益区域中, 发现这种光栅是相位光栅和幅度光栅组合而成的混合型光栅, 在其最大增益点, 一级衍射效率最大可达1.26, 二级衍射效率也可增加到0.31.

关键词:

Abstract

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.

Keywords:

作者及机构信息

1.
北京邮电大学, 信息光子学与光通信国家重点实验室, 北京 100876

基金项目: 国家重点基础研究发展计划(批准号: 2012CB315605,2014CB340102)和国家自然科学基金(批准号: 61271193, 61271191)资助的课题.

Authors and contacts

1.
State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China

Funds: Project supported by the National Basic Research Program of China (Grant Nos. 2012CB315605, 2014CB340102) and the National Natural Science Foundation of China (Grant Nos. 61271193, 61371191).

参考文献

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[15]	de Carvalho S A, de Araujo L E E 2011 Opt. Express 19 1936
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[19]	Li Y Y, Zhang H R, Pang W, Chen Y Z 2009 Phys. Lett. A 373 596

施引文献

[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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