磁单负材料板附近的原子的自发辐射场分布

秦黎; 李泽亚; 许静平; 张利伟; 羊亚平

doi:10.7498/aps.64.014206

摘要

本文研究了磁单负材料板附近的两能级原子通过自发辐射激发的表面模式及场强分布. 磁单负材料是有效介电常数大于零而磁导率小于零的人工微结构材料. 根据麦克斯韦方程及边界条件, 这种材料板只支持TE极化的表面模式. 本文分析了具有不同磁导率和厚度的磁单负材料板所支持的表面模的性质, 如模式数目和模式的对称性, 进而讨论了这些特性对原子自发辐射场的空间分布的影响. 结果表明原子与磁单负材料板的距离可影响辐射场中表面模的比重, 当表面模起主要贡献时, 在材料板左表面上原子辐射场呈定向发射的分布. 而材料板右表面的辐射场分布取决于表面模的对称性和比重, 如果同时存在对称和反对称的表面模, 右表面的场很弱甚至完全消失, 而如果只存在对称或反对称的表面模, 右表面会有与左表面等强度的辐射场分布. 这些性质与原子在金属表面的辐射场分布明显不同, 我们的结果对原子辐射场的空间控制以及实现简单结构的单光子源有积极意义.

关键词:

Abstract

This paper discusses the spontaneous emission field of a two-level atom near a μ-negative metamaterial(MNG) slab, in which the surface modes are excited. the μ-negative metamaterial is a kind of artificial-microstructured materials possessing effective negative permeability and positive permittivity. According to Maxwell's equations and boundary conditions, the MNG slab supports only TE-polarized surface modes.We analyze the properties of the surface mode, i.e.the number of the surface mode and its symmetry or antisymmetry profiles, supported by the MNG slab with different permeability and thickness, and then study the influence of these characteristics on the spatial distribution of the spontaneous emission field in detail. Results show that the distance between the atom and the slab can affect the ratio of surface mode to the total atomic emission field. When the surface mode plays the dominate role, the spontaneous emission field of the atom on the nearest surface of MNG slab are directionally propagating along y-axis if the atomic dipole is along x-axis due to the TE-polarized surface mode. The atomic emission field on the other surface depends on the symmetry of the surface modes and their percentage. If the symmetric and antisymmetric surface modes coexist, the field intensity on the right surface is weakened or even disappears completely, but if there exists only symmetric or antisymmetric surface mode, the field intensity on the right surface is nearly identical with that on the left surface. These phenomena are significantly different from the case of atoms near a metal slab or a dielectric slab. Our results are useful for the controllable atomic emission and have potential application to the single-photon source.

Keywords:

作者及机构信息

1.
同济大学物理科学与工程学院, 先进微结构材料教育部重点实验室, 上海 200092;

2.
河南理工大学物理化学学院, 焦作 454000

基金项目: 国家自然科学基金(批准号: 11274242, 11474221)、国家自然科学基金委员会-中国工程物理研究院联合基金(批准号: U1330203)、国家重点基础研究项目特别基金(批准号:2011CB922203, 2013CB632701)、中央高校基本科研业务费专项资金和河南省教育厅自然科学基金(批准号: 14A140011) 资助的课题.

Authors and contacts

1.
MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China;

2.
School of Physics and Chemistry, Henan Polytechnic University, Jiaozuo 454000, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11274242, 11474221), the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics (Grant No. U1330203), the National Key Basic Research Special Foundation of China (NKBRSFC) (Grant Nos. 2011CB922203, 2013CB632701), and the Fundamental Research Funds for the Central Universities, Foundations of Henan Educational Committee, China (Grant No. 14A140011).

参考文献

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[7]	Xu H X, Wang G M, Wang J F, Yang Z M 2012 Chin. Phys. B 21 124101
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[9]	Marqués R, Medina F, Rafii-EI-Idrissi R 2002 Phys. Rev. B 65 144440
[10]	Huang K C, Povinelli M L, Joannopoulos J D 2004 Appl. Phys. Lett. 85 543
[11]	Moser H O, Casse B D F, Wilhelmi O, Saw B T 2005 Phys. Rev. Lett. 94 063901
[12]	Zhang S, Fan W J, Minhas B K, Frauenglass A, Malloy K J, Brueck S R J 2005 Phys. Rev. Lett. 94 037402
[13]	Liu D M, Han P 2010 Acta Phys. Sin. 59 7066 (in Chinese) [刘冬梅, 韩鹏 2010 59 7066]
[14]	He Q, Sun S L, Xiao S Y, Li X, Song Z Y, Sun W J, Zhou L 2014 Chin. Phys. B 23 047808
[15]	Zhang L W, Zhao Y H, Wang Q, Fang K, Li W B, Qiao W T 2012 Acta Phys. Sin. 61 068401 (in Chinese) [张利伟, 赵玉环, 王勤, 方恺, 李卫彬, 乔文涛 2012 61 068401]
[16]	Ruppin R 2000 Phys. Lett. A 277 61
[17]	Ruppin R 2001 J. Phys. Condens. Matter 13 1811
[18]	Chang D E, Sorensen A S, Hemmer P R, Lukin M D 2006 Phys. Rev. Lett. 97 053002
[19]	Ritchie R H 1957 Phys. Rev. 106 874
[20]	Xu J P, Al-Amri M, Yang Y P, Zhu S Y, Zubairy M S 2011 Phys. Rev. A 84 032334
[21]	Xu J P, Yang Y P, Lin Q, Zhu S Y 2009 Phys. Rev. A 79 043812
[22]	Xu J P, Yang Y P, Zhu S Y 2010 J. Mod. Opt 57 1473
[23]	Ringler M, Schwemer A, Wunderlich M, Nichtl A, Kurzinger K, Klar T A, Feldmann J 2008 Phys. Rev. Lett. 100 203002
[24]	Dung H T, Buhmann S Y, Knöll L, Welsch D G, Schell S, Kastel J 2003 Phys. Rev. A 68 043816
[25]	Otto A 1968 Z. Phys. 216 398

施引文献

[1]	Veselago V G 1968 Soviet Physics Usp. 10 509
[2]	Sun Y Z, Ran L X, Wang D X, Wang W G, Chen Q L 2010 Acta Phys. Sin. 59 4602 (in Chinese) [孙永志, 冉立新, 王东兴, 王伟光, 陈秋林 2010 59 4602]
[3]	Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett. 76 4773
[4]	Alù, Engheta N 2003 IEEE Trans. Antennas Propagat. 51 2558
[5]	Zhang L W, Wang Y Z, He L, Xu J P 2010 Acta Phys. Sin. 59 6106 (in Chinese) [张利伟, 王佑贞, 赫丽, 许静平 2010 59 6106]
[6]	Zang Y Z, He M X, Gu J Q, Tian Z, Han J G 2012 Chin. Phys. B 21 117802
[7]	Xu H X, Wang G M, Wang J F, Yang Z M 2012 Chin. Phys. B 21 124101
[8]	Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory Tech. 47 2075
[9]	Marqués R, Medina F, Rafii-EI-Idrissi R 2002 Phys. Rev. B 65 144440
[10]	Huang K C, Povinelli M L, Joannopoulos J D 2004 Appl. Phys. Lett. 85 543
[11]	Moser H O, Casse B D F, Wilhelmi O, Saw B T 2005 Phys. Rev. Lett. 94 063901
[12]	Zhang S, Fan W J, Minhas B K, Frauenglass A, Malloy K J, Brueck S R J 2005 Phys. Rev. Lett. 94 037402
[13]	Liu D M, Han P 2010 Acta Phys. Sin. 59 7066 (in Chinese) [刘冬梅, 韩鹏 2010 59 7066]
[14]	He Q, Sun S L, Xiao S Y, Li X, Song Z Y, Sun W J, Zhou L 2014 Chin. Phys. B 23 047808
[15]	Zhang L W, Zhao Y H, Wang Q, Fang K, Li W B, Qiao W T 2012 Acta Phys. Sin. 61 068401 (in Chinese) [张利伟, 赵玉环, 王勤, 方恺, 李卫彬, 乔文涛 2012 61 068401]
[16]	Ruppin R 2000 Phys. Lett. A 277 61
[17]	Ruppin R 2001 J. Phys. Condens. Matter 13 1811
[18]	Chang D E, Sorensen A S, Hemmer P R, Lukin M D 2006 Phys. Rev. Lett. 97 053002
[19]	Ritchie R H 1957 Phys. Rev. 106 874
[20]	Xu J P, Al-Amri M, Yang Y P, Zhu S Y, Zubairy M S 2011 Phys. Rev. A 84 032334
[21]	Xu J P, Yang Y P, Lin Q, Zhu S Y 2009 Phys. Rev. A 79 043812
[22]	Xu J P, Yang Y P, Zhu S Y 2010 J. Mod. Opt 57 1473
[23]	Ringler M, Schwemer A, Wunderlich M, Nichtl A, Kurzinger K, Klar T A, Feldmann J 2008 Phys. Rev. Lett. 100 203002
[24]	Dung H T, Buhmann S Y, Knöll L, Welsch D G, Schell S, Kastel J 2003 Phys. Rev. A 68 043816
[25]	Otto A 1968 Z. Phys. 216 398

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