›› 2015, Vol. 24 ›› Issue (2): 24205-024205.doi: 10.1088/1674-1056/24/2/024205

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Position-dependent property of resonant dipole—dipole interaction mediated by localized surface plasmon of an Ag nanosphere

许丹, 王小云, 黄勇刚, 欧阳仕粮, 何海龙, 何浩   

  1. College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou 416000, China
  • 收稿日期:2014-05-22 修回日期:2014-09-02 出版日期:2015-02-05 发布日期:2015-02-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11347215, 11464014, and 11104113), the Natural Science Foundation of Hunan Province, China (Grant Nos. 13JJ6059 and 13JJB015), and the Natural Science Foundation of Education Department of Hunan Province, China (Grant Nos. 13C750 and 13B091).

Position-dependent property of resonant dipole—dipole interaction mediated by localized surface plasmon of an Ag nanosphere

Xu Dan (许丹), Wang Xiao-Yun (王小云), Huang Yong-Gang (黄勇刚), Ouyang Shi-Liang (欧阳仕粮), He Hai-Long (何海龙), He Hao (何浩)   

  1. College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou 416000, China
  • Received:2014-05-22 Revised:2014-09-02 Online:2015-02-05 Published:2015-02-05
  • Contact: Wang Xiao-Yun E-mail:wxyyun@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11347215, 11464014, and 11104113), the Natural Science Foundation of Hunan Province, China (Grant Nos. 13JJ6059 and 13JJB015), and the Natural Science Foundation of Education Department of Hunan Province, China (Grant Nos. 13C750 and 13B091).

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摘要： We use the photon Green-function method to study the quantum resonant dipole-dipole interaction (RDDI) induced by an Ag nanosphere (ANP). As the distance between the two dipoles increases, the RDDI becomes weaker, which is accompanied by the influence of the higher-order mode of the ANP on RDDI declining more quickly than that of the dipole mode. Across a broad frequency range (above 0.05 eV), the transfer rate of the RDDI is nearly constant since the two dipoles are fixed at the proper position. In addition, this phenomenon still exists for slightly different radius of the ANPs. We find that the frequency corresponding to the maximum transfer rate of RDDI exhibits a monotonic decrease by moving away one dipole as the other dipole and the ANP are kept fixed. In addition, the radius of ANP has little effect on this. When the two dipoles are far from the ANP, the maximum transfer rate of the RDDI takes place at the frequency of the dipole mode. In contrast, when the two dipoles are close to the ANP, the higher-order modes come into effect and they will play a leading role in the RDDI if they match the transition frequency of the dipole. Our results may be used in a biological detector and have a certain guiding significance for further application.

关键词: quantum resonant dipole-dipole interaction, photonic Green function, surface plasmon

Abstract: We use the photon Green-function method to study the quantum resonant dipole-dipole interaction (RDDI) induced by an Ag nanosphere (ANP). As the distance between the two dipoles increases, the RDDI becomes weaker, which is accompanied by the influence of the higher-order mode of the ANP on RDDI declining more quickly than that of the dipole mode. Across a broad frequency range (above 0.05 eV), the transfer rate of the RDDI is nearly constant since the two dipoles are fixed at the proper position. In addition, this phenomenon still exists for slightly different radius of the ANPs. We find that the frequency corresponding to the maximum transfer rate of RDDI exhibits a monotonic decrease by moving away one dipole as the other dipole and the ANP are kept fixed. In addition, the radius of ANP has little effect on this. When the two dipoles are far from the ANP, the maximum transfer rate of the RDDI takes place at the frequency of the dipole mode. In contrast, when the two dipoles are close to the ANP, the higher-order modes come into effect and they will play a leading role in the RDDI if they match the transition frequency of the dipole. Our results may be used in a biological detector and have a certain guiding significance for further application.

Key words: quantum resonant dipole-dipole interaction, photonic Green function, surface plasmon

中图分类号:  (Quantum description of interaction of light and matter; related experiments)

  • 42.50.Ct
34.20.-b (Interatomic and intermolecular potentials and forces, potential energy surfaces for collisions) 73.20.Mf (Collective excitations (including excitons, polarons, plasmons and other charge-density excitations))