中国物理B ›› 2011, Vol. 20 ›› Issue (4): 47201-047201.doi: 10.1088/1674-1056/20/4/047201

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Surface plasmon–polaritons on ultrathin metal films

田英1, 张军2, 邵乐喜2, 全军3   

  1. (1)Center of Liberal Education, Zhanjiang Normal University, Zhanjiang 524048, China; (2)School of Physics Science and Technology, Zhanjiang Normal University, Zhanjiang 524048, China; (3)School of Physics Science and Technology, Zhanjiang Normal University, Zhanjiang 524048, China;School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore
  • 收稿日期:2010-10-19 修回日期:2010-12-19 出版日期:2011-04-15 发布日期:2011-04-15
  • 基金资助:
    Project supported by the Cultivation of Innovative Talents of the Colleges and Universities of Guangdong Province of China (Grant No. LYM10098).

Surface plasmon–polaritons on ultrathin metal films

Quan Jun(全军)a)b),Tian Ying(田英)c), Zhang Jun(张军)a),and Shao Le-Xi(邵乐喜)a)   

  1. a School of Physics Science and Technology, Zhanjiang Normal University, Zhanjiang 524048, China; b School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore; c Center of Liberal Education, Zhanjiang Normal University, Zhanjiang 524048, China
  • Received:2010-10-19 Revised:2010-12-19 Online:2011-04-15 Published:2011-04-15
  • Supported by:
    Project supported by the Cultivation of Innovative Talents of the Colleges and Universities of Guangdong Province of China (Grant No. LYM10098).

摘要: We discuss the surface plasmon-polaritons used for ultrathin metal films with the aid of linear response theory and make comparisons with the known result given by Economou E N. In this paper we consider transverse electromagnetic fields and assume that the electromagnetic field in the linear response formula is the induced field due to the current of the electrons. It satisfies the Maxwell equation and thus we replace the current (charge) term in the Maxwell equation with the linear response expectation value. Finally, taking the external field to be zero, we obtain the dispersion relation of the surface plasmons from the eigenvalue equation. In addition, the charge-density and current-density in the z direction on the surface of ultrathin metal films are also calculated. The results may be helpful to the fundamental understanding of the complex phenomenon of surface plasmon-polaritons.

关键词: surface plasmon-polariton, linear response theory, dispersion relation, ultrathin metal film

Abstract: We discuss the surface plasmon–polaritons used for ultrathin metal films with the aid of linear response theory and make comparisons with the known result given by Economou E N. In this paper we consider transverse electromagnetic fields and assume that the electromagnetic field in the linear response formula is the induced field due to the current of the electrons. It satisfies the Maxwell equation and thus we replace the current (charge) term in the Maxwell equation with the linear response expectation value. Finally, taking the external field to be zero, we obtain the dispersion relation of the surface plasmons from the eigenvalue equation. In addition, the charge-density and current-density in the z direction on the surface of ultrathin metal films are also calculated. The results may be helpful to the fundamental understanding of the complex phenomenon of surface plasmon-polaritons.

Key words: surface plasmon-polariton, linear response theory, dispersion relation, ultrathin metal film

中图分类号: 

  • 72.30.Mf
71.45.Gm (Exchange, correlation, dielectric and magnetic response functions, plasmons)