中国物理B ›› 2010, Vol. 19 ›› Issue (9): 97303-097303.doi: 10.1088/1674-1056/19/9/097303

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The dispersion relations for surface plasmon in a nonlinear–metal–nonlinear dielectric structure

于丽1, 逯志欣1, 张恺1, 刘炳灿2   

  1. (1)School of Science, Key Laboratory of Information Photonics and Optical Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China; (2)School of Science, Key Laboratory of Information Photonics and Optical Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China; Department of Fundamental Courses, Academy of Armored Force Engineering, Beijing 100072, China
  • 收稿日期:2009-11-20 修回日期:2010-01-22 出版日期:2010-09-15 发布日期:2010-09-15
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No. 2010CB923202).

The dispersion relations for surface plasmon in a nonlinear–metal–nonlinear dielectric structure

Liu Bing-Can(刘炳灿)a)b)†, Yu Li(于丽)a), Lu Zhi-Xin(逯志欣)a), and Zhang Kai(张恺)a)   

  1. a School of Science, Key Laboratory of Information Photonics and Optical Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China; b Department of Fundamental Courses, Academy of Armored Force Engineering, Beijing 100072, China
  • Received:2009-11-20 Revised:2010-01-22 Online:2010-09-15 Published:2010-09-15
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No. 2010CB923202).

摘要: In the asymmetric and symmetric nonlinear--metal--nonlinear dielectric structures, this paper studies the analytic dispersion relation for surface plasmon in a system consisting of a thin metallic film covered on two sides media of intensity-dependent refractive indexes by applying a generalised first integral approach. Especially in the symmetric waveguide structure, two possible modes can exist: the odd mode and the even mode. The dispersion relations of the two modes are obtained. Due to the nonlinear dielectric, the squared magnitude of the electric field at the interface appears and alters the dispersion relations. Numerical results are compared to those from a certain approximate treatment.

Abstract: In the asymmetric and symmetric nonlinear–metal–nonlinear dielectric structures, this paper studies the analytic dispersion relation for surface plasmon in a system consisting of a thin metallic film covered on two sides media of intensity-dependent refractive indexes by applying a generalised first integral approach. Especially in the symmetric waveguide structure, two possible modes can exist: the odd mode and the even mode. The dispersion relations of the two modes are obtained. Due to the nonlinear dielectric, the squared magnitude of the electric field at the interface appears and alters the dispersion relations. Numerical results are compared to those from a certain approximate treatment.

Key words: dispersion relation, metal, surface plasmon, nonlinear

中图分类号: 

  • 7320M