非线性负折射率材料表面TE电磁波的空间稳定特性分析

J4 ›› 2010, Vol. 27 ›› Issue (3): 319-324.

非线性负折射率材料表面TE电磁波的空间稳定特性分析

王兴林江安王庆松郑发农

安徽工程科技学院应用数理系，安徽芜湖, 241000

出版日期:2010-05-28 发布日期:2010-05-11
通讯作者: 王兴林，生于1980年，男，安徽工程科技学院应用数理系工作，从事电磁传输理论的相关研究。
基金资助:
安徽工程科技院校青年基金项目（2006YQ025）

The stability properties of TE electromagnetic waves at the interface of a nonlinear negative refraction material

WANG Xin-Lin, JIANG An, WANG Qing-Song, ZHENG Fa-Nong

Department of Applied Mathmetics and Physics, Anhui University of Technology and Science, Wuhu 241000, China

Published:2010-05-28 Online:2010-05-11

摘要/Abstract

摘要：

针对电磁波在正负非线性材料界面处的传播，研究了两种稳定状态下电磁波的物理特性。理论分析和数值计算表明，该界面处电磁波的传播存在着频率通带，且带宽仅与两种材料的固有属性有关。得出前向表面波和后向表面波均可以在这种非线性导波系统中传播，并且在一定条件下，随着频率的变化，前向表面波和后向表面波可以在两种材料中跃变。推论出两种稳定传播的电磁波场峰值位置随传播功率的变化也能实现在两种材料中跃变，并逐渐向界面靠近，而传播功率较大的稳定态电场峰值几乎靠着界面。

关键词: 光电子学∣表面波∣非线性效应∣负折射率材料

Abstract:

For TE electromagnetic waves propagating at the interface of a conventional nonlinear material and a negative refraction material, the properties are investigated in detail. The results prove that there exist pass band, which have the material-dependent properties. Base on the analysis, the interface support both forward and backward TE surface waves which can change each other under certain conditions. The electric field amplitude in the two materials are also studied, we found the two amplitudes can change from one material to the other one with the difference of energy flux. Both of the two amplitudes are near the interface, one is almost at the interface.

Key words: optoelectronics∣surface wave∣nonlinear effect∣negative refraction material

王兴林江安王庆松郑发农. 非线性负折射率材料表面TE电磁波的空间稳定特性分析[J]. J4, 2010, 27(3): 319-324.

WANG Xin-Lin, JIANG An, WANG Qing-Song, ZHENG Fa-Nong. The stability properties of TE electromagnetic waves at the interface of a nonlinear negative refraction material[J]. J4, 2010, 27(3): 319-324.

参考文献

[1] Veselago V G. The electrodynamics of substances with simultaneously negative values of and
[J]. Sov. Phys. Usp, 1968, 10 (4): 509-514.

[2] Shelby R A, Smith D R, Schultz. Experimental verification of a negative index of refraction
[J]. Scinence, 2001, 292: 77-79.

[3] Smith D R, Padilla W J, Vier D C, et al. Composite medium with simultaneously negative permeability and permittivity
[J]. Phys Rev Lett, 2000, 84 (18): 4184-4187.

[4] Pendry J B. Negative refraction makes a perfect lens. Phys. Rev. Lett, 2000, 85 (18): 3966~3969.

[5] Smith D R, Kroll N. Negative refraction index in left-handed materials. Phys. Rev. Lett, 2000, 85 (14): 2933~2936.

[6] Ruppin R. Surface polaritons of a left-handed medium. Phys. Lett. A ,2000, 277: 61~ 64.

[7] Shvets G. Left-handed surface waves in a photonic structure. Physica B, 2003, 338~342.

[8] Wang Zihua, Wang Jian. Advanced orthogonal condition between two types of radiation modes for multiplayer dielectric waveguides
[J]. Chinese journal of quantum electronics, 1998, 5 (15): 479-484.

[9] Wang Xinglin, Wang Qi, Shi Jielong, Shen Ming. Guided Modes in a Thin Dielectric Film Symmetrically Bounded by Left-haned Media
[J]. Chinese journal of quantum electronics, 2006, 5 (23): 719-724.

[10] Zharov A A, Shadrivov I V, Kivshar Y S. Nonlinear properties of left-handed metamaterial. Phys. Rev. Lett, 2003, 91 (3): 037401.

[11] Shadrivov I V, Sukhorukov A A, Kivshar Y S. Nonlinear surface waves in left-handed materials. Phys. Rev. E, 2004, 69: 016617.

[12] Shadrivov I V, Kivshar Y S. Spatial solitons in nonlinear left-handed metamaterials. J. Opt. A: Pure Appl. Op, 2005, 7: 568~572.

[13] Partha P B, Georges N. Linear ane nonlinear propagation in negative index materials
[J]. J. Opt. soc. Am. B, 2006, 11: 2348~2355.

[14] Gasperis P D, Marcelli R, Miccoli G. Microwave solitons in magnetic garnet films. J. Appl. Physics, 1998, 63 (8): 4136~4140.

[15] Boardman A D, Shabat M M, Wallis R F. Nonlinear magnetodynamic waves on magnetic materials
[J]. Phys. Rev. B, 1990, 41:717-730.

[16] Wang Qi, Awai I. Frequency characteristics of the maganetic spatial solitons on the surface of an antiferromagnet
[J]. J. Appl. Phys, 1998, 83 (1): 382-387.