含左手材料和单负材料三层平板波导中TE模的传输特性

J4 ›› 2011, Vol. 28 ›› Issue (4): 501-506.

含左手材料和单负材料三层平板波导中TE模的传输特性

李炳祥¹,谢应茂^1,2

1 赣南师范学院物理与电子信息学院，江西赣州 341000；
2 赣南师范学院光电子材料与技术研究所，江西赣州 341000

收稿日期:2010-05-10 修回日期:2010-06-28 出版日期:2011-07-28 发布日期:2011-07-06
通讯作者: 谢应茂（1963- ），江西人,教授,博士,从事光电子学与激光物理研究工作。 E-mail:xieyingmao@126.com
作者简介:李炳祥（1982），福建人,研究生,从事导波光学的研究。E-mail:opticsli@163.com
基金资助:
江西省自然科学基金（2009GZW0002）、江西省教育厅科技项目（GJJ09315）

Propagation properties of TE mode in three layer slab waveguides with left-hand materials and single-negative materials

LI Bing-xiang¹, XIE Ying-mao^1,2

1 School of Physics and Electronic Information, Gannan Normal University, Ganzhou 341000, China;
2 Institute of Optoelectronic Materials and Technology, Gannan Normal University, Ganzhou 341000, China

Received:2010-05-10 Revised:2010-06-28 Published:2011-07-28 Online:2011-07-06

摘要/Abstract

摘要：

研究了以左手材料为衬底和单负材料为覆盖层三层平板波导中TE模的传输特性，为波导器件的设计提供理论支持。首先导出了归一化有效厚度H与归一化频率ν的关系，然后数值计算分析了三层平板波导的传输特性。结果表明，该三层平板波导TE模具有以下特性：1）当导波层与衬底或覆盖层磁导率的比值的增大时，归一化有效折射率b随频率ν的变化率减小。2）当不对称因子a趋近于0时，b随ν单调变化；当a较大时，在截止频率附近，TE₁、TE₂、TE₃、TE₄和TE₅模出现双值现象。3）当a增大时，H-ν曲线从左向右移动。4）对于TE₀模，H出现负值。

关键词: 纤维与波导光学, 平板波导, 左手材料, 单负材料, 传输特性

Abstract:

The propagation properties of TE mode in three slab waveguides with left-hand materials as substrate and single-negative materials as cover layer was investigated, providing the theory for the design of the waveguide device. At first, the dependence of normalized effective waveguide thickness H on normalized frequency ν for the modes of three layer slabs was worked out. Then, the propagation properties of TE mode in three slab waveguides are analyzed. The results show that the change rate of the normalized effective refractive index b with normalized effective frequency ν is decreased with increasing the ratio of permeability of guided wave layer to substrate or superstratum. As the asymmetric value a approach to zero, b varies with ν monotonically. While the asymmetric value is big enough, there is two-value phenomenon for TE1, TE2, TE3, TE4 and TE5 modes near cutoff frequency. When the asymmetric value is increased, the curve H-v will shift from left to right. H will be negative for TE0 mode.

Key words: fiber and waveguide optics, slab waveguide, left-handed materials, single-negative materials, propagation properties

中图分类号:

TN929.11

李炳祥,谢应茂. 含左手材料和单负材料三层平板波导中TE模的传输特性[J]. J4, 2011, 28(4): 501-506.

LI Bing-xiang, XIE Ying-mao. Propagation properties of TE mode in three layer slab waveguides with left-hand materials and single-negative materials[J]. J4, 2011, 28(4): 501-506.

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