| 左手材料光纤的标量解近似 |
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| 引用本文： | 沈陆发,王子华.左手材料光纤的标量解近似[J].光子学报,2008,37(1):35-38. |
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| 作者姓名： | 沈陆发 王子华 |
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| 作者单位： | 1. 上海大学,通信与信息工程学院,上海,200072;湖州师范学院,理学院,浙江,湖州,313000
2. 上海大学,通信与信息工程学院,上海,200072 |
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| 基金项目： | 国家自然科学基金
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上海市重点学科建设项目 |
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| 摘 要： | 从Maxwell方程组出发,讨论纤芯为左手材料,包层为右手材料的阶跃型光纤.在弱导的情况下,假定横向场的极化方向保持不变,推导了横向电场满足的Helmholtz方程,利用边界条件,经过数学计算,建立了左手材料光纤标量解的特征方程,画出了左手材料光纤LP01模和LP11模的色散曲线.比较左、右手材料光纤的特征方程及其相关曲线,得到了左手材料光纤的某些奇异特性.
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| 关 键 词： | 光纤 左手材料 右手材料 特征方程 |
| 文章编号： | 1004-4218（2007）01-0035-4 |
| 收稿时间： | 2006-07-17 |
| 修稿时间： | 2006年7月17日 |
An Approximate Solution in a Step-index Optical Fiber with Left-handed Material |
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| SHEN Lu-fa,WANG Zi-hua.An Approximate Solution in a Step-index Optical Fiber with Left-handed Material[J].Acta Photonica Sinica,2008,37(1):35-38. |
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| Authors: | SHEN Lu-fa WANG Zi-hua |
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| Abstract: | A step-index optical fiber has been analyzed with left-handed material as the core,and right-handed material as the cladding by using Maxwell′s equations.Under the weakly guided case,the polarization direction of the transverse electric field is fixed,and its Helmholz equation is obtained.After some algebraic manipulation,an eigenvalue equation of the fiber with the left-handed material is obtained by marching the boundary conditions.According to the eigenvalue equation,the dispersion curves for the LP01 mode and LP11 mode are plotted.After comparing their eigenvalue equations and their dispersion curves for that of the left-handed material fibers and the right-handed material fibers,some abnormal propagation characteristics of the fiber with the left-handed material are found. |
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| Keywords: | Optical fiber Left-handed material Right-handed material Eigenvalue equation |
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