| V-I传输矩阵方法在布拉格光纤光栅分析中的运用 |
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| 引用本文： | 纪荣栋,施解龙,陈冠群,胡瑞红. V-I传输矩阵方法在布拉格光纤光栅分析中的运用[J]. 量子电子学报, 2008, 25(1): 99-104 |
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| 作者姓名： | 纪荣栋 施解龙 陈冠群 胡瑞红 |
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| 作者单位： | 上海大学物理系,上海200444 |
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| 基金项目： | 国家自然科学基金（60677030）和上海市自然科学基金（06ZR14034） |
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| 摘 要： | 介绍了V-I传输矩阵方法用于布拉格光纤光栅的理论分析，该方法通过参量变换将相邻薄层间的界面矩阵退化为单位矩阵，从而大大提高了计算效率。从传输矩阵出发，数学上推导出耦合模方程，证明了该方法的正确性，有助于加深对V-I传输矩阵方法物理机制的理解。数值模拟分析发现V-I传输矩阵方法具有计算快速、简单明了的优点。最后还指出V-I传输矩阵方法仅适用于短周期光纤光栅，若要运用于长周期光纤光栅，需要进一步理论修正。
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| 关 键 词： | 纤维与波导光学 V-I传输矩阵方法 耦合模理论 布拉格光纤光栅 |
| 文章编号： | 1007-5461（2008）01-0099-06 |
| 收稿时间： | 2007-03-19 |
| 修稿时间： | 2007-05-18 |
V-I transmission matrix formalism for the analysis of fiber Bragg gratings |
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| JI Rong-dong,SHI Jie-long,CHEN Guan-qun,HU Rui-hong. V-I transmission matrix formalism for the analysis of fiber Bragg gratings[J]. Chinese Journal of Quantum Electronics, 2008, 25(1): 99-104 |
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| Authors: | JI Rong-dong SHI Jie-long CHEN Guan-qun HU Rui-hong |
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| Affiliation: | JI Rong-dong,SHI Jie-long,CHEN Guan-qun,HU Rui-hong ( Department of Physics,Science College,Shanghai University,Shanghai 200444,China) |
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| Abstract: | V-I transmission matrix formalism which is well known in microwave engineering is proposed to analyze the fiber Bragg gratings. The coupled-mode equation is derived mathematically from the transmission matrices, and the validity of V-I transmission matrix formalism is proved. Numerical simulations show that the V-I transmission matrix formalism is much more efficient than coupled-mode theory. At last, it is pointed out that the V-I transmission matrix formalism needs to be modified when it is applied to long-period fiber gratings. |
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| Keywords: | fiber and waveguide optics V-I transmission matrix formalism coupled-mode theory fiber Bragg gratings |
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