统一非对称光波导横向耦合模理论分析

裴丽; 赵瑞峰

doi:10.7498/aps.62.184213

摘要

光波导横向耦合模理论包含正交耦合模理论和非正交耦合模理论两大类, 为了追求形式上的完美, 两类理论没有统一的解析解, 并且都没有对非匹配耦合系统中耦合功率的非对称性进行深入研究. 本文一方面由Helmholtz方程出发推导出了一种新型的非正交耦合模方程, 并对两类理论中的耦合模方程进行了统一处理和求解, 得到了一种统一的解析解; 另一方面根据所得到的统一的解析解对非匹配耦合系统中耦合功率的非对称性进行了详细研究, 计算结果表明非匹配耦合系统中的最大互耦合功率和最小自耦合功率均可用统一的解析解进行近似计算.

关键词:

Abstract

Lateral coupled-mode theory of optical waveguide includes orthogonal coupled-mode theory and nonorthogonal coupled-mode theory. However, the two kinds of coupled-mode theories do not have unified analytical solutions. And they both do not deal with the asymmetric coupling power of unmatched-coupled waveguides deeply. On the one hand, a new kind of nonorthogonal coupled-mode equation is derived from the Helmholtz wave equation in this paper. And both of the orthogonal coupled-mode equations and the nonorthogonal coupled-mode equations are processed and solved uniformly. As a result, a unified solution is obtained. On the other hand, the asymmetric coupling power of unmatched-coupled waveguides is studied in detail, based on the obtained solution. The calculated results show that both of the maximum mutual-coupling power and the minimum self-coupling power can be approximated by the unified solution.

Keywords:

作者及机构信息

裴丽,
赵瑞峰

1.
北京交通大学光波技术研究所, 全光网与现代通信网教育部重点实验室, 北京 100044

基金项目: 国家自然科学基金(批准号:61275076,61177069)资助的课题.

Authors and contacts

1.
Key Laboratory of All Optical Network and Advanced Telecommunication Network, Ministry of Education, Institute of Lightwave Technology, Beijing Jiaotong University, Beijing 100044, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61275076, 61177069).

参考文献

[1]	Skorobogatiy M, Johnson S G, Jacobs S A, Fink Y 2003 Phys. Rev. E 67 046613
[2]	Erdogan T 1997 J. Lightwave Technol. 15 1277
[3]	Cheo P K, Liu A, King G G 2001 Photon. Technol. Lett. IEEE 13 439
[4]	Wu C Q 2005 Theory of Optical Waveguides (Beijing: Tsinghua University Press) p196 (in Chinese) [吴重庆 2005 光波导理论(北京: 清华大学出版社) 第196页]
[5]	Huang W P 1994 J. Opt. Soc. Am. A 11 963
[6]	Haus H, Huang W P, Kawakami S, Whitaker N 1987 J. Lightwave Technol. 5 16
[7]	Ma C S, Liu S Y 2007 Mode Theory of Optical Waveguides (Changchun: Jilin University Press) p305 (in Chinese) [马春生, 刘式庸 2007 光波导模式理论(长春: 吉林大学出版社) 第305页]

施引文献

[1]	Skorobogatiy M, Johnson S G, Jacobs S A, Fink Y 2003 Phys. Rev. E 67 046613
[2]	Erdogan T 1997 J. Lightwave Technol. 15 1277
[3]	Cheo P K, Liu A, King G G 2001 Photon. Technol. Lett. IEEE 13 439
[4]	Wu C Q 2005 Theory of Optical Waveguides (Beijing: Tsinghua University Press) p196 (in Chinese) [吴重庆 2005 光波导理论(北京: 清华大学出版社) 第196页]
[5]	Huang W P 1994 J. Opt. Soc. Am. A 11 963
[6]	Haus H, Huang W P, Kawakami S, Whitaker N 1987 J. Lightwave Technol. 5 16
[7]	Ma C S, Liu S Y 2007 Mode Theory of Optical Waveguides (Changchun: Jilin University Press) p305 (in Chinese) [马春生, 刘式庸 2007 光波导模式理论(长春: 吉林大学出版社) 第305页]

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