Analysis of unified unsymmetric lateral coupled-mode theory of optical waveguide

Pei Li; Zhao Rui-Feng

doi:10.7498/aps.62.184213

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:

PACS:

42.79.Gn	(Optical waveguides and couplers)
42.81.Qb	(Fiber waveguides, couplers, and arrays)
42.82.Et	(Waveguides, couplers, and arrays)

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).

References

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[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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Catalog

Vol. 62, Issue 18 - 2013-09-20

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