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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.
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Keywords:
- optical waveguide /
- coupled-mode theory /
- coupler /
- maximum coupling power
[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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[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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