Analysis of planar waveguides with index discontinuity or index slope discontinuity

Springer Science and Business Media LLC - Tập 33 - Trang 675-683 - 2001
Qing Liu1, Zhuang Qi Cao1, Qishun Shen1, Xiaoming Dou1, Yingli Chen1
1Molecular Photonics Lab, Department of Applied physics, Institute of Optics and Photonics, Shanghai Jiao Tong University, Shanghai, P.R. China

Tóm tắt

In this paper, we propose a novel analytic transfer matrix method (ATMM) to the analysis of planar waveguides with index discontinuity or index slope discontinuity, for the cases when the conventional WKB method is no longer valid. We also analyze the physical insight of the approximations in WKB theory, and according to our research, the phase shift at the turning point is not π/2, but exactly π. Test calculations are done for an index profile with a known solution and the comparison shows that our method gives extremely accurate propagation constant.

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Tài liệu tham khảo

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Springer Science and Business Media LLC

Tập 33

675-683

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