Scattering-theory analysis of waveguide-resonator coupling

Scattering-theory analysis of waveguide-resonator coupling
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DOI:
10.1103/physreve.62.7389
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发表时间:
2000-11
期刊:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子:
--
通讯作者:
Yong Xu;Yi Li;R. Lee;A. Yariv
Yong Xu;Yi Li;R. Lee;A. Yariv
中科院分区:
其他
文献类型:
--
作者:
Yong Xu;Yi Li;R. Lee;A. Yariv

文献摘要

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利用类似于量子散射理论的形式,我们分析了光波导与高Q谐振腔之间的耦合问题。我们给出了光传输和反射系数作为波导谐振腔耦合,腔损耗(增益),和腔谐振频率的函数。在此基础上,对最近提出的“临界耦合”概念进行了讨论。利用基于散射分析的矩阵方法,得到了间接耦合谐振腔光波导的色散关系。研究了波导与多腔体的耦合问题,导出了多腔体的反射系数和透射系数。
Using a formalism similar to the quantum scattering theory, we analyze the problem of coupling between optical waveguides and high Q resonators. We give the optical transmission and reflection coefficients as functions of the waveguide-resonator coupling, cavity loss (gain), and cavity resonant frequency. Based on these results, the recently proposed concept of "critical coupling" is discussed. Using a matrix formalism based on the scattering analysis, we find the dispersion relation of indirectly coupled resonator optical waveguides. The coupling between waveguides and multiple cavities is investigated and the reflection and transmission coefficients are derived.