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利用圆柱形介质设计了一个Bragg微腔结构,含有圆柱形和环形两个微腔。基于传输矩阵理论,通过研究会聚柱面波的反射相移,根据反射相移在Bragg禁带中的尖锐突变来确定微腔结构的共振模。较之其他计算方法,相移方法操作简单,图像直观,且行之有效。研究表明,随着中心圆柱形微腔的半径增大,方位指数相同的两微腔共振模之间会发生相互作用,在腔模光子能量相近时耦合效应最强,导致双微腔的耦合共振模曲线出现反交叉现象。最后给出了耦合共振模的空间电磁场分布。
A Bragg microcavity structure is designed by using cylindrical medium, which contains two microcavities, cylindrical and circular. Based on the transfer matrix theory, the resonant phase of the microcavity structure is determined by studying the reflection phase shift of the converging cylindrical wave and the sharp mutation in the Bragg bandgap by reflection phase shift. Compared with other calculation methods, the phase shift method is simple, intuitive and effective. The results show that the interaction between two microcavity resonant modes with the same azimuthal index will occur as the radius of the central cylindrical microcavity increases, and the coupling effect will be the strongest when the cavity photon energy is similar, resulting in the coupling resonance of the two microcavities Cross-shaped curve appears anti-cross phenomenon. Finally, the space electromagnetic field distribution of coupled resonant modes is given.