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利用光学传输矩阵法研究了一维光子晶体谐振腔的谐振波长、品质因子和缺陷层厚度之间的变化关系,发现谐振腔内存在不同级次的谐振模式;对于同一级次的谐振模式,品质因子在某一波长(λm)时达到极大值,该波长恰为光子晶体反射率最高处所对应的波长,也是该光子晶体的布拉格共振反射波长;在λm处,品质因子随级次的增加而线性增加;品质因子随周期层数增加而指数增加,但其增长因子与模式级次无关,也与周期数无关,只与谐振波长有关;对于所有级次的谐振模式,增长因子在λm处达到最大值。这对提高品质因子、减小谐振腔体积、优化谐振腔有重要意义。
The relationship between the resonance wavelength, the quality factor and the thickness of the defect layer in a one-dimensional photonic crystal resonator was studied by using the optical transfer matrix method. It was found that there were different resonant modes in the resonator. For the same resonance mode, the quality The factor reaches a maximum at a certain wavelength (λm), which is exactly the wavelength corresponding to the highest reflectance of the photonic crystal and the Bragg resonance reflection wavelength of the photonic crystal. At λm, the quality factor increases with the increase of the order Linearly increasing; the quality factor increases exponentially with the increase of the number of periodic layers, but its growth factor has nothing to do with the order of the mode, and also has nothing to do with the number of cycles, only with the resonant wavelength; for all levels of the resonant mode, the growth factor reaches λm Maximum This is of great significance to improving the quality factor, reducing the cavity volume and optimizing the cavity.