杂质吸收对一维声子晶体滤波器设计的影响

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振动与冲击 ›› 2009, Vol. 28 ›› Issue (1) : 84-87.

论文

杂质吸收对一维声子晶体滤波器设计的影响

刘启能

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Effect of impurity absorption on the 1D photonic crystal filters

LIU Qi-neng

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文章历史 +

摘要

为了研究杂质吸收对一维声子晶体滤波器设计的影响，引入复波数并推导出一维掺杂声子晶体的转移矩阵，计算了一维掺杂声子晶体的透射系数随衰减系数的变化特征。得出：滤波透射峰的峰值随杂质的衰减系数增加而迅速减小，滤波透射峰的半高宽随衰减系数增加而增大。滤波透射峰的峰值和半高宽都随吸收杂质的厚度的增加而减小。在设计声子晶体滤波器时，必须考虑杂质吸收这一重要因素，应选择衰减系数小于0.0005k的掺杂材料,并且杂质的厚度应小于一个波长。

Abstract

For studying the influence of impurity absorption on the 1D photonic crystal filter, the complex wave number is adopted, the transfer matrix of the impurity-doped 1D photonic crystal is inferred ,and variety feature of attenuation coefficient with the transmission coefficient in the impurity-doped 1D photonic crystal is calculated. Worth biggest of the defect mode lowers quickly with the attenuation coefficient increment, FWHM of the defect mode increases with the attenuation coefficient increment. The worth biggest and FWHM of defect mode lowers with the impurity thickness increment. Have to consider the absorption of the impurity quality while design filter, the attenuation coefficient should less than 0.0005k and the impurity thickness should less than a wavelength.