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利用平面波展开法对由硅(Si)介质柱构成的二维正方晶格光子晶体在TM模式下的能带进行计算。构造了光子晶体微腔,利用时域有限差分法对该光子晶体微腔的谐振特性进行了数值模拟,得到了缺陷态模场分布。考虑硅的热膨胀效应和热光效应对硅性质的影响,引入到光子晶体微腔谐振模式的计算中,模拟计算了微腔谐振波长随温度的变化关系。结果表明,随着温度的升高光子晶体微腔的谐振波长增大,温度每升高1℃,波长向长波漂移6.7pm,而且具有良好的线性。光子晶体微腔的这种特性可以用于温度传感,具有一定的实用意义。
The energy band in TM mode of two-dimensional square lattice photonic crystal made of silicon (Si) dielectric column was calculated by plane wave expansion method. The photonic crystal microcavity was constructed, and the resonant characteristics of the photonic crystal microcavity were numerically simulated by the finite difference time domain method. The distribution of the mode field in the defect state was obtained. Considering the thermal expansion effect of silicon and the effect of thermo-optic effect on the properties of silicon, this paper introduces the calculation of resonant mode of microcavity in photonic crystal and simulates the variation of the resonant wavelength of microcavity with temperature. The results show that as the temperature increases, the resonant wavelength of the photonic crystal microcavity increases. When the temperature is increased by 1 ℃, the wavelength drifts to the long wavelength by 6.7pm and has a good linearity. Photonic crystal microcavity of this feature can be used for temperature sensing, has a certain practical significance.