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采用平面波展开法和时域有限差分法,研究了光子晶体表面光波导的色散及光传输特性。研究结果表明,表面模的出现及其色散特性与表面介质柱的半径相关,色散曲线的斜率保持单调变化,并在最低或最高频率附近展现低群速度频率区。由于光子带隙和全内反射的共同影响,光场将沿晶体表面高效率地传输。研究结果为探索在光子晶体外部控制光传输具有重要的理论意义。
The dispersion and optical transmission characteristics of photonic crystal surface waveguides are studied by the plane wave expansion method and the finite difference time domain method. The results show that the appearance of the surface mode and its dispersion characteristics are related to the radius of the surface dielectric column. The slope of the dispersion curve keeps monotonically changing, and exhibits the lower group velocity frequency region near the lowest or the highest frequency. Due to the combined effect of photonic bandgap and total internal reflection, the optical field will be transmitted efficiently along the crystal surface. The research results have important theoretical significance for exploring the control of optical transmission outside the photonic crystal.