采用平面波展开法和时域有限差分法研究了二维色散和各向异性磁化等离子体光子晶体的色散特性.当波矢在周期平面时,由于外加磁场的作用使TE模的色散曲线出现两个不同区域的平带,改变磁场的大小不但可以控制平带的位置,而且可以控制光子带隙的位置和大小.增大背景材料的介电常数,可以形成全方向光子带隙,随着背景材料介电常数的增加,带隙的中心位置降低但带隙宽度增加.当波矢偏离周期平面时,色散曲线不再分为TE和TM模,随着非周期平面波矢的增加,带隙位置上移,带隙宽度先增加随后基本保持不变.
Dispersion characteristics of two-dimensional dispersive and anisotropic-magnetized-plasma photonic crystals are studied using both the plane wave method and finite-difference time-domain method. When the wave vector lies in the periodic plane, due to the external magnetic field, two different regions of flat bands occur in the TE mode. Varying the values of external magnetic field will affect not only the location of flat bands, but also the position and size of band gaps. Increasing the background dielectric constant will make omnidirectional band gaps to be formed, and make the center of gaps reduced while making the width increase. When the wave vector lies in non-periodic plane, dispersion curves of magnetized plasma photonic crystal are no longer divided into TE and TM modes. With the increasing of the non-periodic wave vector, the location of gap shifts upward, and the gap width firstly increases and then varies little.