应用传输矩阵法推导得到横磁波(TM)波斜入射到一维sinc函数型光子晶体时的反射系数、透射系数和电场、磁场表示式,在此基础上对由两个半有限光子晶体组成的异质结进行了细致全面的数值计算与分析,结果表明该异质结两侧的半有限光子晶体相当于负介电常数材料与负磁导率材料,满足匹配条件时塔姆态出现;通过减小两种介质层的光学厚度之比可以显著加宽横磁波(TM波)和横电波(TE波)的第一禁带宽度,同时第一禁带位置蓝移;当两种介质层折射率以相同倍率增大时,TM波和TE波的第一禁带宽度变化趋势相反,前者逐渐变宽,后者收缩变窄,第一禁带位置均发生红移;周期数和入射角对该异质结透射谱也有显著影响。 The transfer coefficient, electric field and magnetic field expressions of transverse magnetic (TM) wave incident on the one-dimensional sinc function photonic crystal are deduced by using the transfer matrix method. Based on this, the two half-finite photonic crystals The results show that the semi-finite photonic crystals on both sides of the heterojunction correspond to the negative dielectric constant material and the negative permeability material, and the Tm state appears when the matching condition is met. Reducing the optical thickness ratio of the two dielectric layers significantly widens the first forbidden band width of the transverse magnetic (TM) wave and the transverse electric wave (TE) while the first forbidden band position shifts blue. When the two medium layers refract When the rate is increased with the same rate, the first forbidden band width of TM wave and TE wave has the opposite trend. The former broadens, the latter shrinks and narrows, and the first band gap positions are redshifted. The number of cycles and the angle of incidence This heterojunction transmission spectrum also has a significant effect.