【目的】推导三层对称膜(ABA)n结构可以等效为一层膜的情况。【方法】通过 MATLAB编程模拟得到了共振吸收峰,并通过改变组成光子晶体的材料的介质参数,分析了其对表面波的影响。【结果】给出等效光导纳和等效相厚度的公式,并讨论三层对称结构的表面波存在的色散关系。【结论】当 A,B层均为正折射率材料时,(ABA)n型光子晶体能带和禁带的位置和宽度随nB/nA 的比值而改变,且共振吸收峰的数目及位置也同样随之而改变。
[Objective]Surface waves of triply-symmetric mode (ABA)n structural photonic crys-tals are studied.[Methods]The resonance absorption spectra of photonic crystal materials are obtained with the help of MATLAB method,and various dielectric parameters are adapted to analyze their influence on surface waves.[Results]The formulas of equivalent light admittance and phase thickness are deduced,and the dispersion relation with the surface waves of the tri-ply-symmetric structure are discussed.[Conclusion]When both layers A and B are positive in-dex material,the positions and widths of the permitted/forbidden band of (ABA)n photonic crystals,as well as the numbers of resonance peaks,are varied with the value ofnB/nA.