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在对周期性结构进行谐波分析的基础上,导出了非截面二维光子晶体排列矩形波导的本征值方程.基于此方程,可以对该类光子晶体波导的所有可能模式进行分析.分析认为,非截面二维光子晶体排列矩形波导内能存在的模式包括E(y),TEy,H(y)和TMy模式;改变波导高度,可以实现E(y)模式和H(y)模式与其他模式通带的完全分离.然而改变任一结构参数,都不能使E(y)和H(y)的各个模式通带,以及E(y)1模式和H(y)1模式的通带完全隔离.波导单模工作的带宽由E(y)1和E(y)2模式的低端截止频率决定.
Based on the harmonic analysis of the periodic structure, the eigenvalue equations of rectangular waveguides with non-sectioned two-dimensional photonic crystals are derived. Based on this equation, all the possible modes of such photonic crystal waveguides can be analyzed. (Y), TEy, H (y) and TMy modes can be present in rectangular waveguides with non-sectioned two-dimensional photonic crystals. Changing the height of the waveguide can achieve E (y) mode and H However, changing any of the structural parameters can not make the passbands of E (y) and H (y) and the passbands of E (y) 1 and H (y) 1 modes completely Isolation The bandwidth of the waveguide single-mode operation is determined by the low-end cutoff frequency of the E (y) 1 and E (y) 2 modes.