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New method for computation of band structures in 1D photonic crystals based on the Fresnel equations

机译:基于菲涅耳方程的一维光子晶体能带结构计算的新方法

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摘要

In this paper, we present a new method for calculation of band structure in one-dimensional bilayer photonic crystals, based on the Fresnel equations. We derive a new relation to obtain the band structure without using the Floquet theorem. It is shown that this relation can be simplified under the assumption that the single-path phase-shift acquired through the individual layers of the photonic crystal be equal to π/2. The results obtained by our method are compared with the ones obtained from the transfer matrix method to show that they are exactly identical.
机译:在本文中,我们基于菲涅耳方程,提出了一种计算一维双层光子晶体能带结构的新方法。我们推导了一个新的关系,从而无需使用Floquet定理即可获得能带结构。示出了在通过光子晶体的各个层获得的单路径相移等于π/ 2的假设下可以简化该关系。通过我们的方法获得的结果与通过传递矩阵法获得的结果进行比较,以表明它们是完全相同的。

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