One-dimensional photonic crystal: The Kronig-Penney model
One-dimensional photonic crystal: The Kronig-Penney model
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一维光子晶体：Kronig-Penney 模型
DOI：
10.1103/physrevb.68.045121
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发表时间：
2003
影响因子：
3.7
通讯作者：
S. Satpathy
中科院分区：
文献类型：
--
作者：
S. Mishra;S. Satpathy
我们将一维光子晶体的光子带结构问题用反射系数和透射系数表示，得到超越光子带方程。反射和透射系数可以通过使用标准传递矩阵法来评估。方程的结构揭示了带隙的存在，类似于电子能带结构问题中的Kronig-Penney模型。作为一个例子，光子带方程求解的简单情况下的“Kronig-Penney”的介电结构，由交替板的折射率n 1和n 2。
We formulate the photonic band-structure problem for a one-dimensional photonic crystal in terms of the reflection and transmission coefficients, obtaining a transcendental photonic band equation. The reflection and the transmission coefficients may be evaluated by using the standard transfer-matrix method. The structure of the equation reveals the existence of gaps, analogous to the Kronig-Penney model in the electronic band-structure problem. As an example, the photonic band equation is solved for the simple case of the "Kronig-Penney" dielectric structure, consisting of alternating slabs of refractive indices n 1 and n 2 .