Reflection from a Grating of Quasi-Randomly Distributed Fibers. Integral Equation Representation vs. Homogenization Approach

H. Roussel, F. Jouvie, W. Tabbara
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Abstract

A periodic set of parallel dielectric fibers is embedded in a lossless dielectric slab backed by an infinitely conducting plane. The period of the grating is such that only the zero order mode exists. Then the array behaves like a homogeneous medium. Each fiber is quasi-randomly distributed in the reference cell. We compare the average reflectivity obtained by the integral representation to a homogenization approach.
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准随机分布光纤光栅的反射。积分方程表示与均匀化方法
一组周期性的平行介电纤维嵌入在以无限导电平面为背衬的无损介电板中。光栅的周期使得只有零阶模式存在。那么这个阵列就像一个均匀的介质。每个光纤在参考单元中是准随机分布的。我们比较了由积分表示得到的平均反射率与均匀化方法。
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