Research of spectral characteristics for photonic crystals with fractal defects

Z. Dombrovskaya
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Abstract

Optical properties of photonic crystals (PhCs) can be controlled by changing physical parameters of materials and geometry of structure elements. At the present time a special attention is put to study tunable PhCs. Practically, their possible applications are based on reconstruction in temperature, magnetic or light fields. On the other hand, the simplest way for making changes in spectral characteristics (coefficients of transmission and reflection) is putting local inhomogeneities in structure. Due to fractal objects' unique property of self-similarity, a particular interest is represented by PhCs with fractal defects. Within the present paper, temperature tunable two-dimensional PhC with fractal defects of two main types, notably Cantor-based and Peano curve-based are considered.
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具有分形缺陷的光子晶体的光谱特性研究
光子晶体的光学性质可以通过改变材料的物理参数和结构元素的几何形状来控制。目前,对可调ph值的研究受到了特别的关注。实际上,它们可能的应用是基于温度、磁场或光场的重建。另一方面,改变光谱特性(透射和反射系数)的最简单方法是在结构中加入局部不均匀性。由于分形物体具有独特的自相似性质,具有分形缺陷的PhCs代表了一个特殊的兴趣。本文考虑了两种主要类型的分形缺陷,即基于cantor曲线和基于Peano曲线的温度可调二维PhC。
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