首页> 外文会议>Conference on Photonic Crystal Materials and Nanostructures; 20040427-20040429; Strasbourg; FR >Photonic Band Gap analysis based on the Dynamical Diffraction Theory and its application to multilayer structures
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Photonic Band Gap analysis based on the Dynamical Diffraction Theory and its application to multilayer structures

机译:基于动态衍射理论的光子带隙分析及其在多层结构中的应用

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Photonic band gap Crystals (PhC) are usually analyzed using the analogy between photon propagation in artificial periodic structures and electron wave propagation in real crystals. The forbidden band of photons is regarded as equivalent to the energy gap that electrons experience in crystals because of the periodic potential. On the other hand, electron propagation and electromagnetic wave diffraction in periodic solids, respectively developed into band-theory and Dynamical Diffraction Theory (DDT), are formally identical. It appears therefore natural to perform an analysis of the features of an electromagnetic phenomenon, as the PBG, in analogy to the most direct antecedent electromagnetic theory, the DDT, that historically has also represented the direct reference for the derivation of the band-theory of electrons. In this communication, we introduce an analysis of the features of PhCs in analogy with the DDT, underlining the differences between DDT classical application to the x-ray diffraction from real crystals and that from artificial crystals at optical wavelengths. In particular, the high contrast of material refractive indices in PhC makes inapplicable some approximations generally used in x-ray diffraction analysis. Moreover, we discuss in which cases DDT has to be generalized in order to overcome such limitations. The theoretical derivation carried out is validated by the good agreement with the experimental results obtained for very simple 1D photonic crystals, such as porous silicon multilayers and silicon nitride multilayers. The generalization of the proposed approach to the case of 2D and 3D photonic crystals is also discussed.
机译:通常使用人工周期结构中的光子传播与实际晶体中的电子波传播之间的类比来分析光子带隙晶体(PhC)。由于周期性电势,光子的禁带被认为等同于电子在晶体中经历的能隙。另一方面,分别发展为能带理论和动态衍射理论(DDT)的周期性固体中的电子传播和电磁波衍射在形式上是相同的。因此,似乎很自然地对电磁现象的特征进行了分析,就像PBG类似于最直接的先前电磁理论DDT一样,DDT历史上也代表了推导能带理论的直接参考。电子。在本通讯中,我们以类似于DDT的方式介绍了PhC的特征分析,强调了DDT经典应用在从实际晶体到人工晶体在光波长处的X射线衍射中的区别。尤其是,PhC中材料折射率的高对比度使得x射线衍射分析中通常使用的某些近似值不适用。此外,我们讨论了在哪些情况下必须推广DDT以克服此类限制。通过与非常简单的一维光子晶体(例如多孔硅多层和氮化硅多层)获得的实验结果的良好一致性,验证了进行的理论推导。还讨论了在2D和3D光子晶体情况下提出的方法的一般化。

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