标题： 周期性介质中切连科夫辐射的空间分布 显示英文标题

标题： Spatial distribution of Cherenkov radiation in periodic dielectric media

摘要： 周期介质的非平凡色散关系影响切连科夫辐射的频谱和空间分布。 我们提出了一种在任意三维和二维介电介质内部远场区域中切连科夫辐射空间分布的理论。 得到了以布洛赫模展开形式表示的远场的简单解析表达式。 给出了二维光子晶体中切连科夫辐射的数值示例。 所发展的解析理论与数值严格的时域有限差分计算结果表现出良好的一致性。 显示英文摘要

摘要： The nontrivial dispersion relation of a periodic medium affects both the spectral and the spatial distribution of Cherenkov radiation. We present a theory of the spatial distribution of Cherenkov radiation in the far-field zone inside arbitrary three- and two-dimensional dielectric media. Simple analytical expressions for the far-field are obtained in terms of the Bloch mode expansion. Numerical examples of the Cherenkov radiation in a two-dimensional photonic crystal is presented. The developed analytical theory demonstrates good agreement with numerically rigorous finite-difference time-domain calculations.