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Analytical evaluation of chromatic dispersion in photonic crystal fibers

机译:光子晶体光纤中色散的分析评估

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摘要

We present a two-dimensional modal approach for the evaluation, in an analytical manner, of chromaticdispersion in any kind of optical fiber. It combines an iterative Fourier technique to compute the propagationconstant at any fixed wavelength and an analytical procedure to calculate its derivatives. The proposed formulation takes into account the effective anisotropy of the interfaces and allows us to deal with microstructured fibers, in general, and specifically with realistic photonic crystal fibers (PCFs), including arbitrary spatial refractive-index distributions of dispersive and absorbing materials. This fast and accurate numerical technique is extremely useful for both analysis and design. We show some results of analysis of PCFs with high anisotropy, and we also describe PCFs with new dispersive properties.
机译:我们提出了一种二维模态方法,以分析方式评估任何一种光纤中的色散。它结合了迭代傅立叶技术来计算在任何固定波长下的传播常数,并结合了一种分析程序来计算其导数。提出的配方考虑了界面的有效各向异性,使我们能够处理一般而言的微结构纤维,尤其是处理包括分散和吸收材料的任意空间折射率分布在内的实际光子晶体纤维(PCF)。这种快速而准确的数值技术对于分析和设计都非常有用。我们显示了具有高各向异性的PCF的分析结果,并且我们还描述了具有新分散特性的PCF。

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