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提出应用“超格子构造法”研究光子晶体光纤(PCF)的传输特性。电场用正交完备的厄米 高斯(Hermite Gauss)函数展开,有中心缺陷的周期性分布的介电常数用两组不同周期的介电常数分布迭加构成超格子,每组介 电常数都用余弦函数展开,然后利用波动方程及厄米 高斯函数的正交性,得到光子晶体光纤的传输特性(模场分 布、双折射、色散)。模式双折射的大小可用以衡量该算法的精度。
Proposed the application of “super lattice construction method” to study the photonic crystal fiber (PCF) transmission characteristics. The electric field is developed by an orthogonal complete Hermite Gaussian function. The periodically distributed dielectric constant with central defects is superposed with dielectric constant distributions of two different periods, each of which has a dielectric constant Then the cosine function is expanded. Then the propagation properties (mode field distribution, birefringence, dispersion) of photonic crystal fiber are obtained by using the wave equation and the orthogonality of Hermite function. The size of the mode birefringence can be used to measure the accuracy of the algorithm.