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Numerical calculation of cutoff frequencies of optical fibers by a variational technique

机译:用变分技术数值计算光纤截止频率

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摘要

A numerical method for calculating cutoff frequencies of modes of weakly guiding optical fibers is described. Starting from a properly constructed field representation, the method follows a variational approach to obtain an eigenvalue problem for the cutoff frequencies which can be easily solved by a standard numerical routine. The field representation uses an expansion in terms of the Laguerre-Gauss functions in the fiber core and limiting form for small arguments of modified Bessel functions in the fiber cladding. Fibers with power-law refractive index profiles and fibers with a profile showing a dip on the axis are analyzed. Results obtained for modes of arbitrary order (both azimuthal and radial) show that our method is very efficient and accurate.
机译:描述了一种计算弱导光纤模式的截止频率的数值方法。从正确构造的场表示开始,该方法遵循一种变分方法来获取截止频率的特征值问题,该问题可以通过标准数值例程轻松解决。现场表示使用了光纤纤芯中Laguerre-Gauss函数的扩展形式,以及光纤包层中经过修饰的Bessel函数的小自变量的极限形式。分析具有幂律折射率分布的光纤和具有在轴上出现倾角的分布的光纤。针对任意阶数模式(方位角和径向)的结果表明,我们的方法非常有效且准确。

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