Koshiba Masanori
Opt Express. 2023 Jul 3;31(14):23212-23213. doi: 10.1364/OE.493025.
To estimate the intercore crosstalk in uncoupled multicore fibers with cores' propagation constants perturbed by bending, twist, and structure fluctuations, in the paper [Opt. Express21, 5401 (2013)10.1364/OE.21.005401] entitled "Physical interpretation of intercore crosstalk in multicore fiber: effects of macrobend, structure fluctuation, and microbend," Hayashi et al. derived an intuitively interpretable expression of the average power-coupling coefficient as the convolution of the arcsine and Lorentzian distributions, and calculated the derived expression numerically by performing the fast Fourier transform. In the present paper, we derive a closed-form solution of the convolution of the arcsine and Lorentzian distributions, and point out that the closed-form analytical expression derived here is exactly equivalent to the previously reported closed-form expression.
为了估计在未耦合多芯光纤中，由于弯曲、扭转和结构波动而使纤芯传播常数受到扰动时的芯间串扰，在题为《多芯光纤中芯间串扰的物理解释：宏弯、结构波动和微弯的影响》的论文[《光学快报》21, 5401 (2013)10.1364/OE.21.005401]中，林等人推导出了一个直观可解释的平均功率耦合系数表达式，该表达式为反正弦分布和洛伦兹分布的卷积，并通过执行快速傅里叶变换对推导表达式进行了数值计算。在本文中，我们推导出了反正弦分布和洛伦兹分布卷积的闭式解，并指出这里推导的闭式解析表达式与先前报道的闭式表达式完全等效。
