论文标题

在两个耦合平行光学纳米纤维的引导正常模式下,田地的空间分布

Spatial distributions of the fields in guided normal modes of two coupled parallel optical nanofibers

论文作者

Kien, Fam Le, Ruks, Lewis, Chormaic, Sile Nic, Busch, Thomas

论文摘要

我们研究了两个耦合的平行光学纳米纤维的引导正常模式中磁场的横截面曲线和空间分布。我们表明,在两个相同的纳米纤维的引导正常模式下,场的分布是相对于径向主轴对称或反对称的,在纤维的横截面平面中的切向主轴。相对于主轴的磁场成分的对称性与电场成分的对称性相反。我们表明,对于甚至$ \ Mathcal {e} _z $ - cosine模式,电强度分布在纤维之间的区域中占主导地位,在两纤维中心的鞍点。同时,在奇数$ \ Mathcal {e} _z $ -Sine模式的情况下,两纤维中心的电强度分布的局部最小值完全为零。我们发现,当纤维分离距离很小并且光纤半径很小或光波长很大时,耦合模式理论的结果与确切模式理论之间的差异很大。我们表明,在两个纳米纤维不完全相同的情况下,强度分布是径向主轴的对称性和对切向主轴的不对称的。

We study the cross-sectional profiles and spatial distributions of the fields in guided normal modes of two coupled parallel optical nanofibers. We show that the distributions of the components of the field in a guided normal mode of two identical nanofibers are either symmetric or antisymmetric with respect to the radial principal axis and the tangential principal axis in the cross-sectional plane of the fibers. The symmetry of the magnetic field components with respect to the principal axes is opposite to that of the electric field components. We show that, in the case of even $\mathcal{E}_z$-cosine modes, the electric intensity distribution is dominant in the area between the fibers, with a saddle point at the two-fiber center. Meanwhile, in the case of odd $\mathcal{E}_z$-sine modes, the electric intensity distribution at the two-fiber center attains a local minimum of exactly zero. We find that the differences between the results of the coupled mode theory and the exact mode theory are large when the fiber separation distance is small and either the fiber radius is small or the light wavelength is large. We show that, in the case where the two nanofibers are not identical, the intensity distribution is symmetric about the radial principal axis and asymmetric about the tangential principal axis.

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