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Reconstruction of refractive index profile of planar waveguide using inverse WKB method

机译:使用逆WKB方法重建平面波导的折射率分布

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A characterization method of planar waveguides, namely m- line measurement has been utilized to reconstruct refractive index profile in planar waveguide. This method gives some values of incident angle that can be coupled in to waveguide, which after some mathematical calculations can provide its mode indices. To reconstruct the refractive index profile from mode indices as a function of normalized film thickness we use Inverse Wentzel-Kramers-Brillouin method. Furthermore, we select the value of n$-0$/ that give the smoothest refractive index profile by finding the minimum sum of the squares of second differences of the profile. For this purpose, we implement reiterative, trial and error method on some values above the measured fundamental effective index value as a guess of the surface index. The result has been smoothed using curve fitting algorithm to exponential and Gaussian profile. The result confirm that index profile of planar waveguide can be reconstructed mathematically and the profile can be obtained more accurate by the proposed curve fitting technique than the basic IWKB method.
机译:平面波导的表征方法,即M-Line测量已被利用在平面波导中重构折射率分布。该方法给出了一些可以耦合到波导的入射角的值,这在一些数学计算之后可以提供其模式指标。根据归一化膜厚度的函数从模式指标重建折射率曲线,我们使用反向坡kramers-brillouin方法。此外,我们通过查找轮廓的第二个差异的最小总和,选择N $ -0 $ /的值。为此目的,我们在测量的基本有效索引值上方的某些值上实现重复性,试验和错误方法作为猜测表面索引。使用曲线拟合算法对指数和高斯配置文件进行了平滑的结果。结果证实,可以在数学上重建平面波导的索引轮廓,并且通过所提出的曲线拟合技术可以比基本IWKB方法更准确地获得轮廓。

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