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Modeling of the polarization behavior of elliptical surface-relief VCSELs

机译:椭圆形浮雕VCSEL的偏振行为建模

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We undertake a theoretical study of the polarization behavior and mode structure of Vertical-Cavity Surface-Emitting Lasers (VCSELS) with an elliptical surface relief. The aim of the relief is twofold, first to enhance the single mode operation by introducing spatially distributed losses, and second, to enhance polarization stability by making these losses anisotropic. First, we use an analytical variational approach, for the two fundamental VCSEL modes within a Gaussian and weak guidance approximation. As a second approach we use a more refined numerical technique based on vectorial plane wave decomposition with periodic boundary conditions, which we formulate to include material anisotropy. Our studies show that whereas the polarization direction is governed by the orientation of the index ellipsoid, the selection of the lasing LP mode is mainly determined by the anisotropy in the mirror losses introduced by the elliptical surface relief.
机译:我们对具有椭圆形表面起伏的垂直腔表面发射激光器(VCSELS)的偏振行为和模式结构进行了理论研究。减轻的目的是双重的,首先是通过引入空间分布的损耗来增强单模操作,其次是通过使这些损耗各向异性来增强极化稳定性。首先,对于高斯和弱导频近似内的两个基本VCSEL模式,我们使用解析变分方法。作为第二种方法,我们使用基于矢量平面波分解且具有周期性边界条件的更精细的数值技术,将其公式化为包括材料各向异性。我们的研究表明,偏振方向由折射率椭球的方向控制,而激光LP模式的选择主要取决于椭圆形表面起伏所引起的镜面损耗的各向异性。

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