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首页> 外文期刊>Journal of the Optical Society of America, A. Optics, image science, and vision >Modeling open nanophotonic systems using the Fourier modal method: generalization to 3D Cartesian coordinates
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Modeling open nanophotonic systems using the Fourier modal method: generalization to 3D Cartesian coordinates

机译：使用傅立叶模态方法建模开放纳米光电系统：泛化3D笛卡尔坐标

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摘要

Recently, an open geometry Fourier modal method based on a new combination of an open boundary condition and a non-uniform k-space discretization was introduced for rotationally symmetric structures, providing a more efficient approach for modeling nanowires and micropillar cavities [J. Opt. Soc. Am. A 33, 1298 (2016)]. Here, we generalize the approach to three-dimensional (3D) Cartesian coordinates, allowing for the modeling of rectangular geometries in open space. The open boundary condition is a consequence of having an infinite computational domain described using basis functions that expand the whole space. The strength of the method lies in discretizing the Fourier integrals using a non-uniform circular "dartboard" sampling of the Fourier k space. We show that our sampling technique leads to a more accurate description of the continuum of the radiation modes that leak out from the structure. We also compare our approach to conventional discretization with direct and inverse factorization rules commonly used in established Fourier modal methods. We apply our method to a variety of optical waveguide structures and demonstrate that the method leads to a significantly improved convergence, enabling more accurate and efficient modeling of open 3D nanophotonic structures. (C) 2017 Optical Society of America
机译：最近，引入了一种基于开放边界条件和非均匀k空间离散化的新组合的开放几何傅立叶模态方法，用于旋转对称结构，为纳米线和微储物腔提供更有效的方法[J。选择。 SOC。是。 A 33,1298（2016）]。这里，我们概括了三维（3D）笛卡尔坐标的方法，允许在开放空间中的矩形几何形状建模。开放边界条件是使用展开整个空间的基本函数来拥有无限计算域的结果。该方法的强度在于使用傅里叶k空间的非均匀圆形“掷镖靶”采样来离散傅里叶积分。我们表明我们的采样技术导致更准确地描述从结构泄漏的辐射模式的连续内容。我们还将我们的方法与常规和反向分解规则的传统离散化进行了比较，常用于建立的傅立叶模态方法。我们将方法应用于各种光波导结构，并证明该方法导致了显着改善的收敛性，从而实现了更准确和高效的开放式纳米光电结构建模。 （c）2017年光学学会

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