梯度平面波导的频域数值分析

V. Fitio, I. Yaremchuk, A. Bendzyak, Y. Bobitski
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引用次数: 1

摘要

提出了一种计算平面波导局域模式传播常数的数值方法,并求解了稳态Schrödinger方程。该方法基于波动方程的傅里叶变换。结果,我们得到一个积分方程,其中的积分用求和代替。最后,我们得到了具有特征值和特征向量的线性代数问题。通过实例验证了该方法的有效性。该方法数值稳定,计算精度高。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical Analysis of Gradient Planar Waveguides in Frequency Domain
Developed a numerical method for calculating propagation constants of localized modes of planar waveguides, as well as the solution of the stationary Schrödinger equation. The method is based on the Fourier transform of the wave equation. As a result, we obtain an integral equation in which the integral is replaced by summation. Ultimately, we obtain the problem of linear algebra with eigenvalues and eigenvectors. The method is verified on many examples. It is numerically stable and provides high accuracy of calculation (Abstract)
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