Correction of the numerical reflection coefficient of the finite-difference time-domain method for efficient simulation of vertical-cavity surface-emitting lasers
Correction of the numerical reflection coefficient of the finite-difference time-domain method for efficient simulation of vertical-cavity surface-emitting lasers
复制标题
DOI：
10.1364/josab.20.001401
复制
发表时间：
2003-07
影响因子：
1.9
通讯作者：
A. Christ;N. Kuster;M. Streiff;A. Witzig;W. Fichtner
中科院分区：
文献类型：
--
作者：
A. Christ;N. Kuster;M. Streiff;A. Witzig;W. Fichtner
传统上，人们可以通过平均两侧的材料特性来计算材料界面处的时域有限差分算法的更新系数，这导致取决于网格分辨率的反射的数值不准确。我们提出了一种新的方法来计算更新系数，使算法完全满足边界条件的优化频率，这允许显着增加网格间距，同时限制数值误差。使用所提出的方法，我们减少了垂直腔面发射激光器的全波模拟的计算费用，这样就可以处理大型结构，而不需要利用旋转对称性。该方法是证明与几个例子的帮助。
Traditionally, one can calculate the update coefficients of the finite-difference time-domain algorithm at material interfaces by averaging the material properties of both sides, which leads to numerical inaccuracies of the reflection depending on the grid resolution. We propose a novel method to calculate the update coefficients such that the algorithm exactly fulfills the boundary conditions at a frequency of optimization, which allows a significant increase in grid spacing while limiting the numerical error. Using the proposed method, we reduced the computational expenses for the full-wave simulation of vertical-cavity surface-emitting lasers such that large structures can be treated without the need to exploit rotational symmetry. The method is demonstrated with the help of several examples.