Highly efficient noniterative full-vectorial beam propagation method based on the alternating-direction implicit scheme.
A novel alternating-direction implicit method is developed for the full-vectorial wave equation. The cross-coupling terms are split off from the full-vectorial propagation operator, and their inversions are performed separately by a noniterative method at each step. The present method shows good performance in efficiency by comparison with the iterative method. It can be proved that the algorithm is of second-order accuracy along the propagating direction. To examine the accuracy of the present algorithm, it is compared with previously presented formulas, and the results show that it maintains high accuracy.
Ji
Yang
Y
Advanced Photonics Center, College of Electronic Science and Engineering, Southeast University, Nanjing, China.
Yun
Binfeng
B
Hu
Guohua
G
Cui
Yiping
Y