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.
© 2007 Optical Society of America
Original Manuscript: June 29, 2007
Revised Manuscript: September 26, 2007
Manuscript Accepted: October 1, 2007
Published: October 26, 2007
Yang Ji, Binfeng Yun, Guohua Hu, and Yiping Cui, "Highly efficient noniterative full-vectorial beam propagation method based on the alternating-direction implicit scheme," Opt. Lett. 32, 3194-3196 (2007)