An Efficient 3-D Semivectorial Horizontally Wide-Angle Beam-Propagation Method

作者：Wu, Shengbao; Xiao, Jinbiao^*

来源：IEEE Journal of Quantum Electronics, 2016, 52(9): 6100308.

DOI：10.1109/JQE.2016.2593258

• Alternating direction implicit scheme
• beam propagation method (BPM)
• integrated optics
• simulation window-cutting
• wide angle

An efficient 3-D semivectorial horizontally wide-angle beam-propagation method (WA-BPM) based on the alternating direction implicit (ADI) scheme is proposed, where only the paraxial term in the vertical direction is considered. The present formulation reduces the splitting error to the second order and shows good compatibility with previously developed WA-BPMs. A block matrix decomposition process and a simulation window-cutting scheme are utilized to further improve the efficiency of the WA-BPM. Then, by applying Pade approximation to the resulting operator, an efficient ADI scheme that can be solved by the Thomas algorithm is constructed. Alternatively, the resulting operator can be approximated by the Denman-Beavers iterative scheme, leading to an ADI scheme with faster convergence rate and reasonable efficiency. Results from several numerical examples show the effectiveness of the present WA-BPM.

• 出版日期2016-9
• 单位东南大学