中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1824-1830.doi: 10.1088/1009-1963/15/8/033
• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇 下一篇
肖金标, 孙小菡
Xiao Jin-Biao(肖金标)† and Sun Xiao-Han(孙小菡)
摘要: A modified alternating direction implicit algorithm is proposed to solve the full-vectorial finite-difference beam propagation method formulation based on $H$ fields. The cross-coupling terms are neglected in the first sub-step, but evaluated and doubly used in the second sub-step. The order of two sub-steps is reversed for each transverse magnetic field component so that the cross-coupling terms are always expressed in implicit form, thus the calculation is very efficient and stable. Moreover, an improved six-point finite-difference scheme with high accuracy independent of specific structures of waveguide is also constructed to approximate the cross-coupling terms along the transverse directions. The imaginary-distance procedure is used to assess the validity and utility of the present method. The field patterns and the normalized propagation constants of the fundamental mode for a buried rectangular waveguide and a rib waveguide are presented. Solutions are in excellent agreement with the benchmark results from the modal transverse resonance method.
中图分类号: (Optical waveguides and couplers)