Title :
Full-vectorial beam-propagation method based on the McKee-Mitchell scheme with improved finite-difference formulas
Author :
Yamauchi, Junji ; Takahashi, Gen ; Nakano, Hisamatsu
Author_Institution :
Coll. of Eng., Hosei Univ., Tokyo, Japan
fDate :
12/1/1998 12:00:00 AM
Abstract :
The alternating-direction implicit method proposed by McKee-Mitchell is applied to full-vectorial paraxial wave equations. The high computational efficiency of the present method is demonstrated in comparison with an iterative solver. Novel finite-difference formulas that take into account discontinuities of the fields are proposed and employed to ensure second-order accuracy. Calculations regarding the effective index of rib waveguides show that the present results remarkably agree with values obtained from the modal transverse resonance method
Keywords :
finite difference methods; optical waveguide theory; optical waveguides; refractive index; rib waveguides; vectors; McKee-Mitchell scheme; alternating-direction implicit method; discontinuities; effective index; finite-difference formulas; full-vectorial beam-propagation method; full-vectorial paraxial wave equations; high computational efficiency; improved finite-difference formulas; iterative solver; modal transverse resonance method; rib waveguides; second-order accuracy; Computational efficiency; Convergence; Finite difference methods; Iterative methods; Optical beams; Optical waveguides; Partial differential equations; Refractive index; Resonance; Stability;
Journal_Title :
Lightwave Technology, Journal of
