Title :
Stability issues in vector electric field propagation
Author :
Yevick, David ; Yu, Jun ; Bardyszewski, Witold ; Glasner, Moses
Author_Institution :
Dept. of Electr. Eng., Queen´´s Univ., Kingston, Ont., Canada
fDate :
6/1/1995 12:00:00 AM
Abstract :
Demonstrates that although standard paraxial and wide-angle vector field propagation techniques lead to divergences for sufficiently small grid-point spacings and large refractive index differences, stability may be restored through either certain Pade approximates to the propagation operator or suitable boundary conditions. The authors also introduce a novel alternating directional implicit method applicable to less divergent discretizations of the vector wave equation.<>
Keywords :
electric fields; finite difference methods; numerical stability; optical waveguide theory; refractive index; Pade approximates; alternating directional implicit method; boundary conditions; discretizations; grid-point spacings; propagation operator; refractive index; vector electric field propagation; vector wave equation; Boundary conditions; Eigenvalues and eigenfunctions; Finite difference methods; Optical attenuators; Optical propagation; Optical refraction; Optical waveguides; Partial differential equations; Refractive index; Stability;
Journal_Title :
Photonics Technology Letters, IEEE
