Title :
A three-level finite difference beam propagation formulation
Author :
Park, Kwang-Kuen ; Chang, Hosung
Author_Institution :
Dept. of Radio Sci. & Eng., Hanyang Univ., Seoul, South Korea
Abstract :
The authors consider beam propagation in a linear and lossless parallel dielectric waveguide, extending the Crank-Nicholson method to a three-level finite difference scheme based on the Helmholtz wave equation. Stability analysis indicates that the three-level scheme is stable with small oscillatory behavior. However, simulation results exhibit conditional stability and the bigger the propagation step size, the more oscillation results
Keywords :
Helmholtz equations; dielectric waveguides; finite difference methods; numerical stability; waveguide theory; Crank-Nicholson method; Helmholtz wave equation; beam propagation; conditional stability; linear dielectric waveguide; lossless parallel dielectric waveguide; oscillatory behavior; propagation step size; stability analysis; three-level finite difference formulation; Arithmetic; Boundary conditions; Dielectric losses; Difference equations; Finite difference methods; Partial differential equations; Propagation constant; Propagation losses; Refractive index; Taylor series;
Conference_Titel :
Microwave Conference Proceedings, 1997. APMC '97, 1997 Asia-Pacific
Print_ISBN :
962-442-117-X
DOI :
10.1109/APMC.1997.654653
