Title :
Improved multistep method for wide-angle beam propagation
Author :
Yamauchi, Junji ; Shibayama, Jun ; Sekiguchi, Minoru ; Nakano, Hisamatsu
Author_Institution :
Coll. of Eng., Hosei Univ., Tokyo, Japan
Abstract :
To improve a wide-angle beam propagation method using a finite-difference technique, the generalized Douglas scheme for variable coefficients is applied to a multistep method. A truncation error of O(/spl Delta/x)/sup 4/ is achieved in the transverse direction. The effectiveness of the present method is demonstrated in the analysis of a tilted step-index slab waveguide.
Keywords :
finite difference methods; optical waveguide theory; finite difference technique; generalized Douglas scheme; multistep method; tilted step-index slab waveguide; truncation error; variable coefficients; wide-angle beam propagation; Boundary conditions; Differential algebraic equations; Differential equations; Finite difference methods; Finite wordlength effects; Optical propagation; Optical waveguides; Refractive index; Slabs;
Journal_Title :
Photonics Technology Letters, IEEE
