Title :
Modified finite-difference formula for semivectorial H-field solutions of optical waveguides
Author :
Yamauchi, Junji ; Takahashi, Gen ; Nakano, Hisamatsu
Author_Institution :
Coll. of Eng., Hosei Univ., Koganei, Japan
Abstract :
The propagation constants of rib waveguides are analyzed by the imaginary distance beam-propagation method based on a newly derived finite-difference formula for semivectorial H-fields. The formula ensures a truncation error of O(/spl Delta/x)/sup 2/, provided that the discontinuity lies midway between two mesh points. Comparison with previously published results for a rib waveguide as a classical benchmark shows the effectiveness of the present method.
Keywords :
electromagnetic field theory; electromagnetic wave propagation; finite difference methods; optical waveguide theory; optical waveguides; rib waveguides; vectors; waveguide discontinuities; discontinuity; finite-difference formula; imaginary distance beam-propagation method; mesh points; modified finite-difference formula; optical waveguides; propagation constants; rib waveguides; semivectorial H-field solutions; semivectorial H-fields; truncation error; Equations; Finite difference methods; Finite wordlength effects; Image analysis; Optical beams; Optical propagation; Optical refraction; Optical variables control; Optical waveguides; Propagation constant;
Journal_Title :
Photonics Technology Letters, IEEE
