Title :
Improved finite-difference beam-propagation method based on the generalized Douglas scheme and its application to semivectorial analysis
Author :
Yamauchi, Junji ; Shibayama, Jun ; Saito, Osamu ; Uchiyama, Osamu ; Nakano, Hisamatsu
Author_Institution :
Coll. of Eng., Hosei Univ., Tokyo, Japan
fDate :
10/1/1996 12:00:00 AM
Abstract :
The generalized Douglas scheme for variable coefficients is applied to the propagating beam analysis. Once the alternating direction implicit method is used, the truncation error is reduced in the transverse directions compared with the conventional Crank-Nicholson scheme, maintaining a tridiagonal system of linear equations. Substantial improvement in the accuracy is achieved even in the TM mode propagation. As an example of the semivectorial analysis, the propagating field and the attenuation constant of a bent embedded waveguide with a trench section are calculated and discussed
Keywords :
bending; error analysis; finite difference methods; integrated optics; integrated optoelectronics; optical waveguide theory; vectors; Crank-Nicholson scheme; TM mode propagation; alternating direction implicit method; attenuation constant; bent embedded waveguide; finite-difference beam-propagation method; generalized Douglas scheme; integrated optical circuit design; linear equations; propagating beam analysis; propagating field; semivectorial analysis; transverse directions; trench section; tridiagonal system; truncation error; variable coefficients; Circuits; Equations; Finite difference methods; Finite wordlength effects; Helium; Optical attenuators; Optical design; Optical propagation; Optical sensors; Optical waveguides;
Journal_Title :
Lightwave Technology, Journal of
