Title :
Improved three-point formulas considering the interface conditions in the finite-difference analysis of step-index optical devices
Author :
Chiou, Yih-Peng ; Chiang, Yen-Chung ; Chang, Hung-Chun
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
A general relation, considering the interface conditions, between a sampled point and its nearby points is derived. Making use of the derived relation and the generalized Douglas scheme, the three point formulas in the finite-difference modeling of step-index optical devices are extended to fourth order accuracy irrespective of the existence of the step-index interfaces. With numerical analysis and numerical assessment, several frequently used formulas are investigated.
Keywords :
finite difference methods; optical waveguide theory; refractive index; finite-difference analysis; finite-difference modeling; fourth order accuracy; generalized Douglas scheme; interface conditions; numerical assessment; sampled point; step-index optical devices; three-point formulas; Design automation; Finite difference methods; Finite wordlength effects; Hardware; Numerical analysis; Optical devices; Optical refraction; Optical variables control; Optical waveguides; Permittivity;
Journal_Title :
Lightwave Technology, Journal of
