Title :
Stable and noniterative bidirectional beam propagation method
Author :
El-Refaei, Hatem ; Yevick, David ; Betty, Ian
Author_Institution :
Dept. of Electr. & Comput. Eng., Queen´´s Univ., Kingston, Ont., Canada
fDate :
4/1/2000 12:00:00 AM
Abstract :
We present a family of bidirectional beam propagation methods based on the application of Pade approximants to the square-root expressions appearing in the transition operator. We show that the numerical instability associated with the use of real Pade primes can be removed by using branch-cut rotation of the square-root operator.
Keywords :
light reflection; numerical stability; optical feedback; optical waveguide theory; refractive index; Pade approximants; bidirectional beam propagation methods; noniterative bidirectional beam propagation method; numerical instability; ranch-cut rotation; real Pade primes; square-root expressions; square-root operator; stable bidirectional beam propagation method; transition operator; Electromagnetic propagation; Integrated optics; Laser modes; Optical devices; Optical propagation; Optical reflection; Optical refraction; Optical variables control; Optical waveguides; Transmission line matrix methods;
Journal_Title :
Photonics Technology Letters, IEEE
