Title :
Time-domain finite-difference BPM with Pade approximants in time axis for analysis of circularly symmetric fields
Author :
Shibayama, J. ; Takahashi, T. ; Yamauchi, J. ; Nakano, H.
Author_Institution :
Coll. of Eng., Hosei Univ., Tokyo, Japan
fDate :
2/17/2000 12:00:00 AM
Abstract :
A Pade (2,2) approximant is applied to the time axis in the time-domain beam propagation method for circularly symmetric fields. By virtue of a multistep procedure, the Pade (2,2) operator is factored into a series of two Pade (1,1) operators. The present method offers substantial improvement in the analysis of pulse propagation. An upper limit of the time step is also discussed using the analysis of a fibre grating
Keywords :
diffraction gratings; finite difference time-domain analysis; optical fibre theory; optical waveguide theory; Pade (1,1) operators; Pade (2,2) approximant; Pade (2,2) operator; Pade approximants; circularly symmetric fields; fibre grating; multistep procedure; optical waveguides; pulse propagation; time axis; time step; time-domain beam propagation method; time-domain finite-difference beam propagation method; upper limit;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20000312
