Title :
A Novel Nonparaxial Time-Domain Beam-Propagation Method for Modeling Ultrashort Pulses in Optical Structures
Author :
Masoudi, Husain M.
Author_Institution :
King Fahd Univ. of Pet. & Miner., Dhahran
Abstract :
In this paper, a new nonparaxial time-domain beam-propagation method (TD-BPM) based on Pade approximant for modeling ultrashort optical pulses has been proposed and verified. The high efficiency of the technique in modeling long device interaction comes from solving the TD wave equation along one direction and allowing the time window to follow the evolution of the pulse. The accuracy of the method was tested in three different environments of homogenous and nondispersive medium, metallic, and dielectric waveguides and then was applied to model ultrashort pulse propagation in a directional-coupler device. The characterization of the technique shows excellent performance in terms of accuracy, efficiency, and stability, which the conventional paraxial TD-BPM failed to achieve. The new TD-BPM is particularly well suited for the study of unidirectional propagation of compact ultrashort temporal pulses over long distances in waveguide structures. [All rights reserved Elsevier].
Keywords :
dielectric waveguides; finite difference time-domain analysis; high-speed optical techniques; optical directional couplers; optical waveguide theory; Pade approximant; TD wave equation; dielectric waveguides; finite difference time-domain analysis; metallic waveguides; nonparaxial time-domain beam-propagation; optical directional coupler; optical waveguide theory; ultrashort optical pulse propagation; Circuits; Finite difference methods; Nonlinear optics; Optical propagation; Optical pulses; Optical waveguide components; Optical waveguide theory; Optical waveguides; Partial differential equations; Time domain analysis; Beam propagation method (BPM); PadÉ approximant; finite-difference (FD) analysis; modeling; numerical analysis; optical waveguide theory; partial differential equation; ultrashort pulse propagation;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2007.904425