Title :
An adaptive approach to the numerical solution of Fresnel´s wave equation
Author_Institution :
Heinrich-Hertz-Inst. fur Nachrichtentech. Berlin, Germany
fDate :
9/1/1993 12:00:00 AM
Abstract :
An adaptive approach to the numerical solution of the wave propagation in integrated optics devices with 1-D cross sections is described. Fresnel´s approximation of the exact wave equation resulting from Maxwell´s equations is considered. A criterion to estimate the validity of this approximation is derived. Discretization in longitudinal direction with step-size control leads to a stationary subproblem for the transversal field distribution, which is then handled by an adaptive finite-element method. Thus, full adaptivity of the algorithm is realized. The numerical examples focus on waveguide tapers
Keywords :
approximation theory; finite element analysis; integrated optics; optical waveguide theory; Fresnel´s approximation; Fresnel´s wave equation; Maxwell´s equations; adaptive approach; adaptive finite-element method; approximation; exact wave equation; integrated optics devices; longitudinal direction; numerical solution; stationary subproblem; step-size control; transversal field distribution; wave propagation; waveguide tapers; Adaptive control; Finite element methods; Integrated optics; Maxwell equations; Optical devices; Optical propagation; Optical sensors; Optical waveguides; Partial differential equations; Programmable control;
Journal_Title :
Lightwave Technology, Journal of
