An adaptive approach to the numerical solution of Fresnel´s wave equation

Author

Schmidt, F.

Author_Institution

Heinrich-Hertz-Inst. fur Nachrichtentech. Berlin, Germany

Volume

11

Issue

9

fYear

1993

fDate

9/1/1993 12:00:00 AM

Firstpage

1425

Lastpage

1434

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;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.241932

Filename

241932