Simulação por elementos finitos da propagação escalar de feixes opticos

AUTOR(ES)
DATA DE PUBLICAÇÃO

1998

RESUMO

This thesis describes the computer modelling of a wide range of optical waveguides, for integrated optics applications. The modelling described here involves the numerical solution of suitable Maxwell wave equations, such as Helmholtz and Fresnel. Within this context, the Beam Propagation Method (BPM) ar marching methods, can be divided into two general kinds: the fulloperator methods (FOM s) and the split-operator methods (SOM s). Recent1y, serious instability and inaccuracy problems were pointed out for the conventional 3-D split-operator finite-element scheme. The present algorithm overcomes these problems even though preserving all the attractive features of the split-operator technique. Due to the finite-element discretization, computer resources can be optimized by exploiting the use of adaptive meshes and sparse- matrix techniques. The implementation of the transparent boundary conditions (TBC) into the wave equation is also described. TBC are necessary to supress the undesirable nonphysical reflections from the computational window edges, and also to optimize the size of the numerical window. Furthermore nonparaxial propagation based on Padé aproximation is described. Current and novel numerical 2-D and 3-D schemes, based on finite element methods, are presented and discussed. The finite element method permits, among other advantages, the use of arbitrary adaptive meshes. Finally, the scope for further development of the numerical methods introduced here, has been included as conclusion remarks. That includes semi-vectorial, vectorial spatial propagation, soliton propagation, modelling of alternative integrated optical devices and employment of meshes of whole arbitrary boundary

ASSUNTO(S)

simulação (computadores) metodo dos elementos finitos camada limite propagação guias de onda oticos

ACESSO AO ARTIGO

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