Abstract

Three different methods have been used to analyse periodic three-dimensional Bragg-reflector structures and a comparison of the results obtained is drawn. The work has shown that the least-squares boundary residual (LSBR) method, when combined with the finite-element method (FEM), both being vectorial approaches, offers an accurate model of the Bragg-reflecting pair, taking into account both the variation in indices and the structural dimensions at the waveguide junctions. This work demonstrates that the rigorous LSBR method is both accurate and versatile in its application and is thus more appropriate for the characterization of practical photonic devices incorporating a distributed Bragg-reflector (DBR) section, in spite of the slightly increased computational cost associated with it.

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