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Abstract
A finite-element-based vectorial optical mode solver is used to analyze microstructured optical waveguides. By employing 1st-order Bayliss-Gunzburger-Turkel-like transparent boundary conditions, both the real and imaginary part of the modal indices can be calculated in a relatively small computational domain. Results for waveguides with either circular or non-circular microstructured holes, solid- or air-core will be presented, including the silica-air Bragg fiber recently demonstrated by Vienne et al. (Post-deadline Paper PDP25, OFC 2004). The results of solid-core structures are in good agreement with the results of other methods while the results of air-core structure agree to the experimental results.
Highlights
Since the introduction of the holey fiber [1], various waveguiding structures that utilize the arrangement of microstructured holes [2] or thin layers [3] have been realized
In order to illustrate the ability of the mode solver to model the microstructured waveguides, we choose several types of structures as our samples, including those that employ solidmaterial and air as the core, with either circular or non-circular shape of microstructured holes
The 1st-order BGT-like transparent boundary conditions (TBC) is applied to the curved boundary while symmetry boundary conditions which consist of a perfect electric conductor (PEC) and/or a perfect magnetic conductor (PMC) are applied at the two boundaries coinciding with the structure symmetry planes
Summary
Since the introduction of the holey fiber [1], various waveguiding structures that utilize the arrangement of microstructured holes [2] or thin layers [3] have been realized. The Fourier decomposition method with adjustable boundary conditions (FDM-ABC) is suitable for calculation of both the real and imaginary part of the modal indices of structure with either circular or non-circular holes arranged in a circularly oriented setting and homogeneous exterior domain. Not being demonstrated in this paper; in principle, structures with arbitrary cross-section shapes can be handled, including those with non-circularly oriented hole arrangements and quasihomogeneous exterior domain. This feature might be useful in the future, if the advancement of the fabrication technology would enable the application of the same principle of waveguide engineering in integrated optics
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