Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver
Uranus, H.P. and Hoekstra, H.J.W.M. and Groesen van, E. (2004) Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver. Journal of Nonlinear Optical Physics & Materials, 13 (2). pp. 175-194. ISSN 0218-8635
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| Abstract: | A Galerkin finite element scheme furnished with 1st-order Bayliss–Gunzburger–Turkel-like boundary conditions is formulated to compute both the guided and leaky modes of anisotropic channel waveguides of non-magnetic materials with diagonal permittivity tensor. The scheme is formulated using transverse components of magnetic fields for nodal-based quadratic triangular elements. Results for some structures will be presented. The effectiveness of the boundary conditions will be illustrated using a step-index optical fiber with computational boundaries positioned near to the core, and the leaky modes computation of a leaky rib structure. In addition, a leaky mode solving of a six-hole "photonic crystal fiber" will be demonstrated. The computed results agree with their exact values (for optical fibers) and published results (for other structures).
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| Item Type: | Article |
| Copyright: | © 2004 World Scientic Publishing Company |
| Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/47544 |
| Official URL: | http://dx.doi.org/10.1142/S0218863504001840 |
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