Full-wave analysis of dielectric waveguides at a given frequency |
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| Authors: | L Vardapetyan L Demkowicz |
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| Institution: | The Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, Taylor Hall 2.400, Austin, Texas 78712 ; The Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, Taylor Hall 2.400, Austin, Texas 78712 |
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| Abstract: | New variational formulation to compute propagation constants is proposed. Based on it, vector finite element method is proved to exclude spurious modes provided finite elements possess discrete compactness property. Convergence analysis is conducted in the framework of collectively compact operators. Reported theoretical results apply to a wide class of vector finite elements including two families of Nedelec and their generalization, the  -edge elements. Numerical experiments fully support theoretical estimates for convergence rates. |
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| Keywords: | Maxwell's equations waveguide eigenmodes full-wave analysis $hp$ finite elements |
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