Abstract
A two-dimensional (2D) finite element field solver has been written which allows quasi-periodic boundary conditions, making it ideal for calculating traveling waves in periodic structures. Special elements are used at corners for improved accuracy. Comparisons with URMEL, URMEL-T, SUPERFISH, and analytic solutions are made, showing that this code yields better eigenvalues than the URMELs despite the use of a coarser mesh. The 2D solver is capable of finding transverse electric (TE) and transverse magnetic (TM) modes in axisymmetric structures. The structures can include symmetry and periodic boundaries. The algebraic eigenvalue solver uses the inverse power method with an eigenvalue shift, which yields the mode with eigenvalue closest to a specified target eigenvalue. >
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