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Resumen de Computing Floquet�Bloch modes in biperiodic slabs with boundary elements

Johannes Tausch

  • A new variational formulation for the boundary element computation of Floquet�Bloch solutions to the Helmholtz equation is derived. The method is applicable to geometries that are layered in the vertical and biperiodic in two horizontal directions. The discretization leads to a nonlinear Hermitian eigenvalue problem which is solved using a homotopy approach. Numerical examples demonstrate that with the boundary element approach a high accuracy can be achieved with a small number of degrees of freedom in the discretization.


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