TY - GEN A1 - Kettner, Benjamin T1 - The Pole Condition as Transparent Boundary Condition for Resonance Problems: Detection of Spurious Solutions N2 - When simulating isolated resonators, the application of transparent boundary conditions causes the approximated spectrum to be polluted with spurious solutions. Distinguishing these artificial solutions from solutions with a physical meaning is often difficult and requires a priori knowledge of the spectrum or the expected field distribution of resonant states. We present an implementation of the pole condition that distinguishes between incoming and outgoing waves by the location of the poles of their Laplace transform as transparent boundary condition. This implementation depends on one tuning parameter. We will use the sensitivity of the computed solutions to perturbations of this parameter as a means to identify spurious solutions. To obtain global statements, we will combine this technique with a convergence monitor for the boundary condition. KW - resonance problems KW - transparent boundary condition KW - pole condition KW - Helmholtz equation KW - spurious solutions Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1058 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-10580 ER -