Unified lattice sums accommodating multiple sublattices for solutions of the Helmholtz equation in two and three dimensions
Dominik Beutel, Ivan Fernandez‐Corbaton, Carsten Rockstuhl
Abstract
The authors derive expressions for lattice sums of solutions of the Helmholtz equation in two and three dimensions that can be efficiently evaluated in numerical implementations. The results are applicable to complex materials involving multiple sublattices, describing systems including metasurfaces and moire superlattices.
Topics & Concepts
Helmholtz equationLattice (music)ComputationHelmholtz free energyScatteringConvergent seriesPhysicsSeries (stratigraphy)Mathematical analysisMathematicsQuantum mechanicsPower seriesAcousticsBoundary value problemAlgorithmBiologyPaleontologyMetamaterials and Metasurfaces ApplicationsPhotonic Crystals and ApplicationsPlasmonic and Surface Plasmon Research