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Nanophotonic resonance modes with the nanobem toolbox

Ulrich Hohenester, Nikita Reichelt, Gerhard Unger

2022Computer Physics Communications24 citationsDOIOpen Access PDF

Abstract

nanobem is a matlab toolbox for the solution of Maxwell's equations for nanophotonic systems and the computation of resonance modes, sometimes also referred to as quasinormal modes or resonance states. It is based on a Galerkin scheme for the boundary element method, using Raviart-Thomas shape elements for the representation of the tangential electromagnetic fields at the particle boundary. The toolbox is written in an object-oriented manner with the focus on clarity rather than speed, and has been developed and tested for small to intermediate problems with a few thousand boundary elements. The computation of the resonance modes uses the contour integral method of Beyn. Program Title: nanobem CPC Library link to program files: https://doi.org/10.17632/63cwtv93ry.1 Licensing provisions: GNU General Public License v3 Programming language: Matlab Nature of problem: Solve Maxwell's equations and compute resonance modes for optical resonators and nanophotonic systems with linear, homogeneous, and local materials separated by abrupt interfaces. Solution method: Galerkin implementation of boundary element method approach using Raviart-Thomas shape elements, and contour integral method for the computation of nanophotonic resonance modes. Additional comments including restrictions and unusual features: Toolbox has been developed and tested for small to intermediate problems with a few thousand boundary elements.

Topics & Concepts

Computer scienceNanophotonicsBoundary element methodBoundary (topology)Maxwell's equationsResonance (particle physics)ComputationBoundary value problemGalerkin methodPhysicsFinite element methodMathematical analysisMathematicsAlgorithmOpticsClassical mechanicsQuantum mechanicsThermodynamicsPlasmonic and Surface Plasmon ResearchOptical Coatings and GratingsElectromagnetic Simulation and Numerical Methods
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