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Discontinuous Galerkin integral equation method for light scattering from complex nanoparticle assemblies.

V F Martín, D M Solís, D Jericó

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    |February 14, 2023
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a flexible discontinuous Galerkin integral equation method for analyzing plasmonic nanoparticle assemblies. The approach enhances accuracy and computational efficiency for complex electromagnetic simulations.

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    Area of Science:

    • Electromagnetics
    • Computational Physics
    • Materials Science

    Background:

    • Plasmonic assemblies are crucial in nanophotonics, but their electromagnetic analysis is complex.
    • Existing methods struggle with arbitrary geometries and multi-material junctions.
    • Efficient and accurate simulation techniques are needed for designing plasmonic devices.

    Purpose of the Study:

    • To present a novel discontinuous Galerkin integral equation (DG-IE) method for electromagnetic analysis.
    • To demonstrate the method's capability in handling arbitrarily-shaped plasmonic assemblies and nonconformal junctions.
    • To validate the accuracy and versatility of the proposed DG-IE formulation.

    Main Methods:

    • Development of a discontinuous Galerkin (DG) integral equation (IE) formulation.
    • Utilizing nonconformal meshes for geometric flexibility and adaptive refinement.
    • Enforcing current continuity across junctions using boundary conditions and interior penalties.

    Main Results:

    • The DG-IE method successfully analyzes arbitrarily-shaped plasmonic assemblies.
    • Nonconformal meshes allow for flexible CAD prototyping and adaptive h-refinement.
    • The formulation accurately handles complex multi-material junctions with varying mesh densities.

    Conclusions:

    • The proposed DG-IE method offers a versatile and accurate approach for plasmonic simulations.
    • The use of nonconformal meshes significantly improves flexibility and computational efficiency.
    • This formulation is well-suited for resolving complex nanoparticle assemblies in electromagnetic analysis.