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    Solution of Volume Integral and Hydrodynamic Equations to Analyze Electromagnetic Scattering from Composite Nanostructures

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    2204.06927.pdf
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    2.746Mb
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    Description:
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    Type
    Preprint
    Authors
    Uulu, Doolos Aibek
    Chen, Rui cc
    Chen, Liang cc
    Li, Ping
    Bagci, Hakan cc
    KAUST Department
    Electrical and Computer Engineering Program
    Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
    Date
    2022-04-14
    Permanent link to this record
    http://hdl.handle.net/10754/676643
    
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    Abstract
    A coupled system of volume integral and hydrodynamic equations is solved to analyze electromagnetic scattering from nanostructures consisting of metallic and dielectric parts. In the metallic part, the hydrodynamic equation relates the free electron polarization current to the electric flux and effectively "updates" the constitutive relation to enable the modeling of nonlocality. In the metallic and the dielectric parts, the volume integral equation relates the electric flux and the free electron polarization current to the scattered electric field. Unknown electric flux and free electron polarization current are expanded using Schaubert-Wilton-Glisson basis functions. Inserting these expansions into the coupled system of the volume integral and hydrodynamic equations and using Galerkin testing yield a matrix system in unknown expansion coefficients. An efficient two-level iterative solver is proposed to solve this matrix system. This approach "inverts" the discretized hydrodynamic equation for the coefficients of the free electron polarization current and substitutes the result in the discretized volume integral equation. Outer iterations solve this reduced matrix system while the inner iterations invert the discretized hydrodynamic equation at every iteration of the outer iterations. Numerical experiments are carried out to demonstrate the accuracy, the efficiency, and the applicability of the proposed method.
    Publisher
    arXiv
    arXiv
    2204.06927
    Additional Links
    https://arxiv.org/pdf/2204.06927.pdf
    Collections
    Preprints; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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