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

Doolos Aibek Uulu, Rui Chen*, Liang Chen, Ping Li*, Hakan Bagci

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 relationship to enable the modeling of nonlocality. In the metallic and 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 (SWG) 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.

Original languageEnglish (US)
Pages (from-to)3418-3429
Number of pages12
JournalIEEE Transactions on Antennas and Propagation
Volume71
Issue number4
DOIs
StatePublished - Apr 1 2023

Bibliographical note

Funding Information:
This work was supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Grant 2019-CRG8-4056.

Publisher Copyright:
© 1963-2012 IEEE.

Keywords

  • Electromagnetic scattering
  • hydrodynamic equation
  • nonlocal effects
  • plasmonic nanostructures
  • volume integral equation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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