Solution of Coupled Hydrodynamic and Volume Integral Equations for Analyzing Electromagnetic Interactions on Nanostructures

Doolos Aibek Uulu; Ping Li; Hakan Bagci

doi:10.1109/IEEECONF35879.2020.9329742

Solution of Coupled Hydrodynamic and Volume Integral Equations for Analyzing Electromagnetic Interactions on Nanostructures

Doolos Aibek Uulu, Ping Li, Hakan Bagci

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

A coupled system of hydrodynamic and volume integral equations is solved for analyzing electromagnetic wave interactions with non-local dispersion effects on nanostructures. The proposed scheme discretizes the scatterer into a mesh of tetrahedral elements and expands (unknown) electric flux and hydrodynamic current using Schaubert-Wilton-Glisson basis functions defined on this mesh. Inserting these expansions into the coupled equations and applying Galerkin testing yield a matrix system. An iterative scheme is used to solve this matrix system for unknown expansion coefficients. Numerical results show additional resonance peaks in the scattering cross section spectrum of nanospheres, which can be explained by non-local dispersion effects accounted for by the proposed method.

Original language	English (US)
Title of host publication	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting
Publisher	IEEE
ISBN (Print)	978-1-7281-6671-1
DOIs	https://doi.org/10.1109/IEEECONF35879.2020.9329742
State	Published - 2020

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KAUST Repository Item: Exported on 2021-02-23

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10.1109/IEEECONF35879.2020.9329742

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title = "Solution of Coupled Hydrodynamic and Volume Integral Equations for Analyzing Electromagnetic Interactions on Nanostructures",

abstract = "A coupled system of hydrodynamic and volume integral equations is solved for analyzing electromagnetic wave interactions with non-local dispersion effects on nanostructures. The proposed scheme discretizes the scatterer into a mesh of tetrahedral elements and expands (unknown) electric flux and hydrodynamic current using Schaubert-Wilton-Glisson basis functions defined on this mesh. Inserting these expansions into the coupled equations and applying Galerkin testing yield a matrix system. An iterative scheme is used to solve this matrix system for unknown expansion coefficients. Numerical results show additional resonance peaks in the scattering cross section spectrum of nanospheres, which can be explained by non-local dispersion effects accounted for by the proposed method.",

author = "Uulu, {Doolos Aibek} and Ping Li and Hakan Bagci",

note = "KAUST Repository Item: Exported on 2021-02-23",

year = "2020",

doi = "10.1109/IEEECONF35879.2020.9329742",

language = "English (US)",

isbn = "978-1-7281-6671-1",

booktitle = "2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting",

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Solution of Coupled Hydrodynamic and Volume Integral Equations for Analyzing Electromagnetic Interactions on Nanostructures. / Uulu, Doolos Aibek; Li, Ping; Bagci, Hakan.
2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting. IEEE, 2020.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Solution of Coupled Hydrodynamic and Volume Integral Equations for Analyzing Electromagnetic Interactions on Nanostructures

AU - Uulu, Doolos Aibek

AU - Li, Ping

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2021-02-23

PY - 2020

Y1 - 2020

N2 - A coupled system of hydrodynamic and volume integral equations is solved for analyzing electromagnetic wave interactions with non-local dispersion effects on nanostructures. The proposed scheme discretizes the scatterer into a mesh of tetrahedral elements and expands (unknown) electric flux and hydrodynamic current using Schaubert-Wilton-Glisson basis functions defined on this mesh. Inserting these expansions into the coupled equations and applying Galerkin testing yield a matrix system. An iterative scheme is used to solve this matrix system for unknown expansion coefficients. Numerical results show additional resonance peaks in the scattering cross section spectrum of nanospheres, which can be explained by non-local dispersion effects accounted for by the proposed method.

AB - A coupled system of hydrodynamic and volume integral equations is solved for analyzing electromagnetic wave interactions with non-local dispersion effects on nanostructures. The proposed scheme discretizes the scatterer into a mesh of tetrahedral elements and expands (unknown) electric flux and hydrodynamic current using Schaubert-Wilton-Glisson basis functions defined on this mesh. Inserting these expansions into the coupled equations and applying Galerkin testing yield a matrix system. An iterative scheme is used to solve this matrix system for unknown expansion coefficients. Numerical results show additional resonance peaks in the scattering cross section spectrum of nanospheres, which can be explained by non-local dispersion effects accounted for by the proposed method.

UR - http://hdl.handle.net/10754/667542

UR - https://ieeexplore.ieee.org/document/9329742/

U2 - 10.1109/IEEECONF35879.2020.9329742

DO - 10.1109/IEEECONF35879.2020.9329742

M3 - Conference contribution

SN - 978-1-7281-6671-1

BT - 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting

PB - IEEE

ER -

Solution of Coupled Hydrodynamic and Volume Integral Equations for Analyzing Electromagnetic Interactions on Nanostructures

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