Fast analysis of electrically large plasmonic arrays with aperiodic spiral order

M. Zubair; M. A. Francavilla; M. Righero; G. Vecchi; L. Dal Negro

doi:10.1109/COMPEM.2015.7052553

Fast analysis of electrically large plasmonic arrays with aperiodic spiral order

M. Zubair, M. A. Francavilla, M. Righero, G. Vecchi, L. Dal Negro

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

1 Scopus citations

Abstract

This work presents a fast analysis of electromagnetic scattering from arrays of metallic nano-particles with aperiodic spiral order. The reported method extends the integral equation fast Fourier transform (IE-FFT) algorithm to the method of moments solution of PMCHWT integral equation for aperiodic homogenous dielectric arrays. The algorithm relies on the interpolation of Greens function by Lagrangian polynomials on a uniform Cartesian grid. Hence, the matrix-vector product in the iterative solver can be computed via the fast Fourier transform. The memory requirement and the computational complexity of the algorithm tend to stay close to O(N) and O(NlogN), respectively, where N is the number of unknowns. Some numerical examples are included, which illustrate the accuracy and capability of the present method.

Original language	English (US)
Title of host publication	ICCEM 2015 - 2015 IEEE International Conference on Computational Electromagnetics
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	53-55
Number of pages	3
ISBN (Print)	9781479962815
DOIs	https://doi.org/10.1109/COMPEM.2015.7052553
State	Published - Mar 2 2015
Externally published	Yes

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10.1109/COMPEM.2015.7052553

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title = "Fast analysis of electrically large plasmonic arrays with aperiodic spiral order",

abstract = "This work presents a fast analysis of electromagnetic scattering from arrays of metallic nano-particles with aperiodic spiral order. The reported method extends the integral equation fast Fourier transform (IE-FFT) algorithm to the method of moments solution of PMCHWT integral equation for aperiodic homogenous dielectric arrays. The algorithm relies on the interpolation of Greens function by Lagrangian polynomials on a uniform Cartesian grid. Hence, the matrix-vector product in the iterative solver can be computed via the fast Fourier transform. The memory requirement and the computational complexity of the algorithm tend to stay close to O(N) and O(NlogN), respectively, where N is the number of unknowns. Some numerical examples are included, which illustrate the accuracy and capability of the present method.",

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Fast analysis of electrically large plasmonic arrays with aperiodic spiral order. / Zubair, M.; Francavilla, M. A.; Righero, M. et al.
ICCEM 2015 - 2015 IEEE International Conference on Computational Electromagnetics. Institute of Electrical and Electronics Engineers Inc., 2015. p. 53-55.

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

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T1 - Fast analysis of electrically large plasmonic arrays with aperiodic spiral order

AU - Zubair, M.

AU - Francavilla, M. A.

AU - Righero, M.

AU - Vecchi, G.

AU - Negro, L. Dal

N1 - Generated from Scopus record by KAUST IRTS on 2023-09-20

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Y1 - 2015/3/2

N2 - This work presents a fast analysis of electromagnetic scattering from arrays of metallic nano-particles with aperiodic spiral order. The reported method extends the integral equation fast Fourier transform (IE-FFT) algorithm to the method of moments solution of PMCHWT integral equation for aperiodic homogenous dielectric arrays. The algorithm relies on the interpolation of Greens function by Lagrangian polynomials on a uniform Cartesian grid. Hence, the matrix-vector product in the iterative solver can be computed via the fast Fourier transform. The memory requirement and the computational complexity of the algorithm tend to stay close to O(N) and O(NlogN), respectively, where N is the number of unknowns. Some numerical examples are included, which illustrate the accuracy and capability of the present method.

AB - This work presents a fast analysis of electromagnetic scattering from arrays of metallic nano-particles with aperiodic spiral order. The reported method extends the integral equation fast Fourier transform (IE-FFT) algorithm to the method of moments solution of PMCHWT integral equation for aperiodic homogenous dielectric arrays. The algorithm relies on the interpolation of Greens function by Lagrangian polynomials on a uniform Cartesian grid. Hence, the matrix-vector product in the iterative solver can be computed via the fast Fourier transform. The memory requirement and the computational complexity of the algorithm tend to stay close to O(N) and O(NlogN), respectively, where N is the number of unknowns. Some numerical examples are included, which illustrate the accuracy and capability of the present method.

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BT - ICCEM 2015 - 2015 IEEE International Conference on Computational Electromagnetics

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Fast analysis of electrically large plasmonic arrays with aperiodic spiral order

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