Implementation of the natural mode analysis for nanotopologies using a Volumetric Method of Moments (V-MoM) algorithm

Xuezhi Zheng, Ventsislav K. Valev, Niels Verellen, Vladimir Volskiy, Lars O. Herrmann, Pol Van Dorpe, Jeremy J. Baumberg, Guy A E Vandenbosch, V. V. Moschchalkov

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Within the framework of a method-of-moments algorithm, the natural frequencies and natural modes of a scatterer/antenna can be found by looking for the complex frequencies where the determinant of the impedance matrix becomes zero. However, for nanotopologies, the value of this determinant can easily go beyond the resolution or representation limits available on present-day computers. In this work, we propose a substitute for the matrix determinant that avoids this problem altogether: the characteristic term. A robust numerical procedure for locating natural frequencies using this new target function is outlined. Then, the natural frequencies of three different nanostructures, namely, a gold and nickel nanopatch and a gold nanodimer, are calculated and validated by numerically and experimentally obtained scattering/extinction spectra.

Original languageEnglish
Article number6838978
JournalIEEE Photonics Journal
Volume6
Issue number4
DOIs
Publication statusPublished - 1 Jan 2014

Fingerprint

method of moments
Method of moments
determinants
resonant frequencies
Natural frequencies
Gold
gold
matrices
scattering
Nanostructures
extinction
antennas
Nickel
nickel
impedance
Scattering
substitutes
Antennas

Cite this

Implementation of the natural mode analysis for nanotopologies using a Volumetric Method of Moments (V-MoM) algorithm. / Zheng, Xuezhi; Valev, Ventsislav K.; Verellen, Niels; Volskiy, Vladimir; Herrmann, Lars O.; Van Dorpe, Pol; Baumberg, Jeremy J.; Vandenbosch, Guy A E; Moschchalkov, V. V.

In: IEEE Photonics Journal, Vol. 6, No. 4, 6838978, 01.01.2014.

Research output: Contribution to journalArticle

Zheng, X, Valev, VK, Verellen, N, Volskiy, V, Herrmann, LO, Van Dorpe, P, Baumberg, JJ, Vandenbosch, GAE & Moschchalkov, VV 2014, 'Implementation of the natural mode analysis for nanotopologies using a Volumetric Method of Moments (V-MoM) algorithm', IEEE Photonics Journal, vol. 6, no. 4, 6838978. https://doi.org/10.1109/JPHOT.2014.2331236
Zheng, Xuezhi ; Valev, Ventsislav K. ; Verellen, Niels ; Volskiy, Vladimir ; Herrmann, Lars O. ; Van Dorpe, Pol ; Baumberg, Jeremy J. ; Vandenbosch, Guy A E ; Moschchalkov, V. V. / Implementation of the natural mode analysis for nanotopologies using a Volumetric Method of Moments (V-MoM) algorithm. In: IEEE Photonics Journal. 2014 ; Vol. 6, No. 4.
@article{29473ad5aa9b46b4aabae654ba35bdc0,
title = "Implementation of the natural mode analysis for nanotopologies using a Volumetric Method of Moments (V-MoM) algorithm",
abstract = "Within the framework of a method-of-moments algorithm, the natural frequencies and natural modes of a scatterer/antenna can be found by looking for the complex frequencies where the determinant of the impedance matrix becomes zero. However, for nanotopologies, the value of this determinant can easily go beyond the resolution or representation limits available on present-day computers. In this work, we propose a substitute for the matrix determinant that avoids this problem altogether: the characteristic term. A robust numerical procedure for locating natural frequencies using this new target function is outlined. Then, the natural frequencies of three different nanostructures, namely, a gold and nickel nanopatch and a gold nanodimer, are calculated and validated by numerically and experimentally obtained scattering/extinction spectra.",
author = "Xuezhi Zheng and Valev, {Ventsislav K.} and Niels Verellen and Vladimir Volskiy and Herrmann, {Lars O.} and {Van Dorpe}, Pol and Baumberg, {Jeremy J.} and Vandenbosch, {Guy A E} and Moschchalkov, {V. V.}",
year = "2014",
month = "1",
day = "1",
doi = "10.1109/JPHOT.2014.2331236",
language = "English",
volume = "6",
journal = "IEEE Photonics Journal",
issn = "1943-0655",
publisher = "IEEE",
number = "4",

}

TY - JOUR

T1 - Implementation of the natural mode analysis for nanotopologies using a Volumetric Method of Moments (V-MoM) algorithm

AU - Zheng, Xuezhi

AU - Valev, Ventsislav K.

AU - Verellen, Niels

AU - Volskiy, Vladimir

AU - Herrmann, Lars O.

AU - Van Dorpe, Pol

AU - Baumberg, Jeremy J.

AU - Vandenbosch, Guy A E

AU - Moschchalkov, V. V.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - Within the framework of a method-of-moments algorithm, the natural frequencies and natural modes of a scatterer/antenna can be found by looking for the complex frequencies where the determinant of the impedance matrix becomes zero. However, for nanotopologies, the value of this determinant can easily go beyond the resolution or representation limits available on present-day computers. In this work, we propose a substitute for the matrix determinant that avoids this problem altogether: the characteristic term. A robust numerical procedure for locating natural frequencies using this new target function is outlined. Then, the natural frequencies of three different nanostructures, namely, a gold and nickel nanopatch and a gold nanodimer, are calculated and validated by numerically and experimentally obtained scattering/extinction spectra.

AB - Within the framework of a method-of-moments algorithm, the natural frequencies and natural modes of a scatterer/antenna can be found by looking for the complex frequencies where the determinant of the impedance matrix becomes zero. However, for nanotopologies, the value of this determinant can easily go beyond the resolution or representation limits available on present-day computers. In this work, we propose a substitute for the matrix determinant that avoids this problem altogether: the characteristic term. A robust numerical procedure for locating natural frequencies using this new target function is outlined. Then, the natural frequencies of three different nanostructures, namely, a gold and nickel nanopatch and a gold nanodimer, are calculated and validated by numerically and experimentally obtained scattering/extinction spectra.

UR - http://www.scopus.com/inward/record.url?scp=84904278863&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1109/JPHOT.2014.2331236

U2 - 10.1109/JPHOT.2014.2331236

DO - 10.1109/JPHOT.2014.2331236

M3 - Article

VL - 6

JO - IEEE Photonics Journal

JF - IEEE Photonics Journal

SN - 1943-0655

IS - 4

M1 - 6838978

ER -