A non-linear material interpolation for design of metallic nano-particles using topology optimization

Rasmus E. Christiansen*, Joakim Vester-Petersen, Søren Peder Madsen, Ole Sigmund

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

This paper discusses a non-linear bi-material interpolation scheme for the relative electric permittivity, , through the refractive index and extinction coefficient. The scheme is tailored for density-based topology optimization of metallic micro- and nano-structures, in electromagnetic problems in the optical wavelength regime. The scheme is shown to exhibit superior properties in the ultraviolet to low infrared wavelength regime, compared to simple linear and inverse interpolation schemes for used in the literature. The superior properties are demonstrated with optimization examples and a physical motivation is provided. Finally, the capability of the scheme is demonstrated by designing a nano-scale Ag antenna-strip providing approximately a 1200 fold spatially-localized enhancement of the electric energy, corresponding to a more than 600% performance improvement over a topology optimized reference design from the literature.
Original languageEnglish
JournalComputer Methods in Applied Mechanics and Engineering
Volume343
Pages (from-to)23-39
ISSN0045-7825
DOIs
Publication statusPublished - 2019

Keywords

  • Material interpolation
  • Electromagnetism
  • Plasmonics
  • Topology optimization
  • Nano-antenna
  • Nano-scale

Cite this

@article{5b6383372d5d4d4093c52146ad785bd9,
title = "A non-linear material interpolation for design of metallic nano-particles using topology optimization",
abstract = "This paper discusses a non-linear bi-material interpolation scheme for the relative electric permittivity, , through the refractive index and extinction coefficient. The scheme is tailored for density-based topology optimization of metallic micro- and nano-structures, in electromagnetic problems in the optical wavelength regime. The scheme is shown to exhibit superior properties in the ultraviolet to low infrared wavelength regime, compared to simple linear and inverse interpolation schemes for used in the literature. The superior properties are demonstrated with optimization examples and a physical motivation is provided. Finally, the capability of the scheme is demonstrated by designing a nano-scale Ag antenna-strip providing approximately a 1200 fold spatially-localized enhancement of the electric energy, corresponding to a more than 600{\%} performance improvement over a topology optimized reference design from the literature.",
keywords = "Material interpolation, Electromagnetism, Plasmonics, Topology optimization, Nano-antenna, Nano-scale",
author = "Christiansen, {Rasmus E.} and Joakim Vester-Petersen and Madsen, {S{\o}ren Peder} and Ole Sigmund",
year = "2019",
doi = "10.1016/j.cma.2018.08.034",
language = "English",
volume = "343",
pages = "23--39",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",

}

A non-linear material interpolation for design of metallic nano-particles using topology optimization. / Christiansen, Rasmus E.; Vester-Petersen, Joakim; Madsen, Søren Peder; Sigmund, Ole.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 343, 2019, p. 23-39.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - A non-linear material interpolation for design of metallic nano-particles using topology optimization

AU - Christiansen, Rasmus E.

AU - Vester-Petersen, Joakim

AU - Madsen, Søren Peder

AU - Sigmund, Ole

PY - 2019

Y1 - 2019

N2 - This paper discusses a non-linear bi-material interpolation scheme for the relative electric permittivity, , through the refractive index and extinction coefficient. The scheme is tailored for density-based topology optimization of metallic micro- and nano-structures, in electromagnetic problems in the optical wavelength regime. The scheme is shown to exhibit superior properties in the ultraviolet to low infrared wavelength regime, compared to simple linear and inverse interpolation schemes for used in the literature. The superior properties are demonstrated with optimization examples and a physical motivation is provided. Finally, the capability of the scheme is demonstrated by designing a nano-scale Ag antenna-strip providing approximately a 1200 fold spatially-localized enhancement of the electric energy, corresponding to a more than 600% performance improvement over a topology optimized reference design from the literature.

AB - This paper discusses a non-linear bi-material interpolation scheme for the relative electric permittivity, , through the refractive index and extinction coefficient. The scheme is tailored for density-based topology optimization of metallic micro- and nano-structures, in electromagnetic problems in the optical wavelength regime. The scheme is shown to exhibit superior properties in the ultraviolet to low infrared wavelength regime, compared to simple linear and inverse interpolation schemes for used in the literature. The superior properties are demonstrated with optimization examples and a physical motivation is provided. Finally, the capability of the scheme is demonstrated by designing a nano-scale Ag antenna-strip providing approximately a 1200 fold spatially-localized enhancement of the electric energy, corresponding to a more than 600% performance improvement over a topology optimized reference design from the literature.

KW - Material interpolation

KW - Electromagnetism

KW - Plasmonics

KW - Topology optimization

KW - Nano-antenna

KW - Nano-scale

U2 - 10.1016/j.cma.2018.08.034

DO - 10.1016/j.cma.2018.08.034

M3 - Journal article

VL - 343

SP - 23

EP - 39

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

ER -