Abstract
| Original language | English |
|---|---|
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 343 |
| Pages (from-to) | 23-39 |
| ISSN | 0045-7825 |
| DOIs | |
| Publication status | Published - 2019 |
Keywords
- Material interpolation
- Electromagnetism
- Plasmonics
- Topology optimization
- Nano-antenna
- Nano-scale
Cite this
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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 journal › Journal article › Research › peer-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 -