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

Christiansen, Rasmus E.; Vester-Petersen, Joakim; Madsen, S.; Sigmund, Ole

doi:10.1016/j.cma.2018.08.034

Cited by 56 publications

(47 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1A). The permittivity distribution ε(r) is determined by the value of ξ(r) through the interpolation [43],…”

Section: Model Formulationmentioning

confidence: 99%

“…Hence, the approach provides near-unlimited design freedom, with a computational complexity dominated by the solution of the Maxwell equations, utilizing mature finite-element techniques [39]. A suite of well-understood tools, developed or matured over the last decades, are used to solve the optimization problem, interpolate material parameters, control design variations and ensure physical admissibility of the design [37,[40][41][42][43]. In addition, geometric length-scale constraints are employed to ensure that all features of the final designs are above a specified size (which may be chosen to comport with fabrication constraints) [44].…”

Section: Introductionmentioning

confidence: 99%

“…Maximizing the emission alone (for a dipole source) corresponds to maximizing the local density of states (LDOS) [45,46], a formulation that has been employed for TO of optical cavities [47,48]. The focusing problem alone is related to lens and antenna design among others, for which TO has also been applied (both to small metallic particles such as those considered here and to much larger structures, such as metalenses) [43,[49][50][51][52][53]. Nonlinearly coupled electromagnetic resonances at multiple frequencies were optimized via TO for second harmonic generation [54].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Inverse design of nanoparticles for enhanced Raman scattering

Christiansen¹,

Michon²,

Benzaouia³

et al. 2020

Opt. Express

Self Cite

View full text Add to dashboard Cite

We show that topology optimization (TO) of metallic resonators can lead to ∼ 10 2 × improvement in surfaceenhanced Raman scattering (SERS) efficiency compared to traditional resonant structures such as bowtie antennas. TO inverse design leads to surprising structures very different from conventional designs, which simultaneously optimize focusing of the incident wave and emission from the Raman dipole. We consider isolated metallic particles as well as more complicated configurations such as periodic surfaces or resonators coupled to dielectric waveguides, and the benefits of TO are even greater in the latter case. Our results are motivated by recent rigorous upper bounds to Raman scattering enhancement, and shed light on the extent to which these bounds are achievable. * Corresponding

show abstract

“…1A). The permittivity distribution ε(r) is determined by the value of ξ(r) through the interpolation [43],…”

Section: Model Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Inverse design of nanoparticles for enhanced Raman scattering

Christiansen¹,

Michon²,

Benzaouia³

et al. 2020

Opt. Express

Self Cite

View full text Add to dashboard Cite

show abstract

“…The distribution of material is expressed through interpolation in the relevant material properties of A and B using the design variables. In this work, material properties are described by the complex relative electric permittivity entering the wave equation, using the interpolation scheme reported in [6,7]. For a detailed description of the topology optimization framework the reader is referred to [19,20] and the references therein.…”

Section: The Optimization Based Design Problemmentioning

confidence: 99%

“…Examples include, near-field optical microscopy [1], optically assisted data storage [2], and enhanced ionic luminescence [3,4]. Obtaining high enhancement factors is possible through careful optimization of the system under design [5][6][7]. The application, considered in the following is enhanced spectral upconversion of sunlight, which is a promising way of improving the limited absorption in photovoltaic devices [8].…”

Section: Introductionmentioning

confidence: 99%

Field-enhancing photonic devices utilizing waveguide coupling and plasmonics - a selection rule for optimization-based design

Vester-Petersen¹,

Madsen²,

Sigmund³

et al. 2018

Opt. Express

Self Cite

View full text Add to dashboard Cite

This paper describes a systematic design study of periodic gold-nanostrip arrays placed on a thin film aimed at enhancing the electric field inside the film when irradiated by light. Based on the study, a "selection rule" is proposed, which provides optimization-based design methods with an a priori choice between field-enhancement dominated by coupling to guided modes, by plasmonic near-field enhancement or by a mix hereof. An appropriate choice of wavelength and grating period is shown to selectively suppress or include waveguiding effects for the optimized designs. The validity of the selection rule is demonstrated through a numerical topology optimization study in which gold nanostrips are optimized for electric-field enhancement in an erbium-doped TiO thin film, targeting increased spectral upconversion in the erbium ions. The obtained designs exhibit waveguide excitation within the predicted intervals and, for light polarized perpendicularly to the strips, plasmonic response outside.

show abstract

Topology Optimization‐Based Inverse Design of Plasmonic Nanodimer with Maximum Near‐Field Enhancement

Chen

Zhao

et al. 2020

Adv Funct Materials

View full text Add to dashboard Cite

The near‐field enhancement factor is one of the most significant parameters to evaluate the performance of plasmonic nanostructures. Numerous efforts have been made to maximize the enhancement factor through optimizing the size, shape, and spatial arrangement of metallic nanostructures with simple geometries, such as disk, triangle, and rod. This work implements topology optimization to inversely design a metallic nanoparticle dimer with the goal of optimizing the near‐field enhancement factor in its sub‐10 nm gap. By optimizing the material layout within a given design space, the topology optimization algorithm results in a plasmonic nanodimer of two heart‐shaped particles having both convex and concave features. Full‐wave electromagnetic analysis reveals that the largest near‐field enhancement in the heart‐shaped nanoparticle dimer is originated from the greatest concentration of surface charges at the nano‐heart apex. Inversely designed heart‐, bowtie‐, and disk‐shaped nanodimers are fabricated by using focused helium ion beam milling with a “sketch and peel” strategy, and their near‐field enhancement performances are characterized with nonlinear optical spectroscopies at the single‐particle level. Indeed, the heart‐shaped nanodimer exhibits much stronger signal intensities than the other two structures. The present work corroborates the validity and effectiveness of topology optimization‐based inverse design in achieving desired plasmonic functionalities.

show abstract

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

Cited by 56 publications

References 31 publications

Inverse design of nanoparticles for enhanced Raman scattering

Inverse design of nanoparticles for enhanced Raman scattering

Field-enhancing photonic devices utilizing waveguide coupling and plasmonics - a selection rule for optimization-based design

Topology Optimization‐Based Inverse Design of Plasmonic Nanodimer with Maximum Near‐Field Enhancement

Contact Info

Product

Resources

About