Absolute extinction cross-section of individual magnetic split-ring resonators

Husnik, Martin; Klein, M.; Wegener, Martin; König, Michael; Niegemann, Jens; Busch, Kurt; Feth, Nils; Lindén, Stefan

doi:10.1038/nphoton.2008.181

Cited by 104 publications

(117 citation statements)

References 19 publications

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“…Normalising the resulting spectrum for an array of scatterers against a reference spectrum leads, for example, to transmittance and reflectance spectra. More sophisticated setups even allow the measurement of scattering, absorption, and extinction cross-sections of individual particles [66,99]. This section explains how to obtain such data from DG simulations.…”

Section: Laser and Photonics Reviewsmentioning

confidence: 99%

Discontinuous Galerkin methods in nanophotonics

Busch

König

Niegemann

2011

Laser & Photonics Reviews

148

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Nanophotonic systems facilitate a far-reaching control over the propagation of light and its interaction with matter. In view of the increasing sophistication of fabrication methods and characterisation tools, quantitative computational approaches are thus faced with a number of challenges. This includes dealing with the strong optical response of individual nanostructures and the multi-scattering processes associated with arrays of such elements. Both of these aspects may lead to significant modifications of light-matter interactions. This article reviews the state of the recently developed discontinuous Galerkin finite element method for the efficient numerical treatment of nanophotonic systems. This approach combines the accurate and flexible spatial discretisation of classical finite elements with efficient time stepping capabilities. The underlying principles of the discontinuous Galerkin technique and its application to the simulation of complex nanophotonic structures are described in detail. In addition, formulations for both time-and frequency-domain solvers are provided and specific advantages and limitations of the technique are discussed. The potential of the discontinuous Galerkin approach is illustrated by modelling and simulating several experimentally relevant systems.

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Section: Laser and Photonics Reviewsmentioning

confidence: 99%

Discontinuous Galerkin methods in nanophotonics

Busch

König

Niegemann

2011

Laser & Photonics Reviews

148

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“…14, 31, 32 Single-particle extinction techniques, such as spatial modulation spectroscopy 24,33,34 and white-light scattering interference spectroscopy, 35 have been applied as an alternative route to record the spectrum of nanoparticles. 35,36 Although for the smallest nanoparticle sizes the extinction spectrum is dominated by absorption, it is often important to obtain the pure absorption spectrum, ideally in comparison to the scattering of the same nanoparticle.…”

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confidence: 99%

Single-Particle Absorption Spectroscopy by Photothermal Contrast

et al. 2015

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Removing effects of sample heterogeneity through single-molecule and single-particle techniques has advanced many fields. While background free luminescence and scattering spectroscopy is widely used, recording the absorption spectrum only is rather difficult. Here we present an approach capable of recording pure absorption spectra of individual nanostructures. We demonstrate the implementation of single-particle absorption spectroscopy on strongly scattering plasmonic nanoparticles by combining photothermal microscopy with a supercontinuum laser and an innovative calibration procedure that accounts for chromatic aberrations and wavelength-dependent excitation powers. Comparison of the absorption spectra to the scattering spectra of the same individual gold nanoparticles reveals the blueshift of the absorption spectra, as predicted by Mie theory but previously not detectable in extinction measurements that measure the sum of absorption and scattering. By covering a wavelength range of 300 nm, we are furthermore able to record absorption spectra of single gold nanorods with different aspect ratios. We find that the spectral shift between absorption and scattering for the longitudinal plasmon resonance decreases as a function of nanorod aspect ratio, which is in agreement with simulations.

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“…9-16). To avoid inhomogeneous broadening effects in experiments, complex techniques are sometimes used to measure the optical response of individual elements (17). Other times inhomogeneous broadening can be helpful, for example in situations where a broadband optical response is desired such as in photovoltaic applications (18).…”

mentioning

confidence: 99%

Accounting for inhomogeneous broadening in nano-optics by electromagnetic modeling based on Monte Carlo methods

Gudjonson

Kats

Liu

et al. 2014

Proc. Natl. Acad. Sci. U.S.A.

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Many experimental systems consist of large ensembles of uncoupled or weakly interacting elements operating as a single whole; this is particularly the case for applications in nano-optics and plasmonics, including colloidal solutions, plasmonic or dielectric nanoparticles on a substrate, antenna arrays, and others. In such experiments, measurements of the optical spectra of ensembles will differ from measurements of the independent elements as a result of small variations from element to element (also known as polydispersity) even if these elements are designed to be identical. In particular, sharp spectral features arising from narrow-band resonances will tend to appear broader and can even be washed out completely. Here, we explore this effect of inhomogeneous broadening as it occurs in colloidal nanopolymers comprising selfassembled nanorod chains in solution. Using a technique combining finite-difference time-domain simulations and Monte Carlo sampling, we predict the inhomogeneously broadened optical spectra of these colloidal nanopolymers and observe significant qualitative differences compared with the unbroadened spectra. The approach combining an electromagnetic simulation technique with Monte Carlo sampling is widely applicable for quantifying the effects of inhomogeneous broadening in a variety of physical systems, including those with many degrees of freedom that are otherwise computationally intractable.photonics | FDTD | random sampling | stochastic

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Absolute extinction cross-section of individual magnetic split-ring resonators

Cited by 104 publications

References 19 publications

Discontinuous Galerkin methods in nanophotonics

Discontinuous Galerkin methods in nanophotonics

Single-Particle Absorption Spectroscopy by Photothermal Contrast

Accounting for inhomogeneous broadening in nano-optics by electromagnetic modeling based on Monte Carlo methods

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