Objects of Maximum Electromagnetic Chirality

Fernandez‐Corbaton, Ivan; Fruhnert, Martin; Rockstuhl, C.

doi:10.1103/physrevx.6.031013

Cited by 118 publications

(186 citation statements)

References 71 publications

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“…Calculating the T-matrix is particularly interesting for the present object, because numerous electromagnetic properties can be deduced from its entries, such as the duality conservation and electromagnetic chirality [46]. The helix was optimized to express a strong electromagnetic chirality at a specific frequency and, thus, shows a strong contrast in the scattering cross section for two opposite circular polarized incident fields.…”

Section: Resultsmentioning

confidence: 99%

“…To further analyze the T-matrix of the object we can perform a singular value decomposition (svd) of the submatrices [46]. The values are ordered to get the vectors…”

Section: Resultsmentioning

confidence: 99%

“…Here, is the duality breaking, C can be interpreted as the averaged total scattering cross section independent of a specific illumination, Δ is the cross section contrast for different circular polarizations, and χ is a measure for the electromagnetic chirality [46]. The values for the chosen helix are shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Computing the T-matrix of a scattering object with multiple plane wave illuminations

Fruhnert¹,

Fernandez‐Corbaton²,

Yannopapas³

et al. 2017

Beilstein J. Nanotechnol.

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Given an arbitrarily complicated object, it is often difficult to say immediately how it interacts with a specific illumination. Optically small objects, e.g., spheres, can often be modeled as electric dipoles, but which multipole moments are excited for larger particles possessing a much more complicated shape? The T-matrix answers this question, as it contains the entire information about how an object interacts with any electromagnetic illumination. Moreover, a multitude of interesting properties can be derived from the T-matrix such as the scattering cross section for a specific illumination and information about symmetries of the object. Here, we present a method to calculate the T-matrix of an arbitrary object numerically, solely by illuminating it with multiple plane waves and analyzing the scattered fields. Calculating these fields is readily done by widely available tools. The finite element method is particularly advantageous, because it is fast and efficient. We demonstrate the T-matrix calculation at four examples of relevant optical nanostructures currently at the focus of research interest. We show the advantages of the method to obtain useful information, which is hard to access when relying solely on full wave solvers.

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Section: Resultsmentioning

confidence: 99%

“…To further analyze the T-matrix of the object we can perform a singular value decomposition (svd) of the submatrices [46]. The values are ordered to get the vectors…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Computing the T-matrix of a scattering object with multiple plane wave illuminations

Fruhnert¹,

Fernandez‐Corbaton²,

Yannopapas³

et al. 2017

Beilstein J. Nanotechnol.

Self Cite

View full text Add to dashboard Cite

show abstract

“…2(d). It is interesting to compare these results with the conclusions of paper [22], where the notion of "objects of maximum chirality" was introduced. In that paper, "maximum chirality" corresponds to the optimal helices, introduced and studied in Refs.…”

Section: Numerical Examplesmentioning

confidence: 87%

Stored and absorbed energy of fields in lossy chiral single-component metamaterials

et al. 2018

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Here we present theoretical results for estimation of electromagnetic field energy density and absorbed energy in dispersive lossy chiral single-component metamaterials which consist of an ensemble of identical helical resonators as inclusions. The shape of the helical resonator can vary over a wide range, from a straight wire to a flat split ring. An interaction of the inclusions with harmonic circularly polarized electromagnetic plane waves is studied. We focus on how the inclusion shape influences the mentioned metamaterial properties. The derived general solution for the problem is in good agreement with previous partial and alternative solutions obtained for split ring resonators, straight wires, and helices. The study reveals the optimal geometry of helical lossy resonators for their strongest selectivity of interaction with circularly polarized radiation.

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“…Thus, it is possible to derive the scattering matrix for arbitrary geometries as a function of the wave number, which is particularly useful for systems that exhibit resonant states with a narrow linewidth, such as Fano resonances [38][39][40]. In addition, our approach can be applied to systems with resonant phenomena dominated by losses, such as perfect absorbers [41] and chiral nanoantenna arrays [42,43].…”

Section: Introductionmentioning

confidence: 99%

How to calculate the pole expansion of the optical scattering matrix from the resonant states

Weiß

Muljarov

2018

Phys. Rev. B

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We present a formulation for the pole expansion of the scattering matrix of open optical resonators, in which the pole contributions are expressed solely in terms of the resonant states, their wave numbers, and their electromagnetic fields. Particularly, our approach provides an accurate description of the optical scattering matrix without the requirement of a fit for the pole contributions, or the restriction to geometries, or systems with low Ohmic losses. Hence, it is possible to derive the analytic dependence of the scattering matrix on the wave number with low computational effort, which allows for avoiding the artificial frequency discretization of conventional frequency-domain solvers of Maxwell's equations and for finding the optical far-and near-field response based on the physically meaningful resonant states. This is demonstrated for three test systems, including a chiral arrangement of nanoantennas, for which we calculate the absorption and the circular dichroism.

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Objects of Maximum Electromagnetic Chirality

Cited by 118 publications

References 71 publications

Computing the T-matrix of a scattering object with multiple plane wave illuminations

Computing the T-matrix of a scattering object with multiple plane wave illuminations

Stored and absorbed energy of fields in lossy chiral single-component metamaterials

How to calculate the pole expansion of the optical scattering matrix from the resonant states

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