Full Polarizability Matrix Extraction Formulas for Electrically Small Particles via Reflection/Transmission Coefficients

Karamanos, Theodosios D.; Kantartzis, Nikolaos V.

doi:10.2528/pierb18071706

Cited by 6 publications

(7 citation statements)

References 39 publications

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“…After the required electric field values are substituted into (6), the required polarisabilities are provided in Figure 5. Similarly with the previous example, all outcomes are of the anticipated form, with very limited to no artefacts, in (Asadchy et al, 2014;Karamanos and Kantartzis, 2018). It is noteworthy to mention that polarisability a xy em is, herein, non-zero confirming the bianisotropic nature of the particle, while non-zero values of the a xzx E term are observed in the vicinity of both resonances.…”

Section: Quadrupolarisability Extractionsupporting

confidence: 77%

“…To this aim, in Figure 6(b), it can be detected that q xz has a confined contribution in the TRP at the first resonancewhich explains the success of dipole-only methods in such situationsbut it turns significant in the second one, in full accordance with the investigation of Chen et al (2015). Overall, the extraction of quadrupolarisability a xzx E and the addition of the respective quadrupole in the scattering model, pushes the multipole representation up to the level of l =2-2l =3, which is a promising improvement to the conventional l =4 dipole approximation limit (Karamanos and Kantartzis, 2018). Therefore, nanoparticles that possess quadrupole resonances and only the q xz moment can, now, be very accurately and consistently represented through polarisabilities for a large assortment of metamaterial or metasurface applications (Boratay Alici et al, 2013;Castaldi et al, 2013;Liu and Kivshar, 2018).…”

Section: Quadrupolarisability Extractionsupporting

confidence: 55%

“…where a xx ee ,a xy em and a yy mm are the electric-electric, electric-magnetic and magnetic-magnetic (dipole) polarisabilities (Asadchy et al, 2014;Karamanos and Kantartzis, 2018), respectively, while a xzx E is the electric quadrupolarisability (Raab and de Lange, 2005). In general, if a particle is modelled as a collection of electric dipoles and quadrupoles, as well as magnetic dipoles, it can radiate to the far-field via (Jackson, 2009):…”

Section: Development Of the Extraction Methodologymentioning

confidence: 99%

“…Thus far, the majority of first-principle techniques exploits the dipole terms of a small particle radiation, and, consequently, the respective (dipole) polarisabilities. To acquire the latter, efforts have focussed on analytical and circuit-model computations in the quasi-static spectrum (Tretyakov, 2003;Marqués et al, 2003) or extraction techniques stemming from measurements and simulations (Asadchy et al, 2014;Karamanos and Kantartzis, 2018). However, in many cases, the inability of the dipole approximation to fully describe the scattering behaviour of a small particle is in specific cases evident, even at the first resonance (Karamanos and Kantartzis, 2018).…”

Section: Introductionmentioning

confidence: 99%

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Quadrupolarisability extraction for planar metamaterial scatterers via far-field response

Karamanos

Amanatiadis

Zygiridis

et al. 2020

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Purpose The majority of first-principle, homogenisation techniques makes use of the dipole terms of a small particle radiation, and, consequently, the respective dipole polarisabilities. This paper aims to take the next step and propose a new systematic technique for extracting the quadrupolarisability of planar metamaterial scatterers. Design/methodology/approach Firstly, it is assumed that the particle, under study, can be modelled as a set of dipole and quadrupole moments, and by utilising the respective polarisabilities, the far-field response of the scatterer is calculated. Then, the far-field scattering field of the particle is constructed in terms of the dipole and quadrupole moments, which, in turn, are expressed as a function of the unknown polarisabilities. Finally, the desired polarisabilities are retrieved by a system of equations, which involves numerically derived electric field values at specific positions around the scatterer. Findings The quadrupolarisability of planar metamaterial particles is extracted, through an easy to use, yet very accurate and efficient methodology. Moreover, the proposed technique is verified via comprehensive comparisons of consequently computed and simulated total radiated power values, which reveal its advantages and applicability limits. Finally, the total radiation power contribution of each calculated, individual multipole is provided, to further investigate the radiation mechanism of all nano-particles under study. Originality/value The initial and most important step of extracting a single quadrupolarisability of a planar realistic nano-particle has been performed, herein, for the first time. The addition of the respective quadrupole in the scattering model, shifts the multipole approximation limit upwards in terms of frequency, and, therefore, nano-particles with quadrupole resonances can, now, be precisely represented via polarisabilities for various metamaterial or metasurface applications.

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Section: Quadrupolarisability Extractionsupporting

confidence: 77%

Section: Quadrupolarisability Extractionsupporting

confidence: 55%

Section: Development Of the Extraction Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quadrupolarisability extraction for planar metamaterial scatterers via far-field response

Karamanos

Amanatiadis

Zygiridis

et al. 2020

COMPEL

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“…To apply modular analysis to the meta-atom, one needs first to determine all these components. Several techniques for polarizability extraction have been proposed during the last decade [24][25][26][27][28], but none of them allows calculation of all the polarizability components simultaneously. In this paper, the approach based on scattered-far-field probing [25] is extended [22] and utilized.…”

Section: Modular Decomposition Of Polarization Effectsmentioning

confidence: 99%

Modular Analysis of Arbitrary Dipolar Scatterers

Asadchy

Tretyakov

2019

Phys. Rev. Applied

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Within the paradigm of metamaterials and metasurfaces, the electromagnetic properties of composite materials can be engineered by shaping or modulating their constituents, the so-called meta-atoms. Synthesis and analysis of complex-shaped meta-atoms with general polarization properties is a challenging task. In this paper, we demonstrate that the most general dipolar response of any small object can be conceptually decomposed into a set of basic fundamental polarization phenomena, which enables immediate all-direction characterization of the electromagnetic properties of arbitrary linear materials and metamaterials. The proposed platform for modular characterization is tested on several examples of bianisotropic and nonreciprocal meta-atoms. As a demonstration of the potential of this modular analysis, we use it to design a single-layer metasurface of vanishing thickness with unitary circular dichroism. The analysis approach developed in this paper is supported by a ready-to-use computational code and can be further extended to meta-atoms engineered for other types of wave interactions, such as in acoustics and mechanics.

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A Comprehensive Multipolar Theory for Periodic Metasurfaces

Rahimzadegan

Karamanos

Alaee

et al. 2022

Advanced Optical Materials

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Optical metasurfaces consist of 2D arrangements of scatterers, and they control the amplitude, phase, and polarization of an incidence field on demand. Optical metasurfaces are the cornerstone for a future generation of flat optical devices in a wide range of applications. The rapid advances in nanofabrication have made the versatile design and analysis of these ultra‐thin surfaces an ever‐growing necessity. However, a comprehensive theory to describe the optical response of periodic metasurfaces in closed‐form and analytical expressions has not been formulated, and prior attempts are frequently approximate. Here, a theory is developed that analytically links the properties of the scatterer, from which a metasurface is made, to its response via the lattice coupling matrix. The scatterers are represented by their polarizability or T matrix. Explicit expressions for the optical response up to octupolar order in both spherical and Cartesian coordinates are provided, for normal or oblique incidence. Several examples demonstrate that the proposed theoretical approach is a powerful tool for exploring the physics of metasurfaces and designing novel flat optics devices. Novel fully‐diffracting metagratings and particle‐independent polarization filters are proposed, and novel insights into bound states in the continuum, collective lattice resonances, and the response of Huygens’ metasurfaces under oblique incidence are provided.

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Full Polarizability Matrix Extraction Formulas for Electrically Small Particles via Reflection/Transmission Coefficients

Cited by 6 publications

References 39 publications

Quadrupolarisability extraction for planar metamaterial scatterers via far-field response

Quadrupolarisability extraction for planar metamaterial scatterers via far-field response

Modular Analysis of Arbitrary Dipolar Scatterers

A Comprehensive Multipolar Theory for Periodic Metasurfaces

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