Homogenization of periodic metamaterials by field averaging over unit cell boundaries: use and limitations

Gozhenko, Victor V.; Amert, Anthony K.; Whites, K.W.

doi:10.1088/1367-2630/15/4/043030

Cited by 10 publications

(7 citation statements)

References 39 publications

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“…It should be noted that an improvement for the method has also been proposed in the literature; please refer to Ref. [46,47] for further readings and more simulations.…”

Section: Simulation Resultsmentioning

confidence: 99%

Effective Medium Theory of Metamaterials and Metasurfaces

Jiang¹,

Mei

Cui³

2021

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Metamaterials, including their two-dimensional counterparts, are composed of subwavelength-scale artificial particles. These materials have novel electromagnetic properties, and can be artificially tailored for various applications. Based on metamaterials and metasurfaces, many abnormal physical phenomena have been realized, such as negative refraction, invisible cloaking, abnormal reflection and focusing, and many new functions and devices have been developed. The effective medium theory lays the foundation for design and application of metamaterials and metasurfaces, connecting metamaterials with real world applications. In this Element, the authors combine these essential ingredients, and aim to make this Element an access point to this field. To this end, they review classical theories for dielectric functions, effective medium theory, and effective parameter extraction of metamaterials, also introducing front edge technologies like metasurfaces with theories, methods, and potential applications. Energy densities are also included.

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“…It should be noted that an improvement for the method has also been proposed in the literature; please refer to Ref. [46,47] for further readings and more simulations.…”

Section: Simulation Resultsmentioning

confidence: 99%

Effective Medium Theory of Metamaterials and Metasurfaces

Jiang¹,

Mei

Cui³

2021

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“…Photonic metamaterials are artificial structures composed of designed subwavelength building blocks that can achieve unusual optical properties [12]. The current underpinning of metamaterials design relies on the effective medium theory (EMT) [13][14][15], which is actively investigated in electromagnetic research from different perspectives such as the methods of coherent potential approximation (CPA) [16,17], the multipole expansion method [18], or the field averaging procedure [19] are used to homogenize metamaterials properties. Here we propose to use PINNs for the homogenization of dielectric metamaterials formulated as an inverse medium problem for finite-size systems.…”

Section: Alsmentioning

confidence: 99%

Physics-informed neural networks for inverse problems in nano-optics and metamaterials

et al. 2020

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In this paper we employ the emerging paradigm of physics-informed neural networks (PINNs) for the solution of representative inverse scattering problems in photonic metamaterials and nanooptics technologies. In particular, we successfully apply mesh-free PINNs to the difficult task of retrieving the effective permittivity parameters of a number of finite-size scattering systems that involve many interacting nanostructures as well as multi-component nanoparticles. Our methodology is fully validated by numerical simulations based on the Finite Element Method (FEM). The development of physics-informed deep learning techniques for inverse scattering can enable the design of novel functional nanostructures and significantly broaden the design space of metamaterials by naturally accounting for radiation and finite-size effects beyond the limitations of traditional effective medium theories. *

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“…To facilitate calculation of the effective parameters of periodic metamaterials, a number of homogenization theories and methods were proposed (see, e.g., Refs. [1][2][3][4][5][6]. Those methods differ from each other by, particularly, the way they calculate the average values of the local fields in the metamaterials.…”

Section: Introductionmentioning

confidence: 99%

Size Effects in Periodic Metamaterials

Gozhenko¹

2023

Preprint

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The optical properties of periodic electromagnetic metamaterials are considered as functions of their relative unit cell size d/λ. The reflection R and transmission T coefficients are numerically calculated for some realistic metamaterials in a wide range of their relative unit cell size values that comprises different operating regimes of the metamaterials. Peculiarities in R and T behavior are discussed and the causes of those peculiarities are outlined. The obtained results support the opinion on inapplicability of the very homogenization concept to metamaterials whose unit cell size is comparable to the incident wavelength, in contrast to some previously published results.

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Homogenization of periodic metamaterials by field averaging over unit cell boundaries: use and limitations

Cited by 10 publications

References 39 publications

Effective Medium Theory of Metamaterials and Metasurfaces

Effective Medium Theory of Metamaterials and Metasurfaces

Physics-informed neural networks for inverse problems in nano-optics and metamaterials

Size Effects in Periodic Metamaterials

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