Calculation of lattice sums of general type

Popov, A. V.; Попов, В. А.

doi:10.1007/s10910-020-01182-7

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…To alleviate these problems, D. Beutel et al [69] used spherical coordinates and a T matrix representation to develop a numerical method to calculate the complete response of a metasurface, that is, propagating and evanescent modes, for any particle and up to a desired multipolar order. Based on previous efforts on isotropic particles, [70,71] this approach employs the Ewald summation [72,73] for the fast-converging determination of the lattice couplings to achieve a complete description of a 2D array response. Although efficient, this work lacks the interchangeability between spherical and more popular-Cartesian representations.…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

A Comprehensive Multipolar Theory for Periodic Metasurfaces

Rahimzadegan

Karamanos

Alaee

et al. 2022

Advanced Optical Materials

View full text Add to dashboard Cite

show abstract

“…To alleviate these problems, D. Beutel et al [64] used spherical coordinates and a T matrix representation to develop a numerical method to calculate the complete response of a metasurface, i.e., propagating and evanescent modes, for any particle and up to a desired multipolar order. Based on previous efforts on isotropic par- ticles [65,66], this approach employs the Ewald summation [67,68] for the fast-converging determination of the lattice couplings to achieve a full description of a 2D array response. Although efficient, this work lacks the interchangeability between spherical and -more popular-Cartesian representations.…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Multipolar Theory for Periodic Metasurfaces

Rahimzadegan,

Karamanos,

Alaee

et al. 2021

Preprint

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Optical metasurfaces consist of a 2D arrangement 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 rapidly growing advances in nanofabrication have made the versatile design and analysis of these ultra-thin surfaces an ever-growing necessity. However, despite their importance, a comprehensive theory to describe the optical response of periodic metasurfaces in closed-form and analytical expressions has not been formulated, and prior attempts were frequently approximate. To close this chapter, we develop a theory that analytically links the properties of the scatterer, from which a periodic metasurface is made, to its optical response via the lattice coupling matrix. The scatterers are represented by their polarizability or T matrix, and our theory works for normal and oblique incidence. We provide explicit expressions for the optical response up to octupolar order in both spherical and Cartesian coordinates. Several examples demonstrate that our analytical tool constitutes a paradigm shift in designing and understanding optical metasurfaces. Novel fully-diffracting metagratings and particleindependent polarization filters are proposed, and novel insights into the response of Huygens' metasurfaces under oblique incidence are provided. Our analytical expressions are a powerful tool for exploring the physics of metasurfaces and designing novel flat optics devices.

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Electronic Structure of bcc Lithium under an External Impact

Попов

Popov

2022

J. Exp. Theor. Phys.

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Calculation of lattice sums of general type

Cited by 3 publications

References 18 publications

A Comprehensive Multipolar Theory for Periodic Metasurfaces

A Comprehensive Multipolar Theory for Periodic Metasurfaces

A Comprehensive Multipolar Theory for Periodic Metasurfaces

Electronic Structure of bcc Lithium under an External Impact

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