Introduction to electromagnetic scattering: tutorial

Frezza, Fabrizio; Tedeschi, Nicola

doi:10.1364/josaa.35.000163

Cited by 82 publications

(50 citation statements)

References 39 publications

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“…The scattering of light by particles is one of the classical problems in the theory of electromagnetism and optics (see classical textbooks [1][2][3] and the recent review [4]). Initially, the scattering theory (known as Mie scattering theory) was developed for homogeneous spherical particles, for which exact analytical solutions can be derived in the form of multipole expansions.…”

Section: Introductionmentioning

confidence: 99%

Transparency and perfect absorption of all-dielectric resonant metasurfaces governed by the transverse Kerker effect

Shamkhi

Sayanskiy

Valero

et al. 2019

Phys. Rev. Materials

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Dielectric metasurfaces perform unique photonics effects and serve as the engine of nowadays lightmatter technologies. Here, we suggest theoretically and demonstrate experimentally the realization of a high transparency effect in a novel type of all-dielectric metasurface, where each constituting meta-atom of the lattice presents the so-called transverse Kerker effect. In contrast to Huygens' metasurfaces, both phase and amplitude of the incoming wave remain unperturbed at the resonant frequency and, consequently, our metasurface totally operates in the invisibility regime. We prove experimentally, for the microwave frequency range, that both phase and amplitude of the transmitted wave from the metasurface remain almost unaffected. Finally, we demonstrate both numerically and experimentally and explain theoretically in detail a novel mechanism to achieve perfect absorption of the incident light enabled by the resonant response of the dielectric metasurfaces placed in the vicinity of a conducting substrate. In the subdiffractive limit, we show the aforementioned effects are mainly determined by the optical response of the constituting meta-atoms rather than the collective lattice contributions. With the spectrum scalability, our findings can be incorporated in engineering devices for energy harvesting, nonlinear phenomena and filters applications.

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Section: Introductionmentioning

confidence: 99%

Transparency and perfect absorption of all-dielectric resonant metasurfaces governed by the transverse Kerker effect

Shamkhi

Sayanskiy

Valero

et al. 2019

Phys. Rev. Materials

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show abstract

“…4). For this purpose, the following representation of the electric scattered field was considered [32], [35]:…”

Section: Validation and Numerical Resultsmentioning

confidence: 99%

“…However, the following considerations can easily be extended to each plane with ϕ = 0. It is known that by resolving the scalar Helmholtz equation, the following scalar solution is obtained [26]- [32]:…”

Section: Theoretical Approachmentioning

confidence: 99%

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Electromagnetic Scattering by a Cylinder in a Lossy Medium of an Inhomogeneous Elliptically Polarized Plane Wave

Mangini

Dinia²,

Frezza³

2019

JTIT

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In this paper, a rigorous theoretical approach, adopted in order to generalize the Vectorial Cylindrical-Harmonics (VCH) expansion of an inhomogeneous elliptically polarized plane wave, is presented. An application of the VCH expansion to analyze electromagnetic field scattered by an infinite circular cylinder is presented. The results are obtained using the so-called complex-angle formalism reaching a superposition of Vectorial Cylindrical-Harmonics. To validate the method, a Matlab code was implemented. Also, the validity of the methodology was confirmed through some comparisons between the proposed method and the numerical results obtained based on the Finite Element Method (FEM) in the canonical scenario with a single cylinder.

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“…The radar cross section of a PEC sphere is well known, and its derivation can be found in a number of works in the field, for example, Balanis (), Frezza et al (), and (Ruck et al, ). The radar cross section of a PEC sphere for the monostatic case can be written as

σ_{Sphere} = \frac{λ^{2}}{4 π} {(||, true \sum_{n = 1}^{\infty} \frac{{false(- 1 false)}^{n} false(2 n + 1 false)}{([], \frac{\partial}{\partial false(β_{0} r false)} h_{n}^{false(2 false)}) false(β_{0} a false) h_{n}^{false(2 false)} false(β_{0} a false)})}^{2},

where β 0 =| γ 0 | and

h_{n}^{false(2 false)} false(\cdot false)

is the spherical Hankel function of the second kind.…”

Section: Numerical Resultsmentioning

confidence: 99%

Electromagnetic Scattering in Curvilinear Coordinates Using a Generalized Functions Method

2019

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A system of equations for calculating the electric field in curvilinear coordinates without imposing external boundary conditions is proposed. First, the system of equations is derived using generalized functions, without imposing external boundary conditions or a coordinate system. Then, in order to demonstrate the use of the system of equations, the derived system is applied to the case of a spherical scatterer, which is then narrowed to the case of a perfect electrically conducting (PEC) sphere. It is shown that for the particular case of a PEC sphere, the resulting field expression agrees with the Stratton-Chu solution for the Maxwell's equations, confirming that the proposed method can be used to reach a general solution for the electromagnetic field scattered by a PEC sphere, which allows for the calculation of its cross section.

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Introduction to electromagnetic scattering: tutorial

Cited by 82 publications

References 39 publications

Transparency and perfect absorption of all-dielectric resonant metasurfaces governed by the transverse Kerker effect

Transparency and perfect absorption of all-dielectric resonant metasurfaces governed by the transverse Kerker effect

Electromagnetic Scattering by a Cylinder in a Lossy Medium of an Inhomogeneous Elliptically Polarized Plane Wave

Electromagnetic Scattering in Curvilinear Coordinates Using a Generalized Functions Method

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