The Double PEC Wedge Problem: Diffraction and Total Far Field

Daniele, Vito; Lombardi, Guido; Zich, R.E.

doi:10.1109/tap.2018.2877260

Cited by 28 publications

(13 citation statements)

References 70 publications

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“…Consider the case where the IE cylinder shown in Fig. 1 is replaced by a cylindrical numerical PEC of r = 1λ [4], [27], [28], and illuminated by a plane wave impinging at an angle of 45 • from −x-axis. The goal of an IE is to keep a portion of impinging EM energy locked on the surface, and release it towards the shadow region.…”

Section: B Passive Diffracting Iementioning

confidence: 99%

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Reconfigurable Intelligent Edges: Illuminating the Shadow Region in Wireless Networks

Cotton¹,

Abbasi²,

Machado³

et al. 2022

IEEE Access

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This paper proposes a new wireless enabling technology for future smart radio environments. The approach aims to enhance signal coverage within the shadow region(s) of wireless networks with the aid of so-called 'intelligent edges (IEs)'. IEs may be installed at the fringes of shadowing objects such as buildings, walls and other obstacles which obscure the optical signal path from a transmitter to receiver. We investigate two different approaches to illuminating the shadow region in wireless networks using IEs which exploit refraction or diffraction, operating in passive or active mode. The operation of IE-assisted communications are investigated, in particular the ways they can redirect electromagnetic energy towards regions with little or no wireless network coverage. Following from this, a number of variations of IEs are tested in real-world scenarios which consider illuminating the shadow region behind high-rise buildings, first in a city center, and then along a shoreline. Refractive IEs in particular, are shown to provide significant gains compared to the case when no IEs are involved, enhancing signal reception in the shadow region at street level behind a high rise building by as much as 12 dB. Critically, it is shown that intelligent edges offer a low complexity and cost-effective solution for improving connectivity in shadowing-limited environments.

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Section: B Passive Diffracting Iementioning

confidence: 99%

“…Pathloss prediction models and algorithms have long considered the effects of electromagnetic (EM) propagation over buildings [2]- [4] and around corners in-buildings [5]- [7]. Taking a dense city center environment as an example, buildings are often closely spaced and multiple stories high.…”

Section: Introductionmentioning

confidence: 99%

Reconfigurable Intelligent Edges: Illuminating the Shadow Region in Wireless Networks

Cotton¹,

Abbasi²,

Machado³

et al. 2022

IEEE Access

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“…In Section V, we extensively apply the following generalized Cauchy decomposition formula [21], [48] in the presence of possible nonstandard singularities (offending singularities in the regularity half-plane) in general plus/minus functions:…”

Section: Description Of the Problem Andmentioning

confidence: 99%

Physical and Spectral Analysis of a Semi-Infinite Grounded Slab Illuminated by Plane Waves

Daniele

Lombardi

Zich

2022

IEEE Trans. Antennas Propagat.

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In this article, we study the scattering problem of a truncated grounded slab illuminated by an arbitrarily incident E z -polarized plane wave. We present a solution using the novel semianalytical spectral method based on an original extension of the Wiener-Hopf (WH) technique that uses the concept of characteristic Green's function and the Fredholm factorization technique. The combination of these mathematical tools allows to extend the capabilities of classical WH method to a new set of problems. One of the main benefits of the proposed semianalytical solution is that it allows the computation of field components similar to what is done with closed-form spectral solutions when available. Physical phenomena, such as the reflection, diffraction, and excitation of surface/leaky waves, are reported. Numerical results validate the proposed methodology.

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“…This computation can be difficult in elasticity, see Gautesen's group works [14]. Property (ii) allows the possibility to study complex wave motion problems constituted of different angular subregions or angular regions connected to planar stratified media, see in electromagnetics [21][22][23][24]. The third and the fourth characteristics allow the derivation of GWHEs in isotropic elastic media with plane wave source at skew incidence and in the general case of an elastic wedge filled by anisotropic medium.…”

Section: Introductionmentioning

confidence: 99%

The generalized Wiener–Hopf equations for the elastic wave motion in angular regions

Daniele

Lombardi

2022

Proc. R. Soc. A.

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In this work, we introduce a general method to deduce spectral functional equations in elasticity and thus, the generalized Wiener–Hopf equations (GWHEs), for the wave motion in angular regions filled by arbitrary linear homogeneous media and illuminated by sources localized at infinity. The work extends the methodology used in electromagnetic applications and proposes for the first time a complete theory to get the GWHEs in elasticity. In particular, we introduce a vector differential equation of first-order characterized by a matrix that depends on the medium filling the angular region. The functional equations are easily obtained by a projection of the reciprocal vectors of this matrix on the elastic field present on the faces of the angular region. The application of the boundary conditions to the functional equations yields GWHEs for practical problems. This paper extends and applies the general theory to the challenging canonical problem of elastic scattering in angular regions.

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The Double PEC Wedge Problem: Diffraction and Total Far Field

Cited by 28 publications

References 70 publications

Reconfigurable Intelligent Edges: Illuminating the Shadow Region in Wireless Networks

Reconfigurable Intelligent Edges: Illuminating the Shadow Region in Wireless Networks

Physical and Spectral Analysis of a Semi-Infinite Grounded Slab Illuminated by Plane Waves

The generalized Wiener–Hopf equations for the elastic wave motion in angular regions

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