A Correlation Theory of Antenna Directivity With Applications to Superdirective Arrays

Mikki, Said; Clauzier, Sébastien; Antar, Yahia M. M.

doi:10.1109/lawp.2019.2897047

Cited by 20 publications

(11 citation statements)

References 35 publications

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“…In fact, previously only the perfect-electric conducting (PEC) case was investigated mathematically at the fundamental level. It was found that in contrast to the PEC ACGF formalism, including dielectric domains with possible magnetic properties * See the literature quoted in [64] for some recent survey on the IDM method.…”

Section: Resultsmentioning

confidence: 99%

Generalized Current Green's Function Formalism for Electromagnetic Radiation by Coupled Conducting-Dielectric Systems

Mikki¹

2020

Preprint

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Section: Resultsmentioning

confidence: 99%

Generalized Current Green's Function Formalism for Electromagnetic Radiation by Coupled Conducting-Dielectric Systems

Mikki¹

2020

Preprint

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“…Unfortunately, not much has been published so far on the pure numerical issue of convergence rate and speed in the MoM-based approach to the ACGF method. † † See the literature quoted in [64] for some recent survey on the IDM method.…”

Section: On the Numerical Implementation Of The Acgf Methodsmentioning

confidence: 99%

Generalized Current Green's Function Formalism for Electromagnetic Radiation by Composite Systems

Mikki¹

2020

PIER B

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We provide an explicit geometric generalisation of the antenna current Green's function (ACGF) formalism from the perfect electric conducting (PEC) to generic interacting N-body systems composed of arbitrarily shaped coupled PEC and dielectric objects, with the main emphasis on the mathematical foundations and the rigorous construction of the Green's function using distributional limits. Starting from mainly reciprocity, surface equivalence theorems, and other typical regularity conditions, we carefully construct the current Green's function by employing a combination of methods including Riemannian geometry, distribution theory, and functional analysis. The formalism outlined here for composite domains turns out to be more complicated than the PEC-only formulation due to the former's need to explicitly account for the coupling interaction between the magnetic and electric degrees of freedom. The approach is developed for extremely general systems, and use is made of Riemannian geometry to avoid working with specific or concrete configurations, hence retaining high generality in our final conclusions. While the ACGF tensor's matrix representations depend on the coordinate system on the manifolds supporting the electromagnetic boundary conditions, we focus here on providing coordinate-independent integral expressions for the induced current. With the ACGF it is possible to theoretically treat arbitrary N-body coupled PEC-dielectric configurations as spacefrequency linear systems with an exact and rigorous response function being the current Green's function itself. While the derivation is very general, it still leaves open questions regarding whether the ACGF can be constructed for nonreciprocal systems or using volume integral equations.

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“…It captures the lth mode contribution to the ijth component (i, j = 1, 2, 3) of the nonlocal medium Green's function tensor G(k, ω). It turns out that only the antihermitian part of this medium Green's function as determined by (43) actually contributes to the real radiated power of any antenna. On the other hand, the hermitian part of G(k, ω) contributes only to the antenna near field.…”

Section: The Nonlocal Antenna System Radiation Pattern In Momentum Spacementioning

confidence: 99%

Nonlocal Antenna Theory - Part I: Foundations

Mikki¹

2020

Preprint

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A Correlation Theory of Antenna Directivity With Applications to Superdirective Arrays

Cited by 20 publications

References 35 publications

Generalized Current Green's Function Formalism for Electromagnetic Radiation by Coupled Conducting-Dielectric Systems

Generalized Current Green's Function Formalism for Electromagnetic Radiation by Coupled Conducting-Dielectric Systems

Generalized Current Green's Function Formalism for Electromagnetic Radiation by Composite Systems

Nonlocal Antenna Theory - Part I: Foundations

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