Alternative Method for Obtaining Antenna Current Green’s Function Based on Infinitesimal Dipole Modeling

Yang, Soo Hyung; Kim, Young Dam; Jo, Hye-Won; Myung, Noh‐Hoon

doi:10.1109/tap.2019.2894279

Cited by 11 publications

(13 citation statements)

References 26 publications

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“…where Eqs. (18), (22), (23), (31) were used. The integral (37) is in fact a global integral defined over the entire surface S. It is originally written in terms of the local coordinates ϕ i on the patch U i .…”

Section: Exact Derivation Of the Generalized Acgf Tensor Array In Minmentioning

confidence: 99%

“…Applications of the ACGF method in engineering spans topics like mutual coupling analysis [17], mutual coupling compensation [18][19][20], fast EM computation of large system [21][22][23], alternative methods to compute the near-field response [24], and wireless communications [25][26][27] (more applications are discussed in [1].) Most past researches have been so far highlighting applications, with considerably less emphasis on the theoretical, physical, and mathematical foundations, especially for extremely generic radiating systems.…”

Section: Introductionmentioning

confidence: 99%

“…Even though the ACGF formalism has been utilized in the analysis and design of various antenna systems [1, 14-16, 20, 21, 24, 27, 30], including mixed PEC-dielectric configurations [18,22,23], to the best of our knowledge there currently exists no published account of how the formalism can be derived and formulated for the general case of multiple PEC and dielectric objects existing simultaneously in the system. Moreover, even the single-dielectric type case, i.e., one all-dielectric inhomogeneous domain in PEC-free system, has never been treated in print anywhere.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: Exact Derivation Of the Generalized Acgf Tensor Array In Minmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Mikki¹

2020

PIER B

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“…(36) where (18), (22), (23), (31) are used. The integral (35) is in fact a global integral defined over the entire surface S. It is originally written in terms of the local coordinates ϕ i on the patch U i .…”

Section: Exact Derivation Of the Generalized Acgf Tensor Array In Minmentioning

confidence: 99%

“…This formulation is more natural because it allows a uniform treatment of a wider class electromagnetic problems as input-output systems with the same signal type present at both the excitation and response "terminals": i.e., electromagnetic fields [1]. Applications of the ACGF method in engineering spans topics like mutual coupling analysis [17], mutual coupling compensation [18][19][20], fast EM computation of large system [21][22][23], alternative methods to compute the near-field response [24], and wireless communications [25][26][27] (more applications are discussed in [1].) Most research has been focusing so far on applications with little emphasis on the theoretical, physical, and mathematical foundations, especially for general radiating systems.…”

Section: Introductionmentioning

confidence: 99%

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

Mikki¹

2020

Preprint

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The Spatial Singularity Expansion Method for Electromagnetics

2019

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We develop a general singularity expansion method (SEM) focused on the spatial structure of electromagnetic fields and currents. In contrast to the traditional temporal SEM, where complex analytical continuation is performed on the forward Green's function of free space, we propose applying the SEM to the reverse Green's function of the electromagnetic device, the recently introduced antenna current Green's function, leading to the discovery of new current and radiation modes. The new spatial SEM turns out to depend only on single-frequency field/current measurement besides completely avoiding the problem of separating early-and late-time responses that have been hindering the traditional approach. The theory is first developed at a very general level and then applied in detail to 1-D wire antennas. We manage to express the far field in terms of the spatial-SEM modes in a closed analytical form. The theory is confirmed by directly comparing with the full-wave method of moment solutions, and excellent agreement between theory and numerical analysis was obtained for generic wire array configurations. The resulting spatial-SEM is expected to stimulate researches into a new generation of frequency-domain RCS target identification technologies and electromagnetic sensing by developing special algorithms relying mainly on the spatial structure of the fields and currents fed by measurements at single frequency instead of the time-domain data usually required in traditional SEM.INDEX TERMS Singularity expansion method (SEM), Green 's functions, numerical methods. A. REVIEW OF FORWARD AND INVERSE GREEN'S FUNCTIONS IN ELECTROMAGNETICS 1) FORWARD GREEN'S FUNCTIONSConsider a radiating current J (r, t) (on an antenna, scatterer, combination of both) with support region V s and enclosing

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Alternative Method for Obtaining Antenna Current Green’s Function Based on Infinitesimal Dipole Modeling

Cited by 11 publications

References 26 publications

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

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

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

The Spatial Singularity Expansion Method for Electromagnetics

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