Closed-Form Green's Function Representations for Mutual Coupling Calculations Between Apertures on a Perfect Electric Conductor Circular Cylinder Covered With Dielectric Layers

Akyuz, Murat Sencer; Ertürk, Vakur B.; Kalfa, Mert

doi:10.1109/tap.2011.2158787

Cited by 13 publications

(13 citation statements)

References 13 publications

(39 reference statements)

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“…In (7), t1 = t2 = 0 for the uv = zz, t1 = 0, t2 = 1 for the uv = zφ (= φz due to reciprocity), t1 = t2 = 1 for uv = φφ cases, whereas in (8), F −1 {·} denotes the inverse Fourier transform (IFT), n is the cylindrical eigenmode, β = ρφ and β = ρ φ , k the first, second, and the fourth terms are calculated in closed-form via generalized pencil of function (GPOF) method [23] on a deformed path (as done in [14]) since they do not have any singularity, whereas the third (axial line singularity related term) and the fifth (space domain singularity related term) terms are calculated analytically during the mutual admittance calculations. Although, (8) is obtained for every u and v, in this work we only use uv = zz case.…”

Section: Hm(ii) Uv2mentioning

confidence: 99%

Analysis of Slotted Sectoral Waveguide Arrays With Multilayered Radomes

Kalfa

Ertürk

2016

IEEE Trans. Antennas Propagat.

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Abstract-A method of moments/Green's function (MoM/GF) technique in the space domain is used for the rigorous and fast analysis of cylindrically conformal slotted sectoral waveguide arrays (SSWGAs) in the presence of multilayered cylindrical dielectric radomes. Representing the slots by fictitious magnetic currents via the equivalence principle, the geometry is divided into two regions and separate GF representations for each region are developed to be used in conjunction with the MoM procedure. Particularly, in the region that constitutes the cylindrically stratified medium, the newly developed closed-form GF representations for magnetic currents are valid for all source and observation points, including the source region (where source and observation points are on the top of each other). Basic performance metrics of an SSWGA such as equivalent slot currents, S-parameters, radiation patterns in the presence of a multilayered cylindrical radome are presented to assess the accuracy and efficiency of the proposed technique.Index Terms-Closed-form Green's functions (GF), conformal antennas, method of moments (MoM), slotted sectoral waveguide arrays.

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Section: Hm(ii) Uv2mentioning

confidence: 99%

Analysis of Slotted Sectoral Waveguide Arrays With Multilayered Radomes

Kalfa

Ertürk

2016

IEEE Trans. Antennas Propagat.

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“…As a third step, we subtract from , and the remaining term is approximated in terms of pole-residue expressions via the rational function fitting method (RFFM) [21], [22] as (15) where and are the normalized surface wave poles (SWPs) and the associated residues, respectively. The complex poles can be obtained through a modified vector fitting algorithm [21] or total least squares method [23], [24].…”

Section: Formulationmentioning

confidence: 99%

“…In this way, possible overflow/underflow problems are avoided during the series summation, making it possible to handle relatively large cylinders. Following this work, in [15] the CFGF representation is employed to analyze mutual coupling between apertures on a coated perfect electric conductor (PEC) cylinder. Numerical results provided in [14] and [15] show a good accuracy of mutual coupling results for a cylinder with a radius as large as , wherein is the free-space wavelength.…”

Section: Introductionmentioning

confidence: 99%

“…Following this work, in [15] the CFGF representation is employed to analyze mutual coupling between apertures on a coated perfect electric conductor (PEC) cylinder. Numerical results provided in [14] and [15] show a good accuracy of mutual coupling results for a cylinder with a radius as large as , wherein is the free-space wavelength. However, the accuracy degrades in the far field since the surface waves and/or lateral waves are not properly accounted for.…”

Section: Introductionmentioning

confidence: 99%

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Accurate Calculation of Mutual Coupling Between Apertures on a Large Coated Cylinder Using Mixed Potential Green's Functions

Zeng¹,

Jiang²,

et al. 2014

IEEE Trans. Antennas Propagat.

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A rigorous approach based on the closed-form mixed potential Green's function (MPGF) is developed to evaluate mutual coupling between apertures on an electrically large cylinder with dielectric covers. An improved procedure is outlined to provide accurate values of the MPGF both in the near and far field, including the axial line region. The cylindrical functions are represented in the form of ratios to avoid the numerical instabilities, making the MPGF able to handle electrically large problems. As a result, a high degree of accuracy is ensured in the calculation of the mutual admittance between two apertures with large separation on an electrically large cylinder. This approach is validated by comparison with published data, and its ability in dealing with complex and electrically large problems is also verified.Index Terms-Cylindrically stratified media, mixed potential Green's function (MPGF), mutual coupling, rational function fitting method (RFFM).

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“…where f 11 r1 , f 21 r2 , f 12 r3 , and f 22 r4 are the corresponding entries of the 2 × 2 matrixF r1 ,F r2 ,F r3 , andF r4 , which are the same as Equations (6)- (9) in [24].…”

Section: Eh Pqmentioning

confidence: 99%

An Efficient Method for the Computation of Mixed Potential Green's Functions in Cylindrically Stratified Media

Ye¹,

Xiao²,

Qiu³

et al. 2012

PIER

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Abstract-Closed-form mixed potential Green's functions (MPGFs) for cylindrically stratified media are derived in terms of quasistaticwave and surface-wave contributions. In order to avoid possible overflow/underflow problems in the numerical calculations of special cylindrical functions such as Bessel and Hankel functions, a novel form of the spectral-domain MPGFs is developed. Then, a twolevel methodology is used for the approximation of the spectraldomain MPGFs. In the first step, the qusistatic components are extracted from the spectral-domain MPGFs, and then transformed into the space domain with the use of the Sommerfeld identity and its derivatives. In the second step, the remaining parts of the spectral-domain MPGFs are approximated in terms of pole-residue expressions via the rational function fitting method (RFFM). The proposed method is efficient and fully automatic, which avoids an analytical cumbersome extraction of the surface wave poles (SWPs), prior to the spectrum fitting. In addition, this method can evaluate the spatial-domain MPGFs accurately and efficiently for both the nearand far-fields. Finally, numerical results for the spatial-domain MPGFs of a two-layer structure are presented and discussed.

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Closed-Form Green's Function Representations for Mutual Coupling Calculations Between Apertures on a Perfect Electric Conductor Circular Cylinder Covered With Dielectric Layers

Cited by 13 publications

References 13 publications

Analysis of Slotted Sectoral Waveguide Arrays With Multilayered Radomes

Analysis of Slotted Sectoral Waveguide Arrays With Multilayered Radomes

Accurate Calculation of Mutual Coupling Between Apertures on a Large Coated Cylinder Using Mixed Potential Green's Functions

An Efficient Method for the Computation of Mixed Potential Green's Functions in Cylindrically Stratified Media

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