Solving the Axial Line Problem for Fast Computation of Mixed Potential Green's Functions for Cylindrically Stratified Media

Ye, Liangfeng; Chai, Shugen; Zhang, Hai-Sheng; Peng, Da; Xiao, Ke

doi:10.1109/tmtt.2012.2228217

Cited by 11 publications

(14 citation statements)

References 23 publications

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“…Following the framework in [20], the spectral-domain MPGF for tangential magnetic sources are written in the following form (2) wherein , with being the wavenumber of layer , and being the wavenumber in direction. stands for , or .…”

Section: Formulationmentioning

confidence: 99%

“…As pointed out in [20], in order to obtain stable results when tends to zero, a two-term asymptotic behavior of the spectral-domain MPGF should be extracted. Following [20], this two-term asymptotic part can be derived as (6) As shown in (6), to obtain convergent results, needs to be extracted for case , i.e., and , while both and should be extracted for case , i.e., .…”

Section: Formulationmentioning

confidence: 99%

“…Following [20], this two-term asymptotic part can be derived as (6) As shown in (6), to obtain convergent results, needs to be extracted for case , i.e., and , while both and should be extracted for case , i.e., . and can be derived and written as Using [13, eq.…”

Section: Formulationmentioning

confidence: 99%

“…Hence, it is of great interest to develop an accurate and efficient approach for the computation of the MPGF [16]- [20]. Recently, a novel procedure is outlined to generate accurate MPGF results both in the near and far field [19].…”

Section: Introductionmentioning

confidence: 99%

“…However, this procedure cannot deal with the axial line problem, rendering it not versatile in the MoM application. To overcome this disadvantage, a systematic methodology is developed in [20] to derive two-term asymptotic expressions for the spectral-domain MPGF, and the axial-line singularity is alleviated with the analytical extraction of the asymptotic terms. Unfortunately, this method only achieves accurate results in the near field (typically less than ), and obviously cannot be used for mutual coupling problems.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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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Section: Formulationmentioning

confidence: 99%

Section: Formulationmentioning

confidence: 99%

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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.

Self Cite

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Schelkunoff Formulation of the Sommerfeld Integral for the Hertzian Dipole Located in the Vicinity of Cylindrical Structures

et al. 2022

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A numerical integration of the Sommerfeld integral is performed using the Schelkunoff formulation for cylindrical media. The Schelkunoff kernel for cylindrical media involves higher order modified Bessel functions with azimuthal summation over higher order modes. As such, the convergence characteristics of the cylindrical integral kernel are strongly dependent on complex linear combinations of higher order Bessel/Hankel/modified Bessel functions, compared to the case of the planar media where only a single Bessel/modified Bessel function of zeroth order is present. Two cylindrical configurations are analyzed using the new formulation, viz. a conducting cylinder and a dielectric‐coated conducting cylinder. The branch‐point singularity in the first configuration is removed using the angular transformation for the Sommerfeld/Schelkunoff formulations. A path deformation technique is used for the second configuration to address the problem of poles and branch‐point singularities on the real axis of integration. The in‐depth analysis of the cylindrical kernels and the integrals with variation in the location of the observation point clearly bring out the relative merits of both formulations for the cylindrical configurations, with the TE/TM coupling for the coated cylinder considered.

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Mode excitation and radiation characteristics of antennas in cylindrically stratified media

Bhattacharya

Ghosh

Sinha

et al. 2020

IET Microwaves, Antennas & Propagation

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Guided modes excited by a current source in a multilayer cylindrical structure is thoroughly investigated. The guidance condition in the multilayer structure is formulated. Based on this, three antenna configurations in cylindrical stratified media that are of strong practical interest are rigorously investigated: viz. a monopole antenna, a conformal axially‐directed slot antenna and an azimuthal slot antenna in a cylindrical layered medium. While previous treatments of such configurations did not investigate the mode‐excitation problem of antennas in stratified cylindrical media and were limited in their applicability for a dipole antenna in a cylindrical medium or assumed the slot‐current distribution for a slot antenna over a conducting cylinder only, the current investigation provides an in‐depth and rigorous insight to the modes excited and power coupled to the excited modes for the antenna configurations and removes such restrictions. In addition to the efficient and rigorous investigation of the coupling problem for the three antenna structures, the radiation characteristics of the antenna configurations are also evaluated using the method of stationary phase, enabling a comprehensive treatment of the antenna structures from both the coupling and radiation aspects.

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Solving the Axial Line Problem for Fast Computation of Mixed Potential Green's Functions for Cylindrically Stratified Media

Cited by 11 publications

References 23 publications

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

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

Schelkunoff Formulation of the Sommerfeld Integral for the Hertzian Dipole Located in the Vicinity of Cylindrical Structures

Mode excitation and radiation characteristics of antennas in cylindrically stratified media

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