Electromagnetic Excitation of PEC Slotted Cones by Elementary Radial Dipoles—A Semi-Inversion Analysis

Semenova, E.K.; Дорошенко, В. А.

doi:10.1109/tap.2008.924718

Cited by 3 publications

(4 citation statements)

References 23 publications

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“…The result of the inversion is a rigorous solution to the corresponding initial-boundary value problem for a cone or a bicone as well as for their particular cases. The unbounded biconical PEC structure with periodic slots, considered in [54], has a number of important special cases that are interesting both for the antenna theory and for practical applications. Among them, there are the models of objects of natural origin, conical and biconical slotted antennas and reflectors [2,3,7,8,12,16,20,22], plane linearly tapered and butterfly type slot antennas [23,25,26], and conical slotted antennas located over the plane underlying surface [21].…”

Section: Doroshenko and Stogniimentioning

confidence: 99%

“…The MAR occupies a special place in the analysis of the scattering from the PEC conical and biconical scatterers, both infinite [31] and finite, including truncated cones [33,39,47]. In [54], the problem of elementary dipole excitation of an unbounded biconical PEC structure with longitudinal periodic slots was considered. As is known, the presence of slots on the surface of the cone contributes to the expansion of the frequency range of the corresponding realistic antenna [1].…”

Section: Introductionmentioning

confidence: 99%

“…As is known, the presence of slots on the surface of the cone contributes to the expansion of the frequency range of the corresponding realistic antenna [1]. To solve this problem, the authors of [54] used the Kontorovich–Lebedev integral transform in combination with the MAR, and an analysis of the influence of longitudinal slots on the near and far field was carried out.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Integral transforms and the regularisation method in the time‐domain excitation of open PEC slotted cone scatterers

Doroshenko

Stognii

2021

IET Microwaves Antenna & Prop

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An initial-boundary value problem for the transient electromagnetic field in the presence of a complicated-shape scatterer is studied. The considered biconical zero-thickness and perfectly conducting surface with periodic longitudinal slots has many special cases, each of which is of separate practical interest. A new analytical-numerical technique is presented that is based on the Mehler-Fock integral transform and the method of analytical regularisation. The source of excitation of the slotted bicone is a radial electric dipole with an arbitrary time dependence on the field. The proposed method makes it possible to obtain an analytical and numerical solution of the problem to carry out a qualitative and numerical analysis, and to study the characteristic features of the main scattering. Due to the use of the method, the initial-boundary value problem is reduced to a Fredholm type of the second kind system of linear algebraic equations (SLAE-2). The dependences of the condition number on the problem parameters and the estimation of the SLAE-2 convergence with larger truncation orders are given. The far-field radiation patterns are plotted for various values of the problem parameters, the behaviour of the near field at the apex of the slotted cone is studied, and the regime of the slot wave propagation is analysed.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Doroshenko and Stogniimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Integral transforms and the regularisation method in the time‐domain excitation of open PEC slotted cone scatterers

Doroshenko

Stognii

2021

IET Microwaves Antenna & Prop

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“…In papers [9,10] a problem of transient TEM wave excitation and diffraction in the biconical antenna has been solved in the time domain using an approach based on mode matching incorporated into the finite difference time stepping scheme for the mode channels. The problems of electromagnetic waves excitation in complex structures of slotted cones have been solved rigorously in [11,12].…”

Section: Introductionmentioning

confidence: 99%

Axially Symmetric Transient Electromagnetic Fields in a Radially Inhomogeneous Biconical Transmission Line

Kochetov¹,

Butrym²

2013

PIER B

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Abstract-In the present paper a novel mathematical model of physical processes of transient electromagnetic waves excitation and propagation in a biconical transmission line with radially inhomogeneous magneto-dielectric filling is proposed. The model is based on time domain mode expansions over spherical waves. The basis functions of the mode expansions are calculated analytically. The mode expansion coefficients are governed by Klein-Gordon-Fock equation with coefficients depending on a radial spatial coordinate. The explicit finite difference time domain computational scheme is derived to calculate the mode expansion coefficients. Dependences of cutoff frequencies of higher modes of TE and TM waves on the line geometry and dielectric filling are studied. In order to calculate electromagnetic field in the line with higher accuracy, just finite number of terms in the mode expansions is required. Electromagnetic field excited by the transient electric ring current is calculated in both homogeneous and radially inhomogeneous biconical transmission line. It is shown that there is a possibility to increase the bandwidth of the line via introduction of partial dielectric filling without changing the line geometrical size.

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Mathematical Modelling of Impulse Excitation of a Superwideband PEC Cone Antenna

Doroshenko¹,

Klimova²,

Stognii³

et al. 2019

2019 IEEE 8th International Conference on Advanced Optoelectronics and Lasers (CAOL)

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Electromagnetic Excitation of PEC Slotted Cones by Elementary Radial Dipoles—A Semi-Inversion Analysis

Cited by 3 publications

References 23 publications

Integral transforms and the regularisation method in the time‐domain excitation of open PEC slotted cone scatterers

Integral transforms and the regularisation method in the time‐domain excitation of open PEC slotted cone scatterers

Axially Symmetric Transient Electromagnetic Fields in a Radially Inhomogeneous Biconical Transmission Line

Mathematical Modelling of Impulse Excitation of a Superwideband PEC Cone Antenna

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