Mode basis method for spherical tem - transmission lines and antennas

Butrym, A. Yu.; Kochetov, Bogdan A.

doi:10.1109/icatt.2007.4425171

Cited by 8 publications

(13 citation statements)

References 2 publications

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“…A. Tretyakov method) for conical transmission lines [42][43][44] is applied here. In the framework of the method, the electric E( r, t) and magnetic H( r, t) field strengths are presented as the field expansions over spherical TE, TM and TEM waves:…”

Section: Problem Solutionmentioning

confidence: 99%

“…In the present paper a new mathematical model based on METD is proposed to study the processes of transient electromagnetic waves excitation and propagation in an asymmetrical biconical transmission line with radial-inhomogeneous magneto-dielectric filling [42,43]. In the framework of the proposed model the process of transient TE wave excitation by the ring electric current in both homogeneous and radially inhomogeneous biconical line is analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…METD is more special method, which is appropriate to solve problems of electromagnetic waves excitation and propagation in waveguides [17][18][19][20][21][22][23][24][25][26][27][28], cavities [29][30][31][32][33], free space, some other media and structures [34][35][36][37][38][39]. Also METD is developed for studying the transient electromagnetic processes in conical transmission lines [40][41][42][43][44]. In order to use METD for solving electromagnetic pulse diffraction problems on a junction of two regular transmission lines, Mode Matching Time Domain Method was developed [9,10].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Problem Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Kochetov¹,

Butrym²

2013

PIER B

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“…The same approach was applied in [24] but the obtained field expansion wasn't complete. The drawback was eliminated in [25] that permitted to solve radiation problems [26][27][28][29]. The comparison of the analytical and numerical solutions of the problem of propagation of spherical electromagnetic wave with arbitrary time dependence from a radiator with the results of direct three-dimensional numerical simulation is carried out.…”

Section: Introductionmentioning

confidence: 99%

Evolution of Transient Electromagnetic Fields in Radially Inhomogeneous Nonstationary Medium

Dumin¹,

Katrich²

2010

PIER

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Abstract-To solve radiation problems in time domain directly the modal representation of transient electromagnetic fields is considered. Using evolutionary approach the initial nonstationary threedimensional electrodynamic problem is transformed into the problem for one-dimensional evolutionary equations by the construction of the modal basis for electromagnetic fields with arbitrary time dependence in spherical coordinate system. Elimination of the radial components of electrical and magnetic field from Maxwell equation system permits to form the four-dimensional differential operators. It is proved that the operators are self-adjoint ones. The eigen-functions of the operators form the basis. The completeness of the basis is proved by means of Weyl Theorem about orthogonal detachments of Hilbert space. The expansion coefficients of arbitrary electromagnetic field are found from 404Dumin, Dumina, and Katrich the set of evolutionary equations. The transient electromagnetic field can be found directly without Fourier transform application by means of one-dimensional FDTD method for the medium with dependence on longitudinal coordinate and time or using Laplace transform and wave splitting for the case of homogeneous stationary medium. The above mentioned methods are compared with the three-dimensional FDTD method for the case of the problem of small loop excitation by transient current.

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“…In this paper we are going to apply a similar technique to the most general problem in spherical coordinates described above, i.e., with medium inhomogeneity of kind ε( r, t) = ε (r, t)ε ⊥ (θ, ϕ) and µ( r, t) = µ (r, t)µ ⊥ (θ, ϕ). The proposed technique has been first reported in [33]. The method of mode expansion in time domain in spherical coordinates was applied to study impulse wave radiation by a biconical antenna in [34].…”

Section: Introductionmentioning

confidence: 99%

Mode Expansion in Time Domain for Conical Lines With Angular Medium Inhomogeneity

Butrym¹,

Kochetov²

2010

PIER B

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Abstract-A new modification of the method of Mode Expansion in Time Domain is proposed for studying transient signals propagation in conical lines (including multi-connected ones) with inhomogeneous and time-dependent medium. The method is based on expanding the fields in spherical coordinate system into series of angular dependent modes with mode amplitudes being governed by a system of coupled evolutionary equations. The medium parameters (permittivity and permeability) are taken in a factorized form as a product of angular dependent factor and a factor that depends on time and radial coordinate. The introduced method can be applied to analysis of propagation and radiation in conical-like antennas with dielectric filling.

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Mode basis method for spherical tem - transmission lines and antennas

Cited by 8 publications

References 2 publications

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

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

Evolution of Transient Electromagnetic Fields in Radially Inhomogeneous Nonstationary Medium

Mode Expansion in Time Domain for Conical Lines With Angular Medium Inhomogeneity

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