Method of Moments Solution of Electromagnetic Scattering Problems Involving Arbitrarily-Shaped Conducting/Dielectric Bodies Using Triangular Patches and Pulse Basis Functions

The reradiation interference from power transmission lines (PTL) on the adjacent wireless stations is directly caused by the induced current on metal parts, which means the interference could be suppressed by reducing the induced current. In order to effectively analyze the induced current of PTL, a method for analyzing induced current on PTL based on characteristic modes is proposed combining MoM with intrinsic modes. This method breaks through the traditional antenna resonance theory proposed by IEEE and could effectively avoid model equivalent defects and frequency limitations of traditional methods. Firstly, a generalized characteristic equation about the characteristic mode currents of PTL is constructed, and the numerical solutions of the characteristic mode currents are obtained by the idea of a discrete solution. Then, through the weighted orthogonal relationship between different characteristic mode currents, the expansion coefficients of the characteristic mode currents are obtained; finally, combined with the Poynting theorem, the physical meaning of the expansion coefficients and their related quantities are explained from the perspective of energy and the analysis of the induced current is realized from the physical level. The results of the example analysis show that the error between the peak frequencies of the induced current calculated by the method in this paper and the peak frequencies calculated by MoM does not exceed 2.46% and the method in this paper can well explain the disappearance of the “double wavelength loop resonance frequency” under the excitation of a vertically polarized plane wave.

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“…where f n is the basis function, and the pulse basis functions are selected for the model of PTL in the medium wave band [19].…”

Section: Te Solution Of Characteristic Mode Currents For Ptlmentioning

confidence: 99%

Analysis of Induced Current on Power Transmission Lines for the Reradiation Interference in Medium Wave Based on Characteristic Modes

Tang

Yang

Zhang³

et al. 2022

International Journal of Antennas and Propagation

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“…with r given in (7). Basis functions defined in (9) are hierarchical functions (each lower-order set of functions is a subset of all higher-order sets).…”

Section: B Higher Order 3-d Geometrical Modeling and Higher Order Bamentioning

confidence: 99%

“…most frequently applied in conjunction with the surface integral equation (SIE) approach [2], [6], [7], where both electric and magnetic equivalent (artificial) surface currents appear as unknowns in SIEs. An alternative approach to MoM analysis of dielectric scatterers is the volume integral equation (VIE) approach [8]- [11], where, employing the volume equivalence principle, a structure containing linear dielectric materials of arbitrary inhomogeneity and complexity is represented by a distribution of unknown volume electric (polarization and conduction) current (the real current) radiating in free space.…”

mentioning

confidence: 99%

Double-Higher-Order Large-Domain Volume/Surface Integral Equation Method for Analysis of Composite Wire-Plate-Dielectric Antennas and Scatterers

Chobanyan

Ilić

Notaroš

2013

IEEE Trans. Antennas Propagat.

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Abstract-A novel double-higher-order large-domain Galerkin-type method of moments based on higher order geometrical modeling and higher order current modeling is proposed for analysis of composite dielectric and metallic radiation/scattering structures combining the volume integral equation (VIE) approach for dielectric parts and the surface integral equation (SIE) approach for metallic parts of the structure. The technique employs Lagrange-type interpolation generalized hexahedra and quadrilaterals of arbitrary geometrical-mapping orders for the approximation of geometry and hierarchical divergence-conforming polynomial vector basis functions of arbitrary expansion orders for the approximation of currents within the elements. The double-higher-order VSIE (VIE-SIE) method is extensively validated and evaluated against the analytical solutions and the numerical results obtained by alternative higher order methods.Index Terms-Electromagnetic analysis, numerical techniques, method of moments, volume integral equations, higher order modeling, curved parametric elements, polynomial basis functions, wire-plate-dielectric structures, antennas, scattering.

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“…In order to be able to solve the problem of acoustic wave diffraction both on solid bodies and on flat screens, integrals with singular and hypersingular parts are used. In recent times, the methods have become very popular that use hypersingular equations, in particular, pseudodifferential equations solved using projection methods [2][3][4][5][6][7][8], and special quadrature formulas and algorithms of singularity smoothing [9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of monochromatic acoustic wave diffraction on a system of bodies and on flat screens

Даева

Beskin

Trokhachenkova

2021

J. Phys.: Conf. Ser.

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Some problems of diffraction of a monochromatic acoustic wave on surfaces of complex shapes are considered. To solve such problems, an approach is applied, in which the problem is reduced to a boundary hypersingular integral equation, where the integral is understood in the sense of a finite value according to Hadamard. Such approach allows solving diffraction problems both on solid objects and on thin screens. To solve the integral equation, the method of piecewise constant approximations and collocations, developed in the previous works of the author, is used. In the present study, examples of modeling the diffraction of an acoustic wave by bodies with partial filling are given. It is shown how the filling of bodies influences the acoustic pressure field, and the field direction patterns are given. An example of applying this approach to solving the problem of sound propagation in an urban area is also given: the diffraction of an acoustic wave from a point source on a system of buildings is considered. The presented results demonstrate that this method allows constructing reflected fields and analyze their characteristics on surfaces of complex shapes.

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Method of Moments Solution of Electromagnetic Scattering Problems Involving Arbitrarily-Shaped Conducting/Dielectric Bodies Using Triangular Patches and Pulse Basis Functions

Cited by 9 publications

References 10 publications

Analysis of Induced Current on Power Transmission Lines for the Reradiation Interference in Medium Wave Based on Characteristic Modes

Analysis of Induced Current on Power Transmission Lines for the Reradiation Interference in Medium Wave Based on Characteristic Modes

Double-Higher-Order Large-Domain Volume/Surface Integral Equation Method for Analysis of Composite Wire-Plate-Dielectric Antennas and Scatterers

Mathematical modeling of monochromatic acoustic wave diffraction on a system of bodies and on flat screens

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