Asymptotic and Hybrid Methods in Electromagnetics

Molinet, F.; Andronov, I. V.; Bouche, Daniel

doi:10.1049/pbew051e

Cited by 40 publications

(35 citation statements)

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“…The impact of transverse curvature on the propagation constant of creeping waves, and more specifically, the case of creeping wave on elongated bodies, has been analyzed in [12] (see also [13]). In the spirit of the work of Engineer et al [14], who have studied the problem of diffraction by 2D slender bodies, it was assumed that besides the usual asymptotic parameter kρ, the geometrical characteristics of the body form another large parameter Λ = ρ/ρ t , with which the asymptotic parameter may compete.…”

Section: Moderately Elongated Bodiesmentioning

confidence: 99%

RECENT ADVANCES IN THE ASYMPTOTIC THEORY OF DIFFRACTION BY ELONGATED BODIES (Invited Paper)

Andronov¹,

Mittra²

2015

PIER

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Abstract-The asymptotic approach to the problem of high-frequency diffraction by elongated bodies is discussed in this work. The classical expansion is shown to require the frequencies to be too high for it to be applicable. Attempts to improve the approximating properties of the asymptotic methods are discussed. It is shown that effective approximations appear under the supposition that the squared transverse dimension of the body is proportional to its longitudinal size measured in wavelengths. This is referred to herein as the case of strongly elongated body and is examined in detail. It is assumed that the body has a rotational symmetry and can be well approximated by a spheroid. The cases of axial incidence and that of incidence at a grazing angle to the axis are considered. Both the asymptotics of the induced currents on the surface and of the far field amplitude are developed. Comparison with numerical results for a set of test problems shows that the leading terms of the new asymptotics provide good approximation in a uniform manner with respect to the rate of elongation. Some effects typical for scattering by elongated bodies are discussed.

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Section: Moderately Elongated Bodiesmentioning

confidence: 99%

RECENT ADVANCES IN THE ASYMPTOTIC THEORY OF DIFFRACTION BY ELONGATED BODIES (Invited Paper)

Andronov¹,

Mittra²

2015

PIER

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“…Figure 4 shows the input impedance (Z in ) of the two considered structures against number of modes of waveguides in the frequency range [0, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. It is obvious that for all structures, the Z in 's convergence is obtained for 100 modes of waveguides.…”

Section: Convergence Studymentioning

confidence: 99%

“…Others are called asymptotic methods. They are based on fields such as GO, GTD [8][9][10], UTD [11,12] or on currents such as PO [13,14], PTD [15,16]. They provide an approximate solution of Maxwell's equations, which tends to the exact solution at very high frequency.…”

Section: Introductionmentioning

confidence: 99%

A New Hybrid Mom-Gec Asymptotic Method for Electromagnetic Scattering Computation in Waveguides

Hajji¹,

Mendil²,

Aguili³

2014

PIER B

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Abstract-This paper presents a new hybridization between MoM-GEC and some asymptotic methods. In fact, a new hybrid current function based on Physical Optic (PO) and a modal method is developed. The approach consists in approximating the total current on an invariant metallic pattern on two parts; the inside of metal is governed by PO method; however, the edges are modeled by infinite cylinders and described by Hankel functions (modal method). The considered single test function is required then by MoM method to replace a lot of sinusoidal or triangular test functions, in order to get a rapid convergence and less computational time. For validation purposes, the new developed hybrid approach is applied to compute scattering in different structures. The obtained input impedances, currents and fields distributions are in agreement with those obtained by MoM method. Considerable gain in computational time and memory resources is achieved.

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“…The other equations form a degenerated system whose compatibility conditions give a system of differential equations for the components E a and H a . The details concerning the derivation of the expressions for the two principal order terms are given in [1] and [7]. By introducing the reduced variables:…”

Section: Creeping Waves On Strongly Elongated Bodiesmentioning

confidence: 99%

Plane Wave Diffraction by a Strongly Elongated Object Illuminated in the Paraxial Diretion

Molinet¹

2008

PIER B

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Abstract-After a short presentation of the boundary layer method extended to strongly elongated objects by Andronov and Bouche [1], the author develops some techniques for deriving explicit formulas for the asymptotic currents on a strongly elongated object of revolution excited by an electromagnetic plane wave propagating in the paraxial direction. The performance of the different techniques are demonstrated by comparing numerical results obtained for the asymptotic currents on an elongated prolate ellipsoid with those obtained by solving the EFIE.

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Asymptotic and Hybrid Methods in Electromagnetics

Cited by 40 publications

References 0 publications

RECENT ADVANCES IN THE ASYMPTOTIC THEORY OF DIFFRACTION BY ELONGATED BODIES (Invited Paper)

RECENT ADVANCES IN THE ASYMPTOTIC THEORY OF DIFFRACTION BY ELONGATED BODIES (Invited Paper)

A New Hybrid Mom-Gec Asymptotic Method for Electromagnetic Scattering Computation in Waveguides

Plane Wave Diffraction by a Strongly Elongated Object Illuminated in the Paraxial Diretion

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