High-Frequency Diffraction of a Plane Electromagnetic Wave by an Elongated Spheroid

Andronov, I. V.; Bouche, Daniel; Duruflé, Marc

doi:10.1109/tap.2012.2207683

Cited by 27 publications

(15 citation statements)

References 9 publications

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“…The integrals converge quite rapidly and only a small interval contributes to the integral. As shown in [8] the function A reduces to the Fock function (11), when χ → +∞.…”

Section: Boundary Conditions and The Induced Currentsmentioning

confidence: 88%

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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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“…The integrals converge quite rapidly and only a small interval contributes to the integral. As shown in [8] the function A reduces to the Fock function (11), when χ → +∞.…”

Section: Boundary Conditions and The Induced Currentsmentioning

confidence: 88%

“…We use the stretched coordinate σ in which the "size" of the spheroid changes with frequency, but the asymptotic approximation remains unchanged. (More results can be found in [8]). Figure 2 shows that the Fock formula underestimates the values for the currents.…”

Section: Moderately Elongated Bodiesmentioning

confidence: 90%

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

Andronov¹,

Mittra²

2015

PIER

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“…þ1. For smaller values of the elongation parameter we have not checked the validity of our formula, but such checking was performed in a similar problem of electromagnetic waves diffraction 15 and showed good approximating properties of the asymptotics.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

High-frequency acoustic scattering from prolate spheroids with high aspect ratio

Andronov

2013

The Journal of the Acoustical Society of America

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The problems of high-frequency scattering by prolate soft and hard spheroids with high aspect ratio are studied. The asymptotics of the diffracted field and the far field amplitude are derived under the assumption that the spheroid is strongly elongated; that is, the ratio of its length measured in wavelengths to the square of its transverse wave size is on the order of unity. This ratio is presented as a parameter in all the asymptotic formulas, namely, in the asymptotics of the forward diffracted wave, the wave that is formed when forward wave "reflects" from the spheroid end, in the asymptotics of the far field amplitude, and effective cross-section. If this ratio tends to zero, the asymptotic formulas turn into classical. On the basis of the derived asymptotic formulas, the effects of the degree of elongation and the angle of incidence on the diffracted and scattered fields are analyzed. Comparison with some test examples allows one to expect good approximating properties of the presented asymptotic formulas.

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“…However, classical in the theory of diffraction high-frequency asymptotic approximations may appear inapplicable if the body is too much elongated [1] or slender [2]. For such problems, the special asymptotic technique have been developed, namely diffraction by strongly elongated spheroids have been studied in [3], [4], [5] and problems of diffraction by elliptic cylinders with an elongated cross-section have been examined in [6], [7], [8]. In all these papers the boundary conditions on the surface of the body have been considered ideal, i.e.…”

Section: Introductionmentioning

confidence: 99%

Diffraction by an Impedance Strip at Almost Grazing Incidence

Andronov

Petrov²

2016

IEEE Trans. Antennas Propagat.

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The high frequency asymptotic approach to diffraction by strongly elongated bodies is generalized to the case of the impedance boundary conditions. However, this is done only in the limiting case of infinitely flat elliptic cylinder. The representations for the field in the boundary-layer near the surface of the strip and for the radar cross-section in the case of small scattering angles are derived and tested.

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High-Frequency Diffraction of a Plane Electromagnetic Wave by an Elongated Spheroid

Abstract: An asymptotic formula for the problem of diffraction by a strongly elongated body of revolution is constructed. Its uniform nature with respect to the parameter that characterizes the rate of elongation is demonstrated. The results are in good agreement with numerical simulations.

Cited by 27 publications

References 9 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)

High-frequency acoustic scattering from prolate spheroids with high aspect ratio

Diffraction by an Impedance Strip at Almost Grazing Incidence

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