ASYMPTOTIC OF CREEPING WAVES ON A STRONGLY PROLATE BODY

I.V. Andronov, D. Bouche

Research output

32 Citations (Scopus)

Abstract

We study the influence of a small transverse radius of curvature ρt on the acoustic or electromagnetic waves propagating on the surface of a convex body by the boundary- layer method. For ρt of order k-1/3, the dependency of the field near the surface along the normal is shown to be, as when ρt is of order 1, described by the Fock- Airy function ω1. However, ρt modifies the attenuation and velocity of the waves, by introducing an exponential term. For ρt or order k-2/3, the normal dependency of the field is described by a new special function, depending on ρt The propagation constant of the wave can be obtained by solving an equation involving this function. © 1994 Springer-Verlag.
Original languageEnglish
Pages (from-to)205-210
JournalAnnales des Telecommunications
Volume49
Issue number3-4
Publication statusPublished - 1994
Externally publishedYes

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Electromagnetic waves
Boundary layers
Acoustic waves

Cite this

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title = "ASYMPTOTIC OF CREEPING WAVES ON A STRONGLY PROLATE BODY",
abstract = "We study the influence of a small transverse radius of curvature ρt on the acoustic or electromagnetic waves propagating on the surface of a convex body by the boundary- layer method. For ρt of order k-1/3, the dependency of the field near the surface along the normal is shown to be, as when ρt is of order 1, described by the Fock- Airy function ω1. However, ρt modifies the attenuation and velocity of the waves, by introducing an exponential term. For ρt or order k-2/3, the normal dependency of the field is described by a new special function, depending on ρt The propagation constant of the wave can be obtained by solving an equation involving this function. {\circledC} 1994 Springer-Verlag.",
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ASYMPTOTIC OF CREEPING WAVES ON A STRONGLY PROLATE BODY. / Andronov, I.V.; Bouche, D.

In: Annales des Telecommunications, Vol. 49, No. 3-4, 1994, p. 205-210.

Research output

TY - JOUR

T1 - ASYMPTOTIC OF CREEPING WAVES ON A STRONGLY PROLATE BODY

AU - Andronov, I.V.

AU - Bouche, D.

PY - 1994

Y1 - 1994

N2 - We study the influence of a small transverse radius of curvature ρt on the acoustic or electromagnetic waves propagating on the surface of a convex body by the boundary- layer method. For ρt of order k-1/3, the dependency of the field near the surface along the normal is shown to be, as when ρt is of order 1, described by the Fock- Airy function ω1. However, ρt modifies the attenuation and velocity of the waves, by introducing an exponential term. For ρt or order k-2/3, the normal dependency of the field is described by a new special function, depending on ρt The propagation constant of the wave can be obtained by solving an equation involving this function. © 1994 Springer-Verlag.

AB - We study the influence of a small transverse radius of curvature ρt on the acoustic or electromagnetic waves propagating on the surface of a convex body by the boundary- layer method. For ρt of order k-1/3, the dependency of the field near the surface along the normal is shown to be, as when ρt is of order 1, described by the Fock- Airy function ω1. However, ρt modifies the attenuation and velocity of the waves, by introducing an exponential term. For ρt or order k-2/3, the normal dependency of the field is described by a new special function, depending on ρt The propagation constant of the wave can be obtained by solving an equation involving this function. © 1994 Springer-Verlag.

M3 - Article

VL - 49

SP - 205

EP - 210

JO - Annales des Telecommunications/Annals of Telecommunications

JF - Annales des Telecommunications/Annals of Telecommunications

SN - 0003-4347

IS - 3-4

ER -