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Diffraction coefficients related to cylindrically curved soft-hard surfaces

Facteurs de diffraction relatifs a des surfaces cylindriques a cotés dur et mou


An asymptotic solution to the problem of the diffraction of high-frequency waves by the edge of a cylindrically curved surface whose convex and concave faces present soft and hard boundary conditions is obtained. The results permit us to define new diffraction coefficients related to this kind of mixed boundary conditions. When the radius of the curvature becomes infinitely large, the edgediffraction coefficient reduces to this known for the softhard half-plane.


L’auteur présente une solution asymptotique au problème de la diffraction de fréquence élevée sur le bord d’une surface cylindrique dont les faces convexe et concave présentent respectivement des conditions aux limites de type «dur» et «mou». Les résultats permettent de définir de nouveaux facteurs de diffraction liés à ce type de conditions aux limites. Quand le rayon de courbure devient infiniment grand, le facteur de diffraction sur le bord se ramène à celui qui est connu pour le demiplan mou d’un côté et dur de l’autre.

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  1. [1]

    Idemen (M., Felsen (L. B.. Diffraction of a whispering gallery mode by the edge of a thin concave cylindrically curved surface.IEEE Trans. AP, USA (1981),29, pp. 571–579.

  2. [2]

    Idemen (M.), Uzgören (G.). Some diffraction coefficient related to diffraction at the edges of curved reflectors.12th Microwave Conf., Helsinki (1982).

  3. [3]

    Idemen (M., Erdogan (E.. Diffraction of the creeping waves generated on a perfectly conducting spherical scatterer by a ring source.IEEE Trans. AP, USA (1983),31, pp. 776–784.

  4. [4]

    Büyükaksoy (A.. High-frequency diffraction of a whispering gallery mode by the edge of a cylindrically curved softhard sheet.AEU, De (1984),38, n∘ 6, pp. 375–378.

  5. [5]

    Büyükaksoy (A., Kavranoglu (D.. Diffraction of a whispering-gallery mode by a spherical soft-hard cap.Bull. Tech. Univ. of Istanbul (1984),37, n∘ 4, pp. 447–463.

  6. [6]

    Hurd (R. A.. The Wiener-Hopf-Hilbert method for diffraction problems.Can. J. Phys. (1976),54, pp. 775–780.

  7. [7]

    Rawlins (A. D., Williams (W. E.. Matrix Wiener-Hopf factorisation.Quart. J. Mech, appl. Math., GB (1981),34, pp. 1–8.

  8. [8]

    Felsen (L. B., Marcuwitz (N.. Radiation and scattering of waves.Prentice Hall, Englewood Cliffs, NJ (1973).

  9. [9]

    Noble (B.. Method based on the Wiener-Hopf technique.Pergamon Press, Oxford (1958).

  10. [10]

    Keller (J. B., Rubinow (S. I., Goldstein (M.. Zeros of Hankel functions and poles of scattering amplitudes.J. Math. Phys., USA (1963),4, pp. 829–832.

  11. [11]

    Rawlins (A. D.. The solution of a mixed boundaryvalue problem in the theory of diffraction by a semi-infinite half-plane.Proc. Roy. Soc., A, London (1975),356, pp. 469–484.

  12. [12]

    Ishihara (T., Felsen (L. B., Green (A.. High-frequency fields excited by a line source located on a perfectly conducting cylindrical surface.IEEE Trans. AP, USA (1979),27, pp. 757–767.

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Büyükaksoy, A. Diffraction coefficients related to cylindrically curved soft-hard surfaces. Ann. Télécommun. 40, 402–410 (1985).

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Key words

  • Wave diffraction
  • Radio wave
  • Cylindrical configuration
  • Boundary condition
  • Mixed problem
  • Edge effect
  • Asymptotic behaviour

Mots clés

  • Diffraction onde
  • Onde radioélectrique
  • Configuration cylindrique
  • Condition aux limites
  • Problème mixte
  • Effet bord
  • Comportement asymptotique