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1997 | 39 | 1 | 57-71

Tytuł artykułu

Canonical functions of asymptotic diffraction theory associated with symplectic singularities

Autorzy

Treść / Zawartość

Języki publikacji

EN

Abstrakty

EN
A general method of deriving canonical functions for ray field singularities involving caustics, shadow boundaries and their intersections is presented. It is shown that many time-domain canonical functions can be expressed in terms of elementary functions and elliptic integrals.

Rocznik

Tom

39

Numer

1

Strony

57-71

Daty

wydano
1997

Twórcy

  • Institute for Solid Earth Physics, University of Bergen Allégaten 41, N-5007 Bergen, Norway

Bibliografia

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  • [10] A. Hanyga, Boundary effects in Asymptotic Diffraction Theory, Part I-III, Seismo-series (int. reports ISEP Univ. of Bergen), Vol. 35-37, Bergen, 1989.
  • [11] A. Hanyga, Local behaviour of wavefields at simple caustics, Seismo-series (int. reports ISEP Univ. of Bergen), Vol. 38, 1989.
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  • [17] S. Janeczko and G. Plotnikova, Sur la structure de quasi-caustiques en diffraction géometrique, C. R. Acad. Sci. Paris Sér. I Math. 311 (1990), 543-546.
  • [18] J. B. Keller, Geometrical Theory of Diffraction, J. Opt. Soc. Amer. 52 (1966), 116-130.
  • [19] Yu. A. Kravtsov and Yu. I. Orlov, Caustics, Catastrophes and Wave Fields, Springer-Verlag, Berlin, 1993.
  • [20] V. P. Maslov and V. M. Fedoryuk, Semi-classical approximation in quantum mechanics, D. Reidel, Doordrecht, 1981.
  • [21] F. Pham, Singularités des systèmes differentiels de Gauss-Manin, Progr. Math. 2, Birkhäuser, Basel, 1979.
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