Application of a technique of Franklin and Friedman to some problems in acoustics

  • D. C. Stickler
Classical Scattering Theory
Part of the Lecture Notes in Physics book series (LNP, volume 130)


Saddle Point Asymptotic Expansion Lateral Wave Head Wave High Transcendental Function 
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  1. [1]
    J. Franklin, B. Friedman: “A convergent asymptotic representation for Laplace integrals,” Proc. Carob. Phil. Soc. 53, 612 (1957)Google Scholar
  2. [2]
    A. Erdélyi: Asymptotic Expansions (Dover, New York, 1956), pp. 29–34Google Scholar
  3. [3]
    See [21, pp. 49–50Google Scholar
  4. [4]
    D.C. Stickler: “Reflected and lateral waves for the Sommerfeld model,” J. Acoust. Soc. Am. 60, 1061 (1976)Google Scholar
  5. 0[5]
    A. Erdélyi et al.: Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 2, p. 81Google Scholar
  6. 0[6]
    A. Erdélyi et al.: Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 1, p. 248Google Scholar
  7. 0[7]
    N. Bleistein, R.A. Handelsman: Asymptotic Expansions of Integrals (Holt, Rinehart, and Winston, New York, 1975), pp. 380–385Google Scholar
  8. 0[8]
    C.L. Pekeris: in Propagation of Sound in the Ocean, Mem. Geo. Soc. Am. 27, 1 (1948)Google Scholar
  9. 0[9]
    L.B. Felsen, N. Marcuvitz: Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, New Jersey, 1973)Google Scholar
  10. [10]
    R.G. Newton: Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966), pp. 401–415Google Scholar
  11. [11]
    N. Marcuvitz: “On field representations in terms of leaky modes or eigenmodes,” IEEE Trans. AP-4, 192 (1956)Google Scholar
  12. [12]
    D.C. Stickler, E. Ammicht: “A uniform asymptotic evaluation of the continuous spectrum contribution for the Pekeris model,” submitted to the J. Acoust. Soc. Am.Google Scholar
  13. [13]
    D.C. Stickler: “Normal mode program with both the discrete and branch line contributions,” J. Acoust. Soc. Am. 57, 856 (1975)Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • D. C. Stickler
    • 1
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityNew York

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