Diffraction of gravity waves by ray methods

  • P. L. Christiansen
Part I — Wave Propagation in Water of Variable Depth
Part of the Lecture Notes in Physics book series (LNP, volume 64)


The existence of surface gravity waves of creeping wave type propagating along curved discontinuities and edges of the bottom profile is demonstrated. Decay exponents and diffraction coefficients for these waves are determined. Linearized shallow-water wave theory is applied.


Depth Profile Diffract Field Surface Gravity Wave Bottom Profile Diffraction Coefficient 
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  1. 1.
    Christiansen, P.L., 1975. Proc. 14th Coastal Engrg. Conf., Copenhagen 1974, Am. Soc. Civ. Engrs., New York. 1: 601–614.Google Scholar
  2. 2.
    Longuet-Higgins, M.S., 1967. J. Fluid Mech. 29: 781–821.Google Scholar
  3. 3.
    Shen, M.C., R.E. Meyer, and J.B. Keller, 1968. Phys. Fluids 11: 2289–2304.Google Scholar
  4. 4.
    Lautenbacher, C.C., 1970. J. Fluid Mech. 41: 655–672.Google Scholar
  5. 5.
    Smith, R., and T. Sprinks, 1975. J. Fluid Mech. 72: 373–384.Google Scholar
  6. 6.
    Homma, S., 1950. Geophys. Mag. 21: 199–208.Google Scholar
  7. 7.
    Jonsson, I.G., O. Skovgaard, and O. Brink-Kj.Tr, 1976. Proc. 15th Coastal Engrg. Conf., Honolulu 1976. (To appear).Google Scholar
  8. 8.
    Keller, J.B., 1962. J. Opt. Soc. Am. 52: 116–130.Google Scholar
  9. 9.
    Abramowitz, M., and I. Stegun, 1964. Handbook of Mathematical Functions National Bureau of Standards Appl. Math. Series, U.S. Government Printing Office, Washington, D.C.Google Scholar
  10. 10.
    Christiansen, P.L., 1975. Comparative Studies of Diffraction Processes, Polyteknisk Forlag, Lyngby, Denmark.Google Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • P. L. Christiansen
    • 1
  1. 1.Laboratory of Applied Mathematical PhysicsTechnical University of DenmarkLyngby

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