A New Form of the Wave Equation for Sound in a General Layered Fluid

  • O. A. Godin


By introduction of a new vertical coordinate, the wave equation in a layered medium is transformed into the reduced wave (Helmholtz) equation. In the new form of the wave equation, effects of gravity as well as of density and of mean current stratification appear only in the effective wave number and in the transformation of the variable used. Starting from this equation, a number of new results are obtained. Some applications to three-dimensionally varying media are considered. The equation of sound propagation in an ocean with arbitrarily slow mean currents is obtained and the corresponding parabolic approximation is discussed.


Wave Equation Parabolic Equation Layered Medium Sound Propagation Mesoscale Eddy 
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Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • O. A. Godin
    • 1
  1. 1.P.P. Shirshov Institute of Oceanologythe USSR Academy of SciencesMoscowUSSR

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