PARABOLIC APPROXIMATIONS FOR SEISMO-ACOUSTIC WAVEGUIDE PROPAGATION

Authors
  1. Brooke, G.H.
  2. Wetton, B.T.R.
Corporate Authors
Defence Research Establishment Pacific, Victoria BC (CAN)
Abstract
One-way or parabolic wave equations for propagation in seismo-acoustic waveguides are considered. By examining the effect of the parabolic approximation on the propagation of normal modes in a layered acoustic waveguide, it is demonstrated that: (i) functional approximations of the square root operator, used to derive PE equations, are identical to the square root approximation used to calculate the horizontal wavenumbers of the associated normal mode solution of these equations, and (ii) the eigenvalues and eigenvectors of the matrices, involved in advancing numerically the finite difference PE field, are directly related to the modal eigenvalues and eigenfunctions for the problem.
Report Number
DREP-TM-89-20 — Technical Memorandum
Date of publication
15 Aug 1989
Number of Pages
52
DSTKIM No
90-02871
CANDIS No
65128
Format(s):
Hardcopy;Originator's fiche received by DSIS

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