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Numerical Calculation of Normal Modes for Underwater Sound Propagation

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1 Author(s)
Beisner, H.M. ; Electronics Systems Center of the IBM Federal Systems Division, Gaithersburg, Maryland 20760, USA

Hartree's method for calculation of atomic wave functions is applied to the Schroedinger-like normal mode equation for underwater sound propagation. Rapid convergence was obtained for the twelve normal modes at five Hertz with a typical velocity profile. The normal modes are given, along with an example of the pressure field, and a means for numerical calculation of the near field modes is suggested.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:18 ,  Issue: 1 )