Numerical Calculation of Normal Modes for Underwater Sound Propagation

	by H. M. Beisner
	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. Related Subjects: Acoustics; Mathematics (applied); Wave propagation