title: An energy-conserving spectral solution
abstract: An energy-conserving spectral solution is derived and tested. A range-dependent medium is approximated by a sequence of range-independent regions. In each region, the acoustic field is represented in terms of the horizontal wave-number spectrum. A condition corresponding to energy conservation is derived for the vertical interfaces between regions. The accuracy of the approach is demonstrated for problems involving sloping ocean bottoms. The energy-conserving spectral solution is less efficient than the energy-conserving parabolic equation solution, but might be suitable for generalization to problems involving elastic bottoms.
authors.affiliation: Naval Research Laboratory, Washington, DC 20375, USA. collins@noddy.nrl.navy.mil
authors.initials: MD
authors.lastname: Collins
authors.initials: H
authors.lastname: Schmidt
authors.initials: WL
authors.lastname: Siegmann