Abstract:

Energy conservation is an important issue in range-dependent propagation modeling. Energy-conserving coupled mode and parabolic equation solutions have been developed [J. Acoust. Soc. Am. 89, 1058--1075 (1991)]. This presentation will describe an energy-conserving solution based on the wave-number spectrum. Range dependence is handled by dividing the medium into a sequence of range-independent regions and enforcing the complete energy-conservation condition [J. Acoust. Soc. Am. 94, 975--982 (1993)] at the vertical interfaces between regions. This condition involves the square root of the horizontal wave number in the forcing function of the spectral equation and in the spectral integral. This approach has been implemented and tested for both fluid and elastic media. [Work supported by ONR.]