Roger M. Oba
Naval Res. Lab., Stennis Space Center, MS 39529-5004
A computational method of numerically computing average pressure has been developed using a normal mode analysis of the parabolic equation [R. M. Oba, J. Acoust. Soc. Am. 91, 2424 (A) (1992)]. It has been implemented to compute the transmission loss and phase for the average solutions in the continuous wave case. Time domain cases have been computed by Fourier transform. This analysis can be extended to compute the average energy over the ensemble at a given range in the continuous wave case. Since energy is positive for each element of the ensemble, the calculation of its mean will obviate the larger transmission loss due to phase cancellation in ensemble averaging of the complex valued solutions. Comparison of average energy calculations can be made to the energy of the average solution. This technique will be useful in matching this computed field at some final range to another solution starting from that range on. [Work supported by ONR/NRL-SSC and ONR Young Navy Scientist Program.]