Wednesday, April 9, 1986 4:00 p.m.
Timothy S. Hart
Department of Electrical Engineering
The University of Texas at Austin
The nonlinear behavior of focused sound beams is not completely understood. Past research has failed to examine situations in which the effects of both nonlinearity and diffraction are strong. Our technique involves the numerical solution of a parabolic nonlinear wave equation that accounts for nonlinearity, diffraction and absorption simultaneously. The algorithm has been modified for application to a focused finite amplitude sound beam.
Preliminary results of the technique -namely, predictions for the fundamental and second harmonic components of a moderately nonlinear and strongly diffractive beam- show very good agreement with prior theoretical and experimental research.