Propagation of nonlinear acoustic signals through inhomogeneous moving media

Nonlinear propagation of intense acoustic waves through inhomogeneous medium is an important problem for many modern applications including sonic booms in a turbulent atmosphere, explosive waves in a fluctuating ocean, and intense ultrasound and shock waves in biological tissue. In this work, a nonlinear parabolic wave equation with inclusion of scalar and vectorial inhomogeneities is presented. Results are presented in the case of the initially harmonic wave propagation through a 2D random velocity field.