A time-domain numerical code (the so-called Texas code) that solves the Khokhlov–
Zabolotskaya–Kuznetsov (KZK) equation has been extended from an axis-symmetric …

For therapeutic applications of medical ultrasound, such as hyperthermia, acoustic surgery,
and hemostasis, it is desirable, for precise targeting, to induce effective local absorption of …

The nonlinear parabolic Khokhlov-Zabolotskaya (KZ) equation is commonly used for
simulation of nonlinear focused fields generated by medical ultrasound transducers. Axially …

A time‐domain algorithm that solves the Khokhlov–Zabolotskaya–Kuznetsov (KZK)
nonlinear parabolic wave equation is described. The algorithm models the propagation of …

A model equation that describes the propagation of sound beams in a fluid is developed
using the oblate spheroidal coordinate system. This spheroidal beam equation (SBE) is a …

The scope of this thesis is to investigate the nonlinear physics fundamental to the
progressive distortion of a bounded finite amplitude ultrasonic beam. Emphasis is placed on …

Nonlinear effects in focused sound beams are investigated with numerical solutions of the
Khokhlov–Zabolotskaya–Kuznetsov (KZK) parabolic wave equation. The KZK equation …

The efficiency of different physical mechanisms of interaction of high intensity focused
ultrasound with biological tissue is determined by various parameters of nonlinear acoustic …

The effects of nonlinear enhancement of focusing gain and saturation are studied and
compared for high‐intensity focused ultrasound sources with an initial Gaussian shading …