An extension to the frequency domain solution to Burgers' equation (FDSBE) is presented in
the context of a continuous wave, nonlinear beam propagation model. The extension adds a …

A new algorithm for nonlinear plane-wave propagation is presented. The algorithm uses a
novel time domain representation to account for nonlinearity, while accounting for …

Numerical modeling of high‐intensity focused sound beams is important for medical
applications of ultrasound. The KZK equation, which may be modified to include relaxation …

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 …

Many applications of intense sound, such as in sonar, medicine, and nondestructive
evaluation, involve radiation from directional sources. Linear effects of diffraction determine …

An existing model, the Bergen code, is used to simulate the propagation of ultrasonic beams
of finite amplitude, due to rectangular and square sources. It is found that the edges of the …

A method for fast numerical simulation of high-intensity focused ultrasound beams is
derived. The method is based on the frequency-domain representation of the Khokhlov …

Exact solutions of the scalar Helmholtz equation describing tightly spherically-focused
beams are introduced without any approximations using the complex source point method in …

The wavefields of bounded acoustic beams and pulses reflected from water-loaded plates
are fully modeled with the phase advance technique. The wavefield produced at the source …

Measurement-based modeling is gaining acceptance as a standard tool for characterizing
the nonlinear fields of existing therapeutic ultrasound devices and designing new ones …