Thesis chapter · 2015

Chapter 8 - Nonlinear Plane Waves in Frequency Power Law Attenuation Media

Noé Jiménez

pp. 229-250, 2015

Abstract

In this chapter we revise fundamental aspects of nonlinear acoustic plane wave propagation through frequency power law attenuation media, with special focusing in the implications for finite amplitude ultrasound in biological media. The basic relationships between nonlinearity, absorption and dispersion are explored in detail, among with its implications for soft-tissue modeling in biomedical ultrasound applications. A derivation of simple expressions for quantify the role of the exponent of the power law in the balance between nonlinearity, dispersion and attenuation is presented. Detailed numerical calculations of the harmonic generation are also provided, where the efficiency in the harmonic generation and its relation with the weak frequency power law dispersion is studied.

BibTeX citation
@other{phdc8,
 author = {Noé Jiménez},
 pages = {229-250},
 title = {Chapter 8 - Nonlinear Plane Waves in Frequency Power Law Attenuation Media},
 year = {2015}
}