Nonlinear ultrasound wave propagation in thermoviscous fluids

Publication: ResearchPaper – Annual report year: 2004

Standard

Nonlinear ultrasound wave propagation in thermoviscous fluids. / Sørensen, Mads Peter (Invited author).

2004. Paper presented at 13th European Conference on Mathematics for Industry, Eindhoven, Netherlands.

Publication: ResearchPaper – Annual report year: 2004

Harvard

Sørensen, MP 2004, 'Nonlinear ultrasound wave propagation in thermoviscous fluids' Paper presented at 13th European Conference on Mathematics for Industry, Eindhoven, Netherlands, 21/06/04 - 25/06/04,

APA

Sørensen, M. P. (2004). Nonlinear ultrasound wave propagation in thermoviscous fluids. Paper presented at 13th European Conference on Mathematics for Industry, Eindhoven, Netherlands.

CBE

Sørensen MP. 2004. Nonlinear ultrasound wave propagation in thermoviscous fluids. Paper presented at 13th European Conference on Mathematics for Industry, Eindhoven, Netherlands.

MLA

Vancouver

Sørensen MP. Nonlinear ultrasound wave propagation in thermoviscous fluids. 2004. Paper presented at 13th European Conference on Mathematics for Industry, Eindhoven, Netherlands.

Author

Sørensen, Mads Peter (Invited author) / Nonlinear ultrasound wave propagation in thermoviscous fluids.

2004. Paper presented at 13th European Conference on Mathematics for Industry, Eindhoven, Netherlands.

Publication: ResearchPaper – Annual report year: 2004

Bibtex

@misc{3f1fe2f0ab2243a6b7a4d4f9f2869abc,
title = "Nonlinear ultrasound wave propagation in thermoviscous fluids",
author = "Sørensen, {Mads Peter}",
year = "2004",
type = "ConferencePaper <importModel: ConferenceImportModel>",

}

RIS

TY - CONF

T1 - Nonlinear ultrasound wave propagation in thermoviscous fluids

A1 - Sørensen,Mads Peter

AU - Sørensen,Mads Peter

PY - 2004

Y1 - 2004

N2 - Traditional ultrasound theory is based on linear theory, however, for strongly focused sound beams, the pressure levels are sufficiently high to generate nonlinear waves. In thermoviscous fluids nonlinearity arises as a result of a nonlinear equation of state together with nonlinear advection. Furthermore, dissipation and dispersion is included in a combined third order term in the velocity potential. We shall report on solitary pulse propagation with generation of higher harmonics of the emitted carrier wave frequency. The envelopes of the carrier wave and its first higher harmonics satisfy two coupled nonlinear partial differential equations, which resembles those of optical chi-2 materials. We think this result makes a remarkable link between nonlinear acoustics and nonlinear optics. Finally our analysis reveal an exact kink solution to the nonlinear acoustic problem. This kink solution is interpreted as a shock wave formation, similar in nature to those of the simple Burgers equation. The results are relevant for medical ultrasound imaging.

AB - Traditional ultrasound theory is based on linear theory, however, for strongly focused sound beams, the pressure levels are sufficiently high to generate nonlinear waves. In thermoviscous fluids nonlinearity arises as a result of a nonlinear equation of state together with nonlinear advection. Furthermore, dissipation and dispersion is included in a combined third order term in the velocity potential. We shall report on solitary pulse propagation with generation of higher harmonics of the emitted carrier wave frequency. The envelopes of the carrier wave and its first higher harmonics satisfy two coupled nonlinear partial differential equations, which resembles those of optical chi-2 materials. We think this result makes a remarkable link between nonlinear acoustics and nonlinear optics. Finally our analysis reveal an exact kink solution to the nonlinear acoustic problem. This kink solution is interpreted as a shock wave formation, similar in nature to those of the simple Burgers equation. The results are relevant for medical ultrasound imaging.

UR - http://www.ecmi2004.tue.nl

ER -