Sage Journals: Discover world-class research

Abstract

The propagation of pressure pulses of arbitrary time form in inhomogeneous attenuating media with characteristics similar to real biological tissues is considered. A mathematical model using the quasi-optical approximation is developed to solve the wave equation. Such a model proves to be convenient for computer realization. A spectral analysis of known experimental data on frequency dependent backscatter is realized to separate coherent and incoherent components of backscatter from tissues and determine their parameters. The characteristics of the scattering are utilized for digital simulations of ultrasound propagation from an interrogated tissue volume. The results presented describe the expected space distribution of the pressure amplitude and phase near the transducer focus in the presence of an aberrating layer with parameters characteristic of abdominal imaging.

Keywords

Backscatter mathematical simulation phase aberrations ultrasound propagation

Get full access to this article

View all access options for this article.

References

Bamber

J.C.

Dickinson

R.J.

, Ultrasonic B-scanning: a computer simulation, Phys. Med. Biol. 25, 463–479 (1980).

Foster

D.R.

Arditi

Foster

F.S.

Patterson

M.S.

Hunt

J.W.

, Computer simulations of speckle in B-scan images, Ultrasonic Imaging 5, 308–330 (1983).

Bly

S.H.P.

Lee-Grahal

Foster

D.R.

Patterson

M.S.

Foster

F.S.

Hunt

J.W.

, Quantitative contrast measurements in B-mode images comparison between experiment and theory, Ultrasound Med. Biol. 12, 197–208 (1986).

Oossterveld

B.J.

Thijssen

J.M.

Verhoef

W.A.

, Texture of B-mode echograms: 3-D simulations and experiments of the effect of diffraction and scatterer density, Ultrasonic Imaging 7, 142–160 (1985).

Zhao

Trahey

G.E.

, Comparisons of image quality factors for phase aberration correction with diffuse and point targets: theory and experiments, IEEE Trans. Ultrason. Ferroelec. Freq. Cont. 38, 125–132 (1991).

Adrov

V.N.

Chernomordik

V.V.

, Unpublished work.

Nock

Trahey

G.E.

Smith

S.W.

, Phase aberration correction in medical ultrasound using speckle brightness as a quality factor, J. Acoust. Soc. Am. 85, 1819–1833 (1989).

O'Donnell

Flax

S.W.

, Phase aberration measurements in medical ultrasound: Human studies, Ultrasonic Imaging 10, 1–11 (1988).

Kino

G.S.

, Acoustic Waves: Devices, Imaging, and Analog Signal Processing, (Prentice-Hall, Inc. Englewood Cliffs, NJ, 1987).

10.

Brekhovskikh

L.M.

Godin

O.A.

, Acoustics of Layered Media, (Nauka, Moscow, 1989) (in Russian).

11.

Nicholas

, An absolute measurement of backskattering coefficients for excised human tissues and its relevance to abdominal imaging, in Acoustical Imaging, vol. 11, Powers

J.P.

, ed., pp. 149–166 (1981).

12.

Rytov

S.M.

Kravtzov

Yu. A.

Tatarskii

V.I.

, Introduction into Statistical Radiophysics. P. 2. Random Fields. (Nauka, Moscow, 1978) (in Russian).

13.

Fleck

J.A.

Morris

J.R.

Feit

M.D.

, Time-dependent propagation of high energy laser beams through the atmosphere, J. Appl. Phys. 10, 129–160 (1976).

14.

Wagner

R.F.

Insana

M.F.

Brown

D.G.

, Unified approach to the detection and classification of speckle texture in diagnostic ultrasound, Opt. Eng. 25, 738–742 (1986).

15.

Rhyne

T.L.

Sagar

K.B.

Wann

S.L.

Haasler

, The myocardial structure: absolute backscatter, cyclical variation, frequency variation and statistics, Ultrasonic Imaging 8, 107–120 (1986).

16.

O'Donnel

Mimbs

J.W.

Miller

J.G.

, Relationship between collagen and ultrasonic backscatter in myocardial tissue, J. Acoust. Soc. Am. 69, 580–588 (1981).

17.

Flax

S.W.

O'Donnell

, Phase-aberration correction using signals from point reflectors and diffuse scatterers, IEEE Trans. Ultrason. Ferroelec. Freq. Contr. 35, 758–774 (1988).

Mathematical Simulation of Pressure Pulse Propagation in Biological Tissues

Abstract

Keywords

Get full access to this article

References