A graphical description of scattering

James F. Greenleaf

doi:10.1016/0301-5629(86)90181-X

A graphical description of scattering

James F. Greenleaf

Physiology & Biomedical Engineering

Research output: Contribution to journal › Review article › peer-review

8 Scopus citations

Abstract

The relationship between Fourier transforms of the refractive index of objects and the Fourier transform of the scattered ultrasonic waves are reviewed. Both the Born and Rytov approximations in the first order are used to linearize the Helmholtz wave equation. Both forward and backward scatter geometries are illustrated. The relationship between these coherent wave considerations and the clinically used echo and transmission modalities is discussed.

Original language	English (US)
Pages (from-to)	603-609
Number of pages	7
Journal	Ultrasound in Medicine and Biology
Volume	12
Issue number	8
DOIs	https://doi.org/10.1016/0301-5629(86)90181-X
State	Published - Aug 1986

Keywords

Born approximation
Fourier transforms
Helmholtz wave equation
Rytov approximation

ASJC Scopus subject areas

Biophysics
Radiological and Ultrasound Technology
Acoustics and Ultrasonics

Access to Document

10.1016/0301-5629(86)90181-X

Cite this

@article{4fd41560c77a4a0e83d64f22cada05f9,

title = "A graphical description of scattering",

abstract = "The relationship between Fourier transforms of the refractive index of objects and the Fourier transform of the scattered ultrasonic waves are reviewed. Both the Born and Rytov approximations in the first order are used to linearize the Helmholtz wave equation. Both forward and backward scatter geometries are illustrated. The relationship between these coherent wave considerations and the clinically used echo and transmission modalities is discussed.",

keywords = "Born approximation, Fourier transforms, Helmholtz wave equation, Rytov approximation",

author = "Greenleaf, {James F.}",

note = "Funding Information: Acknowledgments-The author thanks Elaine C. Quarve for secretarial assistance and Steven J. Richardson and James L. Hanson for graphics, and Professor Rolf Mueller for stimulating discussions. This work was partially supported by grants under NC1 CA 24085 from the National Cancer Institute and EC%7926008 from the National Science Foundation.",

year = "1986",

month = aug,

doi = "10.1016/0301-5629(86)90181-X",

language = "English (US)",

volume = "12",

pages = "603--609",

journal = "Ultrasound in Medicine and Biology",

issn = "0301-5629",

publisher = "Elsevier USA",

number = "8",

}

TY - JOUR

T1 - A graphical description of scattering

AU - Greenleaf, James F.

N1 - Funding Information: Acknowledgments-The author thanks Elaine C. Quarve for secretarial assistance and Steven J. Richardson and James L. Hanson for graphics, and Professor Rolf Mueller for stimulating discussions. This work was partially supported by grants under NC1 CA 24085 from the National Cancer Institute and EC%7926008 from the National Science Foundation.

PY - 1986/8

Y1 - 1986/8

N2 - The relationship between Fourier transforms of the refractive index of objects and the Fourier transform of the scattered ultrasonic waves are reviewed. Both the Born and Rytov approximations in the first order are used to linearize the Helmholtz wave equation. Both forward and backward scatter geometries are illustrated. The relationship between these coherent wave considerations and the clinically used echo and transmission modalities is discussed.

AB - The relationship between Fourier transforms of the refractive index of objects and the Fourier transform of the scattered ultrasonic waves are reviewed. Both the Born and Rytov approximations in the first order are used to linearize the Helmholtz wave equation. Both forward and backward scatter geometries are illustrated. The relationship between these coherent wave considerations and the clinically used echo and transmission modalities is discussed.

KW - Born approximation

KW - Fourier transforms

KW - Helmholtz wave equation

KW - Rytov approximation

UR - http://www.scopus.com/inward/record.url?scp=0022637377&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022637377&partnerID=8YFLogxK

U2 - 10.1016/0301-5629(86)90181-X

DO - 10.1016/0301-5629(86)90181-X

M3 - Review article

C2 - 3765184

AN - SCOPUS:0022637377

SN - 0301-5629

VL - 12

SP - 603

EP - 609

JO - Ultrasound in Medicine and Biology

JF - Ultrasound in Medicine and Biology

IS - 8

ER -

A graphical description of scattering

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this