Logical Inference for Model-Based Reconstruction of Ultrasonic Nonlinearity
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Quantifying the constitutive nonlinearity parameter β in fluids is of keyinterest for understanding ultrasonic propagation and its wide implications in medicaland industrial applications.
However, current methods for ultrasonically measuring itshow large limitations in that the signal is only valid at a reduced and unjustifiedspatial range away from the transducer.
This is not consistent with the fact thatβ should be constant everywhere in the fluid and independently of the ultrasonicexperimental setup.
To overcome this, the nonlinear wave propagation equations arerigorously derived and the ensuing differential equation is numerically solved.
As asecond contribution, the experimental and model information sources are treated underthe information theory context to probabilistically reconstruct β, providing not onlyits value, but also the degree of confidence on it given both sources of data.
This methodis satisfactorily validated testing the repeatability of β in water varying distances,energies, frequencies, and transducer setups, yielding values compatible with β = 3.5.
American Psychological Association (APA)
Rus, Carlos& Rus, Guillermo. 2015. Logical Inference for Model-Based Reconstruction of Ultrasonic Nonlinearity. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073072
Modern Language Association (MLA)
Rus, Carlos& Rus, Guillermo. Logical Inference for Model-Based Reconstruction of Ultrasonic Nonlinearity. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1073072
American Medical Association (AMA)
Rus, Carlos& Rus, Guillermo. Logical Inference for Model-Based Reconstruction of Ultrasonic Nonlinearity. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073072
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073072