Method of calculating the acoustical wave reflection coefficient from a not-sharp boundary of two media

The paper presents a numerical calculation method of the reflection coefficient of a plane, longitudinal acoustical wave from a plane-parallel, non-homogeneous transient layer (not-sharp boundary) positioned between two homogeneous, half-spatial media. Changes in the physical properties of the trans...

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Main Author: Marek HAGEL
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 2015-07-01
Series:Archives of Acoustics
Online Access:https://acoustics.ippt.pan.pl/index.php/aa/article/view/3106
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author Marek HAGEL
author_facet Marek HAGEL
author_sort Marek HAGEL
collection DOAJ
description The paper presents a numerical calculation method of the reflection coefficient of a plane, longitudinal acoustical wave from a plane-parallel, non-homogeneous transient layer (not-sharp boundary) positioned between two homogeneous, half-spatial media. Changes in the physical properties of the transient layer, determined by the changes in its material parameters, occur along its thickness and can by described by arbitrary one-variable functions. Results of theoretical calculations of the reflection coefficient were given for chosen cases of material parameter changes in the transient layer and they were compared with results of measurements conducted on a physical model. The presented method is accurate, universal and simple. It can be useful for the choice of ultrasonic wave frequency and for the measurement accuracy evaluation in certain applications of ultrasonic level meters, as well as for the determination of the shape of an ultrasonic pulse reflected from a not-sharp transient layer.
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publisher Institute of Fundamental Technological Research Polish Academy of Sciences
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spelling doaj-art-87d035fffb404393bd1cc022bedaea032025-08-20T02:39:11ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2015-07-01111Method of calculating the acoustical wave reflection coefficient from a not-sharp boundary of two mediaMarek HAGEL0Institute of Automatics of the Silesion Technical UniversityThe paper presents a numerical calculation method of the reflection coefficient of a plane, longitudinal acoustical wave from a plane-parallel, non-homogeneous transient layer (not-sharp boundary) positioned between two homogeneous, half-spatial media. Changes in the physical properties of the transient layer, determined by the changes in its material parameters, occur along its thickness and can by described by arbitrary one-variable functions. Results of theoretical calculations of the reflection coefficient were given for chosen cases of material parameter changes in the transient layer and they were compared with results of measurements conducted on a physical model. The presented method is accurate, universal and simple. It can be useful for the choice of ultrasonic wave frequency and for the measurement accuracy evaluation in certain applications of ultrasonic level meters, as well as for the determination of the shape of an ultrasonic pulse reflected from a not-sharp transient layer.https://acoustics.ippt.pan.pl/index.php/aa/article/view/3106
spellingShingle Marek HAGEL
Method of calculating the acoustical wave reflection coefficient from a not-sharp boundary of two media
Archives of Acoustics
title Method of calculating the acoustical wave reflection coefficient from a not-sharp boundary of two media
title_full Method of calculating the acoustical wave reflection coefficient from a not-sharp boundary of two media
title_fullStr Method of calculating the acoustical wave reflection coefficient from a not-sharp boundary of two media
title_full_unstemmed Method of calculating the acoustical wave reflection coefficient from a not-sharp boundary of two media
title_short Method of calculating the acoustical wave reflection coefficient from a not-sharp boundary of two media
title_sort method of calculating the acoustical wave reflection coefficient from a not sharp boundary of two media
url https://acoustics.ippt.pan.pl/index.php/aa/article/view/3106
work_keys_str_mv AT marekhagel methodofcalculatingtheacousticalwavereflectioncoefficientfromanotsharpboundaryoftwomedia