Dependence of harmonic generation on primary wave pressure distribution
The aim of this paper is theoretical analysis of harmonic generation during finite amplitude wave propagation. The paper presents mathematical model and some results of numerical calculations. The mathematical model was built on the basis of the KZK equation. To solve the problem the Fourier seri...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2014-01-01
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| Series: | Archives of Acoustics |
| Subjects: | |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/1384 |
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| _version_ | 1849720832342884352 |
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| author | Anna Baranowska |
| author_facet | Anna Baranowska |
| author_sort | Anna Baranowska |
| collection | DOAJ |
| description | The aim of this paper is theoretical analysis of harmonic generation during finite amplitude
wave propagation. The paper presents mathematical model and some results of numerical
calculations. The mathematical model was built on the basis of the KZK equation. To solve
the problem the Fourier series expansion and finite-difference method were applied. The harmonic
pressure amplitudes as a function of axial distance and their transverse distributions at
fixed distances from the source were examined. The pressure amplitude distributions at horizontal
section were investigated, too. The calculations were carried out for different pressure
distributions on the circular source and different values of medium parameters. |
| format | Article |
| id | doaj-art-e07c3ab1320e438d992f3e1333800b17 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-e07c3ab1320e438d992f3e1333800b172025-08-20T03:11:51ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2014-01-01324(S)Dependence of harmonic generation on primary wave pressure distributionAnna Baranowska0Gdańsk University of Technology, Department of Mathematical and Numerical Analysis, Gabriela Narutowicza 11/12, 80-952 GdańskThe aim of this paper is theoretical analysis of harmonic generation during finite amplitude wave propagation. The paper presents mathematical model and some results of numerical calculations. The mathematical model was built on the basis of the KZK equation. To solve the problem the Fourier series expansion and finite-difference method were applied. The harmonic pressure amplitudes as a function of axial distance and their transverse distributions at fixed distances from the source were examined. The pressure amplitude distributions at horizontal section were investigated, too. The calculations were carried out for different pressure distributions on the circular source and different values of medium parameters.https://acoustics.ippt.pan.pl/index.php/aa/article/view/1384nonlinear acousticswave propagationnumerical methods in physics. |
| spellingShingle | Anna Baranowska Dependence of harmonic generation on primary wave pressure distribution Archives of Acoustics nonlinear acoustics wave propagation numerical methods in physics. |
| title | Dependence of harmonic generation on primary wave pressure distribution |
| title_full | Dependence of harmonic generation on primary wave pressure distribution |
| title_fullStr | Dependence of harmonic generation on primary wave pressure distribution |
| title_full_unstemmed | Dependence of harmonic generation on primary wave pressure distribution |
| title_short | Dependence of harmonic generation on primary wave pressure distribution |
| title_sort | dependence of harmonic generation on primary wave pressure distribution |
| topic | nonlinear acoustics wave propagation numerical methods in physics. |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/1384 |
| work_keys_str_mv | AT annabaranowska dependenceofharmonicgenerationonprimarywavepressuredistribution |