Propagation of the main signal in a dispersive Lorentz medium
Evolution of the main signal in a Lorentz dispersive medium is considered. The signal propagating in the medium is excited by a sine-modulated pulse signal, with its envelope described by a hyperbolic tangent function. Both uniform and non-uniform asymptotic representations for the si...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2002-01-01
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| Series: | Archives of Acoustics |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/438 |
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| _version_ | 1849720865120321536 |
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| author | A. Ciarkowski |
| author_facet | A. Ciarkowski |
| author_sort | A. Ciarkowski |
| collection | DOAJ |
| description | Evolution of the main signal in a Lorentz dispersive medium
is considered. The signal propagating in the medium is excited by a
sine-modulated pulse signal, with its envelope described by a hyperbolic tangent
function. Both uniform and non-uniform asymptotic representations for the signal
are found. It is shown how the uniform representation reduces to the non-uniform
one. The results obtained are illustrated with a numerical example. |
| format | Article |
| id | doaj-art-372f2f3c74e749ec8665e1ac192c3d36 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-372f2f3c74e749ec8665e1ac192c3d362025-08-20T03:11:51ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2002-01-01274Propagation of the main signal in a dispersive Lorentz mediumA. Ciarkowski0Institute of Fundamental Technological Research, Polish Academy of SciencesEvolution of the main signal in a Lorentz dispersive medium is considered. The signal propagating in the medium is excited by a sine-modulated pulse signal, with its envelope described by a hyperbolic tangent function. Both uniform and non-uniform asymptotic representations for the signal are found. It is shown how the uniform representation reduces to the non-uniform one. The results obtained are illustrated with a numerical example. https://acoustics.ippt.pan.pl/index.php/aa/article/view/438 |
| spellingShingle | A. Ciarkowski Propagation of the main signal in a dispersive Lorentz medium Archives of Acoustics |
| title | Propagation of the main signal in a dispersive Lorentz medium |
| title_full | Propagation of the main signal in a dispersive Lorentz medium |
| title_fullStr | Propagation of the main signal in a dispersive Lorentz medium |
| title_full_unstemmed | Propagation of the main signal in a dispersive Lorentz medium |
| title_short | Propagation of the main signal in a dispersive Lorentz medium |
| title_sort | propagation of the main signal in a dispersive lorentz medium |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/438 |
| work_keys_str_mv | AT aciarkowski propagationofthemainsignalinadispersivelorentzmedium |