Near-to-Far Zone Transition in the Problem of Wave Backscattering by a Statistically Rough Surface
For a case of wave backscattering by a statistically rough surface the asymptotics of twofold integrals of rapidly oscillating functions which determine temporary correlation function of the scattered field are found. At grazing angles much greater than the characteristic angle of the Fresnel zone i...
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| Datum: | 2012 |
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| Format: | Artikel |
| Sprache: | Russisch |
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Видавничий дім «Академперіодика»
2012
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| Online Zugang: | http://rpra-journal.org.ua/index.php/ra/article/view/463 |
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| Назва журналу: | Radio physics and radio astronomy |
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Radio physics and radio astronomy| _version_ | 1856543555653206016 |
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| author | Bryukhovetski, A. S. |
| author_facet | Bryukhovetski, A. S. |
| author_sort | Bryukhovetski, A. S. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2012-11-12T01:41:57Z |
| description | For a case of wave backscattering by a statistically rough surface the asymptotics of twofold integrals of rapidly oscillating functions which determine temporary correlation function of the scattered field are found. At grazing angles much greater than the characteristic angle of the Fresnel zone in calculi, the method of a stationary phase will be utilized. The solution obtained enables passages to the limit to values of physical parameters adequate to “large” and “small” surface elements. For a grazing angle much less than the Fresnel angle the combined solution is the method of a stationary phase on a variable azimuth and approximation of Fraunhofer diffraction on a radial variable. The calculations allow the relationship with solutions based on heuristic simplifying hypotheses. |
| first_indexed | 2025-12-02T15:50:07Z |
| format | Article |
| id | rpra-journalorgua-article-463 |
| institution | Radio physics and radio astronomy |
| language | Russian |
| last_indexed | 2025-12-02T15:50:07Z |
| publishDate | 2012 |
| publisher | Видавничий дім «Академперіодика» |
| record_format | ojs |
| spelling | rpra-journalorgua-article-4632012-11-12T01:41:57Z Near-to-Far Zone Transition in the Problem of Wave Backscattering by a Statistically Rough Surface Переход от ближней к дальней зоне в решении задачи обратного рассеяния волн статистически неровной поверхностью Bryukhovetski, A. S. For a case of wave backscattering by a statistically rough surface the asymptotics of twofold integrals of rapidly oscillating functions which determine temporary correlation function of the scattered field are found. At grazing angles much greater than the characteristic angle of the Fresnel zone in calculi, the method of a stationary phase will be utilized. The solution obtained enables passages to the limit to values of physical parameters adequate to “large” and “small” surface elements. For a grazing angle much less than the Fresnel angle the combined solution is the method of a stationary phase on a variable azimuth and approximation of Fraunhofer diffraction on a radial variable. The calculations allow the relationship with solutions based on heuristic simplifying hypotheses. Для случая обратного рассеяния волн статистически неровной поверхностью найдены асимптотики двукратных интегралов от быстроосциллирующих функций, определяющих временную корреляционную функцию рассеянного поля. При угле скольжения много больше характерного угла френелевской зоны в вычислениях используется метод стационарной фазы. Полученное решение допускает предельные переходы к значениям физических параметров, отвечающих “большой” и “малой” площадкам. Для угла скольжения много меньше френелевского определено комбинированное решение – методом стационарной фазы по переменному азимутальному углу и приближением дифракции Фраунгофера по радиальной переменной. Расчеты позволяют установить связь с решениями, основанными на эвристических упрощающих гипотезах. Видавничий дім «Академперіодика» 2012-11-12 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/463 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 15, No 4 (2010); 408 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 15, No 4 (2010); 408 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 15, No 4 (2010); 408 2415-7007 1027-9636 ru http://rpra-journal.org.ua/index.php/ra/article/view/463/27 |
| spellingShingle | Bryukhovetski, A. S. Near-to-Far Zone Transition in the Problem of Wave Backscattering by a Statistically Rough Surface |
| title | Near-to-Far Zone Transition in the Problem of Wave Backscattering by a Statistically Rough Surface |
| title_alt | Переход от ближней к дальней зоне в решении задачи обратного рассеяния волн статистически неровной поверхностью |
| title_full | Near-to-Far Zone Transition in the Problem of Wave Backscattering by a Statistically Rough Surface |
| title_fullStr | Near-to-Far Zone Transition in the Problem of Wave Backscattering by a Statistically Rough Surface |
| title_full_unstemmed | Near-to-Far Zone Transition in the Problem of Wave Backscattering by a Statistically Rough Surface |
| title_short | Near-to-Far Zone Transition in the Problem of Wave Backscattering by a Statistically Rough Surface |
| title_sort | near-to-far zone transition in the problem of wave backscattering by a statistically rough surface |
| url | http://rpra-journal.org.ua/index.php/ra/article/view/463 |
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