Operator Method in Electromagnetic Wave Diffraction by Semi-Infinite Strip Gratings
An operator method using the translation symmetry of a semi-infinite periodic structure is generalized of the scatterers being metal strips. The rigorously formulated problem of electromagnetic wave diffraction by semi-infinite strip gratings is reduced to the solution of the nonlinear equation with...
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Видавничий дім «Академперіодика»
2013
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| Online Access: | http://rpra-journal.org.ua/index.php/ra/article/view/687 |
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oai:ri.kharkov.ua:article-6872013-02-09T20:59:24Z Operator Method in Electromagnetic Wave Diffraction by Semi-Infinite Strip Gratings Операторный метод в задаче дифракции электромагнитных волн на полубесконечных ленточных решетках Vorobyov, S. N. Litvinenko, L. M. Prosvirnin, S. L. An operator method using the translation symmetry of a semi-infinite periodic structure is generalized of the scatterers being metal strips. The rigorously formulated problem of electromagnetic wave diffraction by semi-infinite strip gratings is reduced to the solution of the nonlinear equation with respect to the sought reflection operator of a semi-infinite grating. The approximate analytical solution is found for the plane grating with the assumption that its strips are narrow and sparsely spaced. The asymptotic representation for the field scattered by a plane semi-infinite grating is obtained. It can be used as the initial approximation for an iteration procedure of the numerical solution. Операторный метод, использующий свойство трансляционной симметрии полубесконечной периодической структуры, обобщен для рассеивателей в виде металлических лент. Задача дифракции электромагнитной волны на полуограниченных ленточных решетках в строгой постановке сведена к решению нелинейного уравнения относительно искомого оператора отражения полубесконечной решетки. Найдено приближенное аналитическое решение уравнения в случае плоской решетки из узких редко расположенных лент. Получено асимптотическое представление поля, рассеянного плоской полуограниченной ленточной решеткой, которое может служить начальным приближением для итерационной процедуры численного решения. Видавничий дім «Академперіодика» 2013-02-09 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/687 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 10, No 3 (2005); 273 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 10, No 3 (2005); 273 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 10, No 3 (2005); 273 2415-7007 1027-9636 rus http://rpra-journal.org.ua/index.php/ra/article/view/687/238 |
| institution |
Radio physics and radio astronomy |
| baseUrl_str |
|
| datestamp_date |
2013-02-09T20:59:24Z |
| collection |
OJS |
| language |
rus |
| format |
Article |
| author |
Vorobyov, S. N. Litvinenko, L. M. Prosvirnin, S. L. |
| spellingShingle |
Vorobyov, S. N. Litvinenko, L. M. Prosvirnin, S. L. Operator Method in Electromagnetic Wave Diffraction by Semi-Infinite Strip Gratings |
| author_facet |
Vorobyov, S. N. Litvinenko, L. M. Prosvirnin, S. L. |
| author_sort |
Vorobyov, S. N. |
| title |
Operator Method in Electromagnetic Wave Diffraction by Semi-Infinite Strip Gratings |
| title_short |
Operator Method in Electromagnetic Wave Diffraction by Semi-Infinite Strip Gratings |
| title_full |
Operator Method in Electromagnetic Wave Diffraction by Semi-Infinite Strip Gratings |
| title_fullStr |
Operator Method in Electromagnetic Wave Diffraction by Semi-Infinite Strip Gratings |
| title_full_unstemmed |
Operator Method in Electromagnetic Wave Diffraction by Semi-Infinite Strip Gratings |
| title_sort |
operator method in electromagnetic wave diffraction by semi-infinite strip gratings |
| title_alt |
Операторный метод в задаче дифракции электромагнитных волн на полубесконечных ленточных решетках |
| description |
An operator method using the translation symmetry of a semi-infinite periodic structure is generalized of the scatterers being metal strips. The rigorously formulated problem of electromagnetic wave diffraction by semi-infinite strip gratings is reduced to the solution of the nonlinear equation with respect to the sought reflection operator of a semi-infinite grating. The approximate analytical solution is found for the plane grating with the assumption that its strips are narrow and sparsely spaced. The asymptotic representation for the field scattered by a plane semi-infinite grating is obtained. It can be used as the initial approximation for an iteration procedure of the numerical solution. |
| publisher |
Видавничий дім «Академперіодика» |
| publishDate |
2013 |
| url |
http://rpra-journal.org.ua/index.php/ra/article/view/687 |
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| first_indexed |
2025-07-17T11:31:07Z |
| last_indexed |
2025-07-17T11:31:07Z |
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