Cascade of Axial-Symmetric Inhomogeneous Resonators with Impedance Sidewalls
A reentrant resonator with impedance sidewalls and piecewise-homogeneous magnetodielectric filler, also the finite series periodic sequence of such resonators, are investigated. Using rigorous and approximate mathematical methods of boundary problem solution, the dispersion equation, also scattering...
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| Дата: | 2013 |
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| Мова: | rus |
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Видавничий дім «Академперіодика»
2013
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| Онлайн доступ: | http://rpra-journal.org.ua/index.php/ra/article/view/651 |
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| Назва журналу: | Radio physics and radio astronomy |
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oai:ri.kharkov.ua:article-6512013-02-09T10:44:23Z Cascade of Axial-Symmetric Inhomogeneous Resonators with Impedance Sidewalls Каскадное соединение аксиально-симметричных неоднородных резонаторов с импедансными стенками Kazanskiy, V. B. Tuz, V. R. Khardikov, V. V. A reentrant resonator with impedance sidewalls and piecewise-homogeneous magnetodielectric filler, also the finite series periodic sequence of such resonators, are investigated. Using rigorous and approximate mathematical methods of boundary problem solution, the dispersion equation, also scattering and transformation coefficients for the TE0n-waves, are obtained. The conditions for coincident delaying properties of the homogeneously and inhomogeneously filled waveguides are determined. Ranges of parameters for the maximum probability of intratype wave transformation and generation of the high-Q locked-mode resonances are revealed. The diffraction problem of resonator series, when all the waves except TE01 in intermediate feed pipes are damping, is solved by the methods of circuit theory and matrix polynomials. The problem algorithm is independent of the base element characteristics and the structure element number. The applicability of the investigated resonator to dielectric spectroscopy of heavily lossy liquids, e. g. water solutions of bio-objects, is proved. сследуются проходной резонатор с импедансными стенками и кусочно-однородным магнитодиэлектрическим заполнением и ограниченная периодическая последовательность таких резонаторов. Используя строгий и приближенный математические методы решения краевых задач, получены дисперсионное уравнение и коэффициенты полей рассеяния и преобразования TE0n-волн. Рассмотрены условия, когда замедляющие свойства волноводов с неоднородным и однородным заполнением совпадают. Отмечены диапазоны параметров максимальной вероятности внутритипового преобразования волн и формирования высокодобротных резонансов на запертых модах. Методами теории цепей и матричных многочленов решена задача дифракции на последовательности резонаторов при условии, что все волны в подводящих волноводах, кроме TE01-волны, затухают. Алгоритм ее решения не зависит от характеристик базового элемента и количества таких элементов в структуре. Обосновано применение исследуемого резонатора для диэлектрической спектроскопии жидкостей с большими потерями, в частности, водных растворов биосред. Видавничий дім «Академперіодика» 2013-02-09 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/651 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 11, No 2 (2006); 159 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 11, No 2 (2006); 159 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 11, No 2 (2006); 159 2415-7007 1027-9636 rus http://rpra-journal.org.ua/index.php/ra/article/view/651/202 |
| institution |
Radio physics and radio astronomy |
| collection |
OJS |
| language |
rus |
| format |
Article |
| author |
Kazanskiy, V. B. Tuz, V. R. Khardikov, V. V. |
| spellingShingle |
Kazanskiy, V. B. Tuz, V. R. Khardikov, V. V. Cascade of Axial-Symmetric Inhomogeneous Resonators with Impedance Sidewalls |
| author_facet |
Kazanskiy, V. B. Tuz, V. R. Khardikov, V. V. |
| author_sort |
Kazanskiy, V. B. |
| title |
Cascade of Axial-Symmetric Inhomogeneous Resonators with Impedance Sidewalls |
| title_short |
Cascade of Axial-Symmetric Inhomogeneous Resonators with Impedance Sidewalls |
| title_full |
Cascade of Axial-Symmetric Inhomogeneous Resonators with Impedance Sidewalls |
| title_fullStr |
Cascade of Axial-Symmetric Inhomogeneous Resonators with Impedance Sidewalls |
| title_full_unstemmed |
Cascade of Axial-Symmetric Inhomogeneous Resonators with Impedance Sidewalls |
| title_sort |
cascade of axial-symmetric inhomogeneous resonators with impedance sidewalls |
| title_alt |
Каскадное соединение аксиально-симметричных неоднородных резонаторов с импедансными стенками |
| description |
A reentrant resonator with impedance sidewalls and piecewise-homogeneous magnetodielectric filler, also the finite series periodic sequence of such resonators, are investigated. Using rigorous and approximate mathematical methods of boundary problem solution, the dispersion equation, also scattering and transformation coefficients for the TE0n-waves, are obtained. The conditions for coincident delaying properties of the homogeneously and inhomogeneously filled waveguides are determined. Ranges of parameters for the maximum probability of intratype wave transformation and generation of the high-Q locked-mode resonances are revealed. The diffraction problem of resonator series, when all the waves except TE01 in intermediate feed pipes are damping, is solved by the methods of circuit theory and matrix polynomials. The problem algorithm is independent of the base element characteristics and the structure element number. The applicability of the investigated resonator to dielectric spectroscopy of heavily lossy liquids, e. g. water solutions of bio-objects, is proved. |
| publisher |
Видавничий дім «Академперіодика» |
| publishDate |
2013 |
| url |
http://rpra-journal.org.ua/index.php/ra/article/view/651 |
| work_keys_str_mv |
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2024-05-26T06:32:04Z |
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2024-05-26T06:32:04Z |
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