DETERMINATION OF THE RESONANCE FREQUENCY AND THE Q-FACTOR OF A HALF-DISK DIELECTRIC RESONATOR USING FRACTIONAL RATIONAL APPROXIMATION
The problems of determining the resonant frequency and theQ-factor of whispering gallery type oscillations in a half-diskdielectric resonator have been considered. The influence of violationsof the conditions of reciprocity, non-dissipative character,symmetry for coupler of the resonator on its refl...
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| Дата: | 2013 |
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| Автори: | , , |
| Формат: | Стаття |
| 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/1157 |
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| Назва журналу: | Radio physics and radio astronomy |
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oai:ri.kharkov.ua:article-11572014-01-12T12:06:08Z DETERMINATION OF THE RESONANCE FREQUENCY AND THE Q-FACTOR OF A HALF-DISK DIELECTRIC RESONATOR USING FRACTIONAL RATIONAL APPROXIMATION Определение резонансной частоты и добротности полудискового диэлектрического резонатора при помощи дробно-рациональной аппроксимации Andreev, M. V. Drobakhin, O. O. Saltykov, D. Yu. The problems of determining the resonant frequency and theQ-factor of whispering gallery type oscillations in a half-diskdielectric resonator have been considered. The influence of violationsof the conditions of reciprocity, non-dissipative character,symmetry for coupler of the resonator on its reflectioncharacteristic versus frequency are investigated. For mentionedcases, the correctness of using classical methods of measuringthe resonator natural frequency and Q-factor of the resonatorhas been analyzed. To solve this problem, the possibility ofusing a fractionally rational approximation of the resonatorfrequency response was discussed. The realization of the rationalapproximation based on continued fractions is proposedthat allows obtaining stable estimates for evaluating the complexfrequency and Q-factor. The use of this approach hasallowed analyzing the dependence of the natural frequency ofthe half-disk dielectric resonator versus degree of coupling whichis determined by radial location and width of the coupling slot.It has been shown that the difference between the pole andzero frequencies allows estimating the degree of coupling. В статье рассмотрены проблемы определения резонансной частоты и добротности колебаний типа шепчущей галереи в полудисковом диэлектрическом резонаторе. Исследовано влияние нарушений условий взаимности, недиссипативности, симметрии в элементе связи на вид частотной характеристики отражения такого резонатора. Для этих случаев проанализированы вопросы корректности применения классических методик измерения собственной частоты и добротности резонатора. Для решения данной задачи была рассмотрена возможность применения дробно-рациональной аппроксимации частотной характеристики резонатора. Предложена реализация дробно-рациональной аппроксимации на основе цепных дробей, которая позволяет получать устойчивые корректные оценки собственной комплексной частоты и, соответственно, добротности резонатора. Использование рассмотренного подхода позволило провести анализ зависимости собственной частоты полудискового диэлектрического резонатора от степени связи, определяемой радиальным местоположением и шириной щели связи. Было показано, что по разности значений полюса и нуля можно судить о степени связи. Видавничий дім «Академперіодика» 2013-12-09 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/1157 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 18, No 4 (2013); 362 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 18, No 4 (2013); 362 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 18, No 4 (2013); 362 2415-7007 1027-9636 rus http://rpra-journal.org.ua/index.php/ra/article/view/1157/793 |
| institution |
Radio physics and radio astronomy |
| collection |
OJS |
| language |
rus |
| format |
Article |
| author |
Andreev, M. V. Drobakhin, O. O. Saltykov, D. Yu. |
| spellingShingle |
Andreev, M. V. Drobakhin, O. O. Saltykov, D. Yu. DETERMINATION OF THE RESONANCE FREQUENCY AND THE Q-FACTOR OF A HALF-DISK DIELECTRIC RESONATOR USING FRACTIONAL RATIONAL APPROXIMATION |
| author_facet |
Andreev, M. V. Drobakhin, O. O. Saltykov, D. Yu. |
| author_sort |
Andreev, M. V. |
| title |
DETERMINATION OF THE RESONANCE FREQUENCY AND THE Q-FACTOR OF A HALF-DISK DIELECTRIC RESONATOR USING FRACTIONAL RATIONAL APPROXIMATION |
| title_short |
DETERMINATION OF THE RESONANCE FREQUENCY AND THE Q-FACTOR OF A HALF-DISK DIELECTRIC RESONATOR USING FRACTIONAL RATIONAL APPROXIMATION |
| title_full |
DETERMINATION OF THE RESONANCE FREQUENCY AND THE Q-FACTOR OF A HALF-DISK DIELECTRIC RESONATOR USING FRACTIONAL RATIONAL APPROXIMATION |
| title_fullStr |
DETERMINATION OF THE RESONANCE FREQUENCY AND THE Q-FACTOR OF A HALF-DISK DIELECTRIC RESONATOR USING FRACTIONAL RATIONAL APPROXIMATION |
| title_full_unstemmed |
DETERMINATION OF THE RESONANCE FREQUENCY AND THE Q-FACTOR OF A HALF-DISK DIELECTRIC RESONATOR USING FRACTIONAL RATIONAL APPROXIMATION |
| title_sort |
determination of the resonance frequency and the q-factor of a half-disk dielectric resonator using fractional rational approximation |
| title_alt |
Определение резонансной частоты и добротности полудискового диэлектрического резонатора при помощи дробно-рациональной аппроксимации |
| description |
The problems of determining the resonant frequency and theQ-factor of whispering gallery type oscillations in a half-diskdielectric resonator have been considered. The influence of violationsof the conditions of reciprocity, non-dissipative character,symmetry for coupler of the resonator on its reflectioncharacteristic versus frequency are investigated. For mentionedcases, the correctness of using classical methods of measuringthe resonator natural frequency and Q-factor of the resonatorhas been analyzed. To solve this problem, the possibility ofusing a fractionally rational approximation of the resonatorfrequency response was discussed. The realization of the rationalapproximation based on continued fractions is proposedthat allows obtaining stable estimates for evaluating the complexfrequency and Q-factor. The use of this approach hasallowed analyzing the dependence of the natural frequency ofthe half-disk dielectric resonator versus degree of coupling whichis determined by radial location and width of the coupling slot.It has been shown that the difference between the pole andzero frequencies allows estimating the degree of coupling. |
| publisher |
Видавничий дім «Академперіодика» |
| publishDate |
2013 |
| url |
http://rpra-journal.org.ua/index.php/ra/article/view/1157 |
| work_keys_str_mv |
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| first_indexed |
2024-05-26T06:29:39Z |
| last_indexed |
2024-05-26T06:29:39Z |
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