Abstract
Revealing the physical phenomena causing various resonant phenomena is a key to successful design of frequency selective structures. Within the frames of the spectral theory of open waveguide resonators, the nature of the total reflection resonance formed by a rectangular waveguide section with a rectangular post inside is studied. The waveguide section is considered as a single-channel multimode resonator. An interpretation of the total reflection resonance is suggested as a result of excitation of natural oscillations in the resonator. Transformation phenomenon for the resonant mode explaining the resonant reflection of the incident wave by symmetric structures is revealed. It is established that the resonant frequency and quality-factor are estimated precisely by the complex frequency of a single natural oscillation. It is shown that quantitative estimations for the reflection resonance obtained within the spectral theory of open waveguide resonators are in order of magnitude more precise than those obtained within the classical approach. The results obtained make synthesis of bandstop filters, possessing complicated frequency behavior, to be more efficient. Key words: resonance of reflection, rectangular waveguide, natural vibration Manuscript submitted 06.05.2014 Radio phys. radio astron. 2014, 19(3): 258-266 REFERENCES 1. ROSENBERG, U. and AMARI, S., 2007. A novel band-reject element for pseudoelliptic bandstop filters. IEEE Trans. Microwave Theory Tech . vol. 55, no. 4, pp. 742–746. DOI: https://doi.org/10.1109/TMTT.2007.893653 2. KIRILENKO, A. A., KULIK, D. Yu, MOSPAN, L. P., and RUD', L. A., 2013. Reflection Resonances in a Waveguide Section with Two Different Height Posts. Radiophysics and Electronics , vol. 13, no. 2, pp. 154–158 (in Russian). 3. POLITI, M. and FOSSATI, A., 2010. Direct coupled waveguide filters with generalized Chebyshev response by resonating coupling structures. In: Proc. of European Microwave Conference . Roma, Itali. pp. 966–969. 4. TOMASSONI, C. and SORRENTINO, R., 2013. A new class of pseudoelliptic waveguide filters using dual-post resonators. IEEE Trans. Microwave Theory Tech . vol. 61, no. 6, pp. 2332–2339. DOI: https://doi.org/10.1109/TMTT.2013.2258171 5. SHESTOPALOV, V. and SHESTOPALOV, Yu., 1996. Spectral Theory and Excitation of Open Structures . London: Peter Peregrinus Publ. DOI: https://doi.org/10.1049/PBEW042E 6. RUD', L. A., SIRENKO, YUu. K., YATSIK, V. V., and YASHINA, N. P., 1988. A Spectral method of analyzing the effects of total wave transformation by open-periodic and waveguide resonators. Radiophys. Quantum Electron . vol. 31, no. 10, pp. 894–899.DOI: https://doi.org/10.1109/TMTT.2013.2258171 7. KIRILENKO, A.. A., YASHINA, N. P., 1980.On the relationship between resonances in the "locked" modes with the excitation modes of quasi non-closed volume. Pis'ma v ZHTF , vol. 6, no. 12, pp. 1512–1515. 8. KIRILENKO, A. A. and TYSIK, B. G., 1993. Connection of S-matrixof wave guide and periodical structures with complex frequency spectrum. Electromagnetics . vol. 13, no. 3,pp. 301–318. DOI: https://doi.org/10.1080/02726349308908352 9. PRIKOLOTIN, S. A., STESHENKO, S. A., KULIK, D. YU., RUD, L. A., and KIRILENKO, A. A., 2012. Fast full 3D EM CAD of wave guideunits based on the generalized mode-matching technique. In: Proc of Int. Conf. on MMET . Kharkov, Ukraine. pp. 109–112. 10. MOSPAN, L. P., PRIKOLOTIN, S. A., STESHENKO, S. A., and KIRILENKO, A. A., 2013. Spectral Properties of a Rectangular Waveguide Section with Two Uneven Rectangular Posts. Radio Phys. Radio Astron . vol. 18, no. 4, pp. 349–356 (in Russian).
Highlights
Усилия разработчиков современных волноводных фильтров в настоящее время сосредоточены на снижении их массогабаритных показателей при сохранении высокоэффективных рабочих характеристик
the nature of the total reflection resonance formed by a rectangular waveguide section with a rectangular post inside is studied
It is shown that quantitative estimations for the reflection resonance obtained within the spectral theory
Summary
Усилия разработчиков современных волноводных фильтров в настоящее время сосредоточены на снижении их массогабаритных показателей при сохранении высокоэффективных рабочих характеристик. Упрощенные картины распределения поперечного электрического поля в волноводной секции на частоте резонанса отражения схематически приведены на рис. 2. Картины распределения поперечного электрического поля в волноводной секции для фиксированных значений параметра dx: поле на частоте резонанса отражения f (R), поле второго собственного колебания на комплексной частоте f2, поля второй H (2) и третьей H (3) волн гребневой секции – соответственно первая–четвертая строки. 3. Сопоставление характеристик рассеяния резонансной секции с прямоугольным штырем и спектральных характеристик соответствующего открытого волноводного резонатора: кривая 1, образованная звездочками, – положения резонанса отражения f (R); черные сплошные кривые 2–4 – параметрические зависимости реальных и мнимой частей комплексных частот собственных колебаний Re( f1), Re( f2), Im( f2); штриховые кривые 5–11 – частоты отсечки первых нескольких волн волноводной секции. Для всех значений dx частота отсечки первой H (1) волны секции fcut (H (1)) При устремлении к нулю высоты стержня частота второго собственного колебания сдвигается к реальной оси в окрестность частоты отсечки E11 и H11 волн прямоугольного волновода.
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