This paper is an overview of important concepts and formulas involved in the application of coupling coefficients of microwave resonators for the design of bandpass filters with a particular emphasis on the frequency dispersion of coupling coefficients. The presumptions and formulas are classified into accurate, approximate, and erroneous ones.
2. Matthaei, G. L., L. Young, and E. M. T. Jones, Microwave Filters, Impedance-matching Networks, and Coupling Structures, McGraw-Hill, New York, 1964.
3. Hong, J.-S. and M. J. Lancaster, Microstrip Filters for RF/Microwave Applications, John Wiley & Sons, New York, 2001.
4. Ruiz-Cruz, J. A., C. Wang, and K. A. Zaki, "Advances in microwave filter design techniques," Microwave J., Vol. 51, No. 11, 26-42, Nov. 17, 2008.
5. Belyaev, B. A., A. V. Kazakov, M. I. Nikitina, and V. V. Tyurnev, Physical Aspects of Optimal Tuning of Microstrip Filters, Kirensky Institute of Physics, Preprint No. 768F, Krasnoyarsk, 1996 (in Russian) .
6. Belyaev, B. A. and V. V. Tyurnev, The method for microstrip filters parametric synthesis, Proc. 16-th Int. Crimean Conf. Microwave & Telecommunication Technology, 517-519, Sevastopol, 2006.
7. Dovbysh, I. A. and V. V. Tyurnev, Peculiarities of intelligence optimization of a microstrip filter on folded dual-mode resonators, PIERS 2009 in Moscow Proceedings, 1161-1163, August 18-21, 2009.
8. Belyaev, B. A. and V. V. Tyurnev, "Frequency-dependent coupling coefficients of microstrip resonators," Elektronnaya tekhnika. Ser. SVCh-Tekhnika, Vol. 4, 24-27, 1992 (in Russian).
9. Belyaev, B. A., M. I. Nikitina, and V. V. Tyurnev, "Effects of microstrip resonators' coupling length on bandpass filter selectivity ," Elektronnaya tekhnika. Ser. SVCh-Tekhnika, No. 5, 11-15, 1993 (in Russian).
10. Belyaev, B. A., M. M. Titov, and V. V. Tyurnev, "Coupling coefficient of irregular microstrip resonators ," Radiophysics and Quantum Electronics, Vol. 43, No. 8, 649-653, 2000.
doi:10.1023/A:1004813504573
11. Dishal, M., "Design of dissipative band-pass filters producing desired exact amplitude-frequency characteristics," Proc. IRE, Vol. 37, No. 9, 1050-1069, Sept. 1949.
doi:10.1109/JRPROC.1949.230947
12. Dishal, M., "Alignment and adjustment of synchronously tuned multiple-resonant-circuit filters ," Proc. IRE, Vol. 38, No. 11, 1448-1455, Nov. 1951.
13. Tyurnev, V. V. and B. A. Belyaev, "Interaction of parallel microstrip resonators," Elektronnaya tekhnika. Ser. Elektronika SVCh, No. 4, 25-30, 1990 (in Russian).
14. Adair, J. E. and G. I. Haddad, "Coupled-mode analysis of nonuniform coupled transmission lines," IEEE Transactions on Microwave Theory and Techniques, Vol. 17, No. 10, 746-752, Oct. 1969.
doi:10.1109/TMTT.1969.1127054
15. Belyaev, B. A. and V. V. Tyurnev, Investigation of Frequency Dependences of Coupling Coe±cients between Microstrip Resonators, Krasnoyarsk, Kirensky Institute of Physics, Preprint No. 695F, 1991 (in Russian).
16. Bahl, I. J., "Capacitively compensated high performance parallel coupled microstrip filters ," 1989 IEEE MTT-S International Microwave Symposium Digest, Vol. 2, 679-682, 1989.
doi:10.1109/MWSYM.1989.38816
17. Moazzam, M. R., S. Uysal, and A. H. Aghvami, "Improved performance parallel-coupled microstrip filters," Microwave J., Vol. 34, No. 11, 128, 130, 133, 135, 1991.
18. Belyaev, B. A., N. V. Laletin, A. A. Leksikov, and A. M. Serzhantov, "Peculiarities of coupling coefficients of a regular microstrip resonator," J. of Communications Technology and Electronics, Vol. 48, No. 1, 31-38, 2003.
19. Belyaev, B. A., A. A. Leksikov, M. M. Titov, and V. V. Tyurnev, "A microstrip array filter with irregular resonators," J. of Communications Technology and Electronics, Vol. 47, No. 8, 848-855, 2002.
20. Belyaev, B. A., N. V. Laletin, and A. A. Leksikov, "Coupling coe±cients of irregular microstrip resonators and frequency-selective properties of a two-section irregular-microstrip-resonator filter," J. of Communications Technology and Electronics, Vol. 47, No. 1, 9-17, 2002.
21. Tyurnev, V. V., "The coupling coefficients of an asymmetric pair of microwave resonators," J. of Communications Technology and Electronics, Vol. 47, No. 1, 1-8, 2002.
22. Awai, I. and Y. Zhang, "Coupling coefficient of resonators --- An intuitive way of its understanding," Electronics and Communications in Japan, Vol. 90, No. 9, Part 2, 11-18, 2007.
23. Tyurnev, V. V., "Direct derivation and refinement of generalized Cohn-Matthaei formulas for resonator coupling coefficients in a microwave filter," J. of Communications Technology and Electronics, Vol. 53, No. 5, 554-557, 2008.
doi:10.1134/S1064226908050112
24. Tyurnev, V. V., "Influence of the frequency dispersion of resonators' coupling coefficients on the accuracy of direct-synthesis formulas for microwave filters ," J. of Communications Technology and Electronics, Vol. 54, No. 3, 298-301, 2009.
doi:10.1134/S1064226909030073
25. Belyaev, B. A., M. I. Nikitina, and V. V. Tyurnev, "Expert system Filtex for synthesis of microstrip filters," Elektronnaya tekhnika. Ser. SVCh-Tekhnika, Vol. 1, 45-49, 1999 (in Russian).
26. Belyaev, B. A., S. V. Butakov, N. V. Laletin, A. A. Leksikov, and V. V. Tyurnev, "Expert system Filtex32 for computer-aided design of bandpass microstrip filters," Proc. 15-th Int. Crimean Conf. Microwave & Telecommunication Technology, 504-505, Sevastopol, 2005.
27. Dovbysh, I. A. and V. V. Tyurnev, "Synthesis and investigation of three-section microstrip filter on folded dual-mode stepped-impedance resonators," Progress In Electromagnetics Research M, Vol. 12, 17-28, 2010.
28. Atia, A. E. and A. E. Williams, "Narrow-band waveguide filters," IEEE Transactions on Microwave Theory and Techniques, Vol. 20, No. 4, 258-265, Apr. 1972.
doi:10.1109/TMTT.1972.1127732
29. Li, G., X. W. Dai, and C. H. Liang, "Fast synthesis of coupled-resonator filters," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 5-6, 705-714, 2008.
doi:10.1163/156939308784159552
30. Cameron, R., "Advanced coupling matrix synthesis techniques for microwave filters," IEEE Transactions on Microwave Theory and Techniques, Vol. 51, No. 1, 1-10, Jan. 2003.
doi:10.1109/TMTT.2002.806937
31. Amari, S., C. LeDrew, and W. Menzel, "Space-mapping optimization of coupled-resonator microwave filters," IEEE Transactions on Microwave Theory and Techniques, Vol. 54, No. 5, 2153-2159, May 2006.
doi:10.1109/TMTT.2006.872811
32. Amari, S. and M. Bekheit, "Physical interpretation and implications of similarity transformations in coupled resonator filter design," IEEE Transactions on Microwave Theory and Techniques, Vol. 55, No. 6, 1139-1153, Jun. 2007.
doi:10.1109/TMTT.2007.897706
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