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2010-01-27
Closed-Form Design Method of an n -Way Dual-Band Wilkinson Hybrid Power Divider
By
Progress In Electromagnetics Research, Vol. 101, 97-114, 2010
Abstract
In this paper, the closed-form design method of an N-way dual-band Wilkinson hybrid power divider is proposed. This symmetric structure including N groups of two sections of transmission lines and two isolated resistors is described which can split a signal into N equiphase equiamplitude parts at two arbitrary frequencies (dual-band) simultaneously, where N can be odd or even. Based on the rigorous even- and odd- mode analysis, the closed-form design equations are derived. For verification, various numerical examples are designed, calculated and compared while two practical examples including two ways and three ways dual-band microstrip power dividers are fabricated and measured. It is very interesting that this generalized power divider with analytical design equations can be designed for wideband applications when the frequency-ratio is relatively small. In addition, it is found that the conventional N-way hybrid Wilkinson power divider for single-band applications is a special case (the frequency-ratio equals to 3) of this generalized power divider.
Citation
Yongle Wu, Yuan'an Liu, Shulan Li, Cuiping Yu, and Xin Liu, "Closed-Form Design Method of an n -Way Dual-Band Wilkinson Hybrid Power Divider," Progress In Electromagnetics Research, Vol. 101, 97-114, 2010.
doi:10.2528/PIER09111906
References

1. Wilkinson, E., "An N-way hybrid power divider," IRE Trans. Microw. Theory Tech., Vol. 8, No. 1, 116-118, 1960.
doi:10.1109/TMTT.1960.1124668

2. Yee, H. Y., F.-C. Chang, and N. F. Audeh, "N-way TEM-mode broad-band power dividers," IEEE Trans. Microw. Theory Tech., Vol. 18, No. 10, 682-688, 1970.
doi:10.1109/TMTT.1970.1127330

3. Nagai, N., E. Maekawa, and K. Ono, "New N-way hybrid power dividers," IEEE Trans. Microw. Theory Tech., Vol. 25, No. 12, 1008-1012, 1977.
doi:10.1109/TMTT.1977.1129265

4. Saleh, A. A. M., "Planar electrically symmetric N-way hybrid power dividers/combiners," IEEE Trans. Microw. Theory Tech., Vol. 28, No. 6, 555-563, 1980.
doi:10.1109/TMTT.1980.1130118

5. Ahn, H.-R., K. Lee, and N.-H. Myung, "General design equations of N-way arbitrary power dividers," IEEE MTT-S International Microwave Symposium Digest, Vol. 1, 65-68, Jun. 6--11, 2004.

6. Eccleston, K. W., "N-way microwave power divider using two-dimensional meta-materials," Electron. Lett., Vol. 42, No. 15, 863-864, 2006.
doi:10.1049/el:20061601

7. Eccleston, K. W. and J. Zong, "Implementation of a microstrip square planar N-way metamaterial power divider," IEEE Trans. Microw. Theory Tech., Vol. 57, No. 1, 189-195, 2009.
doi:10.1109/TMTT.2008.2009037

8. Rozzi, T., A. Morini, G. Venanzoni, and M. Farina, "Full-wave analysis of N-way power dividers by eigenvalue decomposition," IEEE Trans. Microw. Theory Tech., Vol. 57, No. 5, 1156-1162, 2009.
doi:10.1109/TMTT.2009.2017439

9. Wu, Y. and Y. Liu, "Closed-form design method for unequal lumped-elements wilkinson power dividers," Microwave and Optical Technology Letters, Vol. 51, No. 5, 1320-1324, 2009.
doi:10.1002/mop.24324

10. Monzon, C., "A small dual-frequency transformer in two sections," IEEE Trans. Microw. Theory Tech., Vol. 51, No. 4, 1157-1161, 2003.
doi:10.1109/TMTT.2003.809675

11. Wu, Y., Y. Liu, and S. Li, "A compact Pi-structure dual band transformer," Progress In Electromagnetics Research, Vol. 88, 121-134, 2008.
doi:10.2528/PIER08102601

12. Wu, Y., Y. Liu, and S. Li, "A dual-frequency transformer for complex impedances with two unequal sections," IEEE Microw. Wireless Compon. Lett., Vol. 19, No. 2, 77-79, 2009.
doi:10.1109/LMWC.2008.2011315

13. Wu, Y., Y. Liu, S. Li, C. Yu, and X. Liu, "A generalized dual-frequency transformer for two arbitrary complex frequency-dependent impedances," IEEE Microw. Wireless Compon. Lett., Vol. 19, No. 12, 792-794, 2009.
doi:10.1109/LMWC.2009.2034034

14. Wu, L., Z. Sun, H. Yilmaz, and M. Berroth, "A dual-frequency Wilkinson power divider," IEEE Trans. Microw. Theory Tech., Vol. 54, No. 1, 278-284, 2006.
doi:10.1109/TMTT.2006.884655

15. Cheng, K.-K. M. and C. Law, "A novel approach to the design and implementation of dual-band power divider," IEEE Trans. Microw. Theory Tech., Vol. 56, No. 2, 487-492, 2008.
doi:10.1109/TMTT.2007.914629

16. Park, M. J. and B. Lee, "A dual-band Wilkinson power divider," IEEE Microw. Wireless Compon. Lett., Vol. 18, No. 2, 85-87, 2008.
doi:10.1109/LMWC.2007.915031

17. Yang, T., J.-X. Chen, X. Y. Zhang, and Q. Xue, "A dual-band out-of-phase power divider," IEEE Microw. Wireless Compon. Lett., Vol. 18, No. 3, 188-190, 2008.
doi:10.1109/LMWC.2008.916800

18. Wu, Y., Y. Liu, and X. Liu, "Dual-frequency power divider with isolation stubs," Electron. Lett., Vol. 44, No. 24, 1407-1408, 2008.
doi:10.1049/el:20082420

19. Wu, Y., Y. Liu, and S. Li, "A new dual-frequency Wilkinson power divider," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 4, 483-492, 2009.
doi:10.1163/156939309787612400

20. Wu, Y., Y. Liu, and S. Li, "Dual-band modified Wilkinson power divider without transmission line stubs and reactive components," Progress In Electromagnetics Research, Vol. 96, 9-20, 2009.
doi:10.2528/PIER09072109

21. Wu, Y., Y. Liu, S. Li, and H. Zhou, "Compact dual-band equal power divider circuit for large frequency-ratio applications," Journal of Infrared Millimeter and Terahertz Waves, in press, 2009.

22. Wu, Y., Y. Liu, S. Li, and C. Yu, "A new symmetric modified Wilkinson power divider using L-type dual-band impedance matching structure," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 17/18, 2351-2362, 2009.
doi:10.1163/156939309790415973

23. Li, X., S.-X. Gong, L. Yang, and Y.-J. Yang, "A novel wilkinson power divider for dual-band operation," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 2--3, 395-404, 2009.
doi:10.1163/156939309787604346

24. Law, C. and K.-K. M. Cheng, "Compact dual-band power divider design using branch-lines and resistors only," Asia-Pacific Microwave Conference (APMC) 2008, 1-4, Dec. 16--20, 2008.

25. Wu, Y., H. Zhou, Y. Zhang, and Y. Liu, "An unequal Wilkinson power divider for a frequency and its first harmonic," IEEE Microw. Wireless Compon. Lett., Vol. 18, No. 11, 737-739, 2008.
doi:10.1109/LMWC.2008.2005226

26. Wu, Y., Y. Liu, Y. Zhang, J. Gao, and H. Zhou, "A dual band unequal wilkinson power divider without reactive components," IEEE Trans. Microw. Theory Tech., Vol. 57, No. 1, 216-222, 2009.
doi:10.1109/TMTT.2008.2008981

27. Wu, Y., Y. Liu, and S. Li, "Unequal dual-frequency Wilkinson power divider including series resistor-inductor-capacitor isolation structure," IET Microwaves, Antennas & Propagation, Vol. 3, No. 7, 1079-1085, 2009.
doi:10.1049/iet-map.2008.0314

28. Wu, Y., Y. Liu, and S. Li, "An unequal dual-frequency Wilkinson power divider with optional isolation structure," Progress In Electromagnetics Research, Vol. 91, 393-411, 2009.
doi:10.2528/PIER09030501

29. Wu, Y., Y. Liu, S. Li, and X. Liu, "A novel dual-frequency Wilkinson power divider with unequal power division," Electromagnetics, Vol. 29, No. 8, 627-640, 2009.
doi:10.1080/02726340903287372

30. Wu, Y., Y. Liu, S. Li, and C. Yu, "A new design method for unequal dual-band modified Wilkinson power divider," Electromagnetics, accepted after revisions, 2010.
doi:10.1080/02726340903287372

31. Feng, C., G. Zhao, X.-F. Liu, F.-S, and Zhang, "Planar three-way dual-frequency power divider," Electron. Lett., Vol. 44, No. 2, 133-134, 2008.
doi:10.1049/el:20083108

32. Wang, W., W. Li, and D. Chen, "Design of N-way dual-frequency power divider base on genetic algorithm," 2009 International Conference on Networks Security, Wireless Communications and Trusted Computing (NSWCTC'09), Vol. 1, 274-277, Apr. 25--26, 2009.

33. Shamsinejad, S., M. Soleimani, and N. Komjani, "Novel miniaturized Wilkinson power divider for 3G mobile receivers," Progress In Electromagnetics Research Letters, Vol. 3, 9-16, 2008.
doi:10.2528/PIERL08012603

34. Oraizi, H. and M. S. Esfahlan, "Miniaturization of Wilkinson power dividers by using defected ground structures," Progress In Electromagnetics Research Letters, Vol. 4, 113-120, 2008.
doi:10.2528/PIERL08060701

35. Fan, F., Z.-H. Yan, and J.-B. Jiang, "Design of a novel compact power divider with harmonic suppression," Progress In Electromagnetics Research Letters, Vol. 5, 151-157, 2008.
doi:10.2528/PIERL08111808

36. Chang, C.-P., C.-C. Su, S.-H. Hung, Y.-H. Wang, and J.-H. Chen, "A 6 : 1 unequal wilkinson power divider with EBG CPW," Progress In Electromagnetics Research Letters, Vol. 8, 151-159, 2009.
doi:10.2528/PIERL09032801