Vol. 88
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2008-11-19
A Compact Pi-Structure Dual Band Transformer
By
Progress In Electromagnetics Research, Vol. 88, 121-134, 2008
Abstract
A compact Pi-structure transformer operating arbitrary dual band is proposed in this paper. To achieve the ideal impedance matching, the exact design formulas with no restrictions are obtained. In addition, it is found that there are infinite solutions for this novel transformer considering the fact that three independent variables exist in two equations. And to verify the design formulas, the reflection characteristics in different cases are shown by numerical simulations. The horizontal length of this transformer is half of the Monzon's dual band transformer. The proposed dual band transformer can be used in many compact dual band components design such as antennas, coupler and power dividers.
Citation
Yongle Wu, Yuan'an Liu, and Shulan Li, "A Compact Pi-Structure Dual Band Transformer," Progress In Electromagnetics Research, Vol. 88, 121-134, 2008.
doi:10.2528/PIER08102601
References

1. Shynu, S. V., G. Augustin, C. K. Aanandan, P. Mohanan, and K. Vasudevan, "Design of compact reconfigurable dual frequency microstrip antennas using varactor diodes," Progress In Electromagnetics Research, Vol. 60, 197-205, 2006.
doi:10.2528/PIER05120101

2. Mitilineos, S. A., S. C. Thomopoulos, and C. Capsalis, "Genetic design of dual-band, switched-beam dipole arrays, with elements failure correction, retaining constant excitation coefficients," Journal of Electromagnetic Waves and Applications, Vol. 20, 1925-1942, 2006.
doi:10.1163/156939306779322738

3. He, Z., X.-L. Wang, S. Han, T. Lin, and Z. Liu, "The synthesis and design for new classic dual-band waveguide band-stop filters," Journal of Electromagnetic Waves and Applications, Vol. 22, 119-130, 2008.
doi:10.1163/156939308783122689

4. Guo, C., H.-J. Sun, and X. Lu, "A novel dualband frequency selective surface with periodic cell perturbation," Progress In Electromagnetics Research B, Vol. 9, 137-149, 2008.
doi:10.2528/PIERB08071302

5. Zainud-Deen, S. H., S. M. Gaber, and S. M. M. Ibrahem, "Built-in dual frequency antenna with an embedded camera and a vertical ground plane," Progress In Electromagnetics Research Letters, Vol. 3, 51-60, 2008.
doi:10.2528/PIERL08012803

6. Chow, Y. L. and K. L. Wan, "A transformer of one-third wavelength in two sections-for a frequency and its first harmonic," IEEE Microw. Wireless Compon. Lett., Vol. 12, No. 1, 22-23, 2002.
doi:10.1109/7260.975723

7. Monzon, C., "Analytical derivation of a two-section impedance transformer for a frequency and it first harmonic," IEEE Microw. Wireless Compon. Lett., Vol. 12, No. 10, 381-382, 2002.
doi:10.1109/LMWC.2002.804558

8. 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

9. 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

10. Wu, L., H. Yilmaz, T. Bitzer, A. Pascht, and M. Berroth, "A dual-frequency Wilkinson power divider: For a frequency and its first harmonic," IEEE Microw. Wireless Compon. Lett., Vol. 15, No. 2, 107-109, 2005.
doi:10.1109/LMWC.2004.842848

11. Kawai, T., Y. Jun, Y. Kokubo, and I. Ohta, "A design method of dual-frequency wilkinson power divider," Asia-Pacific Microwave Conference (APMC), 913-916, Dec. 12-15 2006.
doi:10.1109/APMC.2006.4429561

12. Wu, Y. L., H. Zhou, Y.-X. Zhang, and Y.-A. 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

13. 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, Jan. 2009.
doi:10.1109/TMTT.2008.2008981

14. Cheng, K. K. M. and F. L. Wong, "A novel approach to the design and implementation of dual-band compact planar 900 branch-line coupler," IEEE Trans. Microw. Theory Tech., Vol. 52, No. 11, 2458-2463, 2004.
doi:10.1002/mop.23465

15. Mohra, A. S. S., "Compact dual band Wilkinson power divider," Microwave and Optical Technology Letters, Vol. 50, No. 6, 1678-1682, 2008.
doi:10.1109/TMTT.1976.1128802

16. Pozar, D. M., Microwave Engineering, 3rd Ed., Wiley, 2005.
doi:10.1109/TMTT.1976.1128802

17. Milligan, T. A., "Transmission-line transformation between arbitrary impedances," IEEE Trans. Microw. Theory Tech. (Letters), Vol. 24, 159, Mar. 1976.
doi:10.1109/TMTT.1976.1128802

18. Potok, M. H. N., "Comments on `transmission-line transformation between arbitrary impedances'," IEEE Trans. Microw. Theory Tech. (Letters), Vol. 25, No. 77, Jan. 1977.