2016-05-11
Design of Multi-Stage Power Divider Based on the Theory of Small Reflections
By
Progress In Electromagnetics Research Letters, Vol. 60, 23-30, 2016
Abstract
This paper presents a novel multi-way multi-stage power divider design method based on the theory of small reflections. Firstly, the application of the theory of small reflections is extended from transmission line to microwave network. Secondly, an explicit closed-form analytical formula of the input reflection coefficient, which consists of the scattering parameters of power divider elements and the lengths of interconnection lines between each elements, is derived. Thirdly, the proposed formula is applied to determine the lengths of interconnection lines. A prototype of a 16-way 4-stage power divider working at 4 GHz is designed and fabricated. Both the simulation and measurement results demonstrate the validity of the proposed method.
Citation
Tongfei Yu, Dongping Liu, Zhiping Li, and Jungang Miao, "Design of Multi-Stage Power Divider Based on the Theory of Small Reflections," Progress In Electromagnetics Research Letters, Vol. 60, 23-30, 2016.
doi:10.2528/PIERL16011001
References

1. Zheng, C., X. Yao, A. Hu, and J. Miao, "Initial results of a passive millimeter-wave imager used for concealed weapon detection BHU-2D-U," Progress In Electromagnetics Research C, Vol. 43, 151-163, 2013.
doi:10.2528/PIERC13062801        Google Scholar

2. Nova, E., J. Romeu, F. Torres, M. Pablos, J. M. Riera, A. Broquetas, and L. Jofre, "Radiometric and spatial resolution constraints in millimeter-wave close-range passive screener systems," IEEE Trans. Geosci. Remote Sens., Vol. 51, No. 4, 2327-2336, 2013.
doi:10.1109/TGRS.2012.2211025        Google Scholar

3. Zhou, J., K. A. Morris, and M. J. Lancaster, "General design of multi-way multi-section power General design of multi-way multi-section power," IEEE Trans. Microwave Theory Tech., Vol. 55, No. 10, 2208-2215, 2007.
doi:10.1109/TMTT.2007.906541        Google Scholar

4. Xu, Y. and R. G. Bosisio, "Design of multi-way Wilkinson planar power dividers by using stepped impedance transformers," IEEE Trans. Microwave Theory Tech., Vol. 60, No. 9, 2781-2790, 2012.
doi:10.1109/TMTT.2012.2207911        Google Scholar

5. Xu, Y. and R. G. Bosisio, "Design of wideband six- and eight-way Wilkinson planar power dividers using stepped impedance transformers," Microwave and Optical Technology Letters, Vol. 58, No. 1, 189-192, January 2016.
doi:10.1002/mop.29525        Google Scholar

6. Kishihara, M., I. Ohta, and K. Yamane, "Multi-stage, multi-way microstrip power dividers with broadband properties," IEICE Transactions on Electronics, Vol. 89, No. 5, 622-629, 2006.
doi:10.1093/ietele/e89-c.5.622        Google Scholar

7. Wu, Y., Y. Liu, Q. Xue, S. Li, and C. Yu, "Analytical design method of multiway dual-band planar power dividers with arbitrary power division," IEEE Trans. Microwave Theory Tech., Vol. 58, No. 12, 3832-3841, 2010.
doi:10.1109/TMTT.2010.2086712        Google Scholar

8. Oraizi, H. and A. R. Sharifi, "Design and optimization of broadband asymmetrical multisection Wilkinson power divider," IEEE Trans. Microwave Theory Tech., Vol. 54, No. 5, 2220-2231, 2006.
doi:10.1109/TMTT.2006.872786        Google Scholar

9. Ahmed, U. T. and A. M. Abbosh, "Extremely wideband inphase power divider using modified Wilkinson design," Microwave and Optical Tech. Lett., Vol. 57, No. 8, 1799-1802, 2015.
doi:10.1002/mop.29187        Google Scholar

10. Li, J. L. and B. Z. Wang, "Novel design of Wilkinson power dividers with arbitrary power division ratios," IEEE Transactions on Industrial Electronics, Vol. 58, No. 6, 2541-2546, 2011.
doi:10.1109/TIE.2010.2066536        Google Scholar

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

12. Park, M. J. and B. Lee, "A dual-band Wilkinson power divider," IEEE Microwave and Wireless Components Letters, Vol. 18, No. 2, 85-87, 2008.
doi:10.1109/LMWC.2007.915031        Google Scholar

13. Lu, L. H., Y. T. Liao, and C. R. Wu, "A miniaturized Wilkinson power divider with CMOS active inductors," IEEE Microwave and Wireless Components Letters, Vol. 15, No. 11, 775-777, 2005.
doi:10.1109/LMWC.2005.859020        Google Scholar

14. Gong, J. Q., K. Gao, and C. H. Liang, "Synthesis of a miniaturised wireless local area network dual-band microstrip Wilkinson power divider through a general three-step optimisation process," IET Microwaves, Antennas and Propagation, Vol. 9, No. 12, 1274-1278, 2015.
doi:10.1049/iet-map.2014.0867        Google Scholar

15. David, M. P., Microwave Engineering, 4th Ed., 250-252, John Wiley & Sons, 2009.