where Za and Zb are the impedances presented by the λ/4 sections of the Wilkinson divider.1,2
The microwave architecture can be implemented in three steps. The first step involves building a 1:2 asymmetrical Wilkinson power divider, with different λ/4 sections, allowing asymmetrical division of the input signal into 1:3 and 2:3 paths. Then, an ordinary 1:2 Wilkinson power divider is designed, to divide the 2:3 of the input signal equally between the output ports. Finally, the 1:3 Wilkinson divider is assembled by joining the asymmetrical structure of the first step with the symmetrical structure of the second step. Before implementing the microwave structure, simulations of both prototypes were performed using Eagleware software (now available from Agilent Technologies). The initial simulations showed good results for the 1:2 and 1:3 Wilkinson power divider structures (Fig. 2). All of the scattering parameter (Si,j) results, including return loss and insertion loss, were satisfactory.
Both dividers were implemented using microstrip. Further details of its impedance calculation can be found in refs. 3 and 4. The substrate material was RO5880 from Rogers Corporation, with h = 0.762 (mm), er = 2.2, and thickness of 70 m. A minimum insertion loss and a good matching, in general with a strong demand better than 20 dB can be reached for the entire UHF band from 470 to 806 MHz.
Figure 3 shows the layout of the divider implemented in the laboratory. This 1:2 asymmetrical structure sends one-third of the input power to port 2 (a drop by 4.8 dB) and the remaining portion of the input power to port 3 (a drop of 1.77 dB). The asymmetrical Wilkinson power divider presents three different impedances values, as seen by the different thickness of the lines in the layout. Figure 4 shows the final prototype that was implemented. The 1:3 Wilkinson power divider implementation includes the 1:2 asymmetrical Wilkinson power divider. Initially, the power is asymmetrical divided and then an ordinary 1:2 Wilkinson symmetrical power divider is implemented to complete the power division. The new divider has four ports, an input and three outputs, all designed for similar levels of output power and phase. Figure 5 shows the constructed 1:3 Wilkinson power divider.
The 1:2 asymmetrical Wilkinson divider and the 1:3 symmetrical Wilkinson divider were simulated and designed for optimal results in both prototypes. Measurements were made with the Agilent E5062A vector network analyzer (VNA) from Agilent Technologies across the full UHF band. The results displayed in Fig. 6 show the S21 values for the 1:2 asymmetrical Wilkinson power divider.
The S21 results for the asymmetrical port were close to the theoretical value of 4.8 dB, corresponding to one-third of the input power. Figure 7 shows port isolation based on measurements of S22. The impedance match is better than 23 dB across the UHF band.
Next, measurements for the 1:3 symmetrical Wilkinson power divider were performed. Figure 8 shows S41 for one output port, with the other two ports bearing similar results. The new Wilkinson divider showed good symmetry among ports.
The insertion loss was close to the theoretical value, with a small imbalance between ports. Figure 9 shows the matching of this port, for S44. Phase imbalances among ports are minimal. Table 1 shows experimental data, while Table 2 presents results of Sij parameters for 1
REFERENCES
1. E. Wilkinson, "An N-Way Hybrid Power Divider," IRE Transactions on Microwave Theory and Techniques, Vol. MTT-8, January 1960, pp. 116-118.
2. J. A. Justino Ribeiro, Engenharia de Microondas Fundamentos e Aplicaes, First Edition, rica, Sao Paolo, Brazil, 2008.
3. David M. Pozar, Microwave Engineering, 2nd Ed., Wiley, New York, 1998.
4. K. C. Gupta, R. Garg, I. J. Bahl, and P. Bhatia, Microstrip Lines and Slotline, Artech House, Norwood, MA, 1996.
5. Q. Guo, Y. Ma, and J. Ju, "A Novel Broadband High-Power Combiner," in the Proceedings of the 2005 IEEE Asia Pacific Microwave Conference, Sushou, December, 2005.
6. S. Horst, R. Bairavasubramanian, M. M. Tentzeris, and J. Papapolymerou, "Modified Wilkinson Power Dividers for MMWave Integrated Circuits," IEEE Transactions on Microwave Theory and Techniques, Vol. 55, No. 11, November, 2007.