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Three-port 3-dB power divider terminated by different impedances and its application to MMICs

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2 Author(s)
Hee-Ran Ahn ; Dept. of Electr. Eng., Gerhard-Mercator Univ., Duisburg, Germany ; I. Wolff

The three-port 3-dB power divider (T3PD) terminated by different impedances considered in this paper is very useful for a small-sized circuit design. New design equations for T3PDs are derived. They can be applied to T3PDs with both different termination impedances and, especially, a 3-dB power division. If a T3PD is terminated by different impedances, scattering parameters cannot be derived with conventional even- and odd-mode methods. Under these conditions, basis-independent normalized scattering parameters are derived. As these scattering parameters are only dependent on the ratio of Rc to Rb (where Rc and Rb are two termination impedances that are connected with an isolation resistor), the ratio of Rc to Rb “t” is introduced to analyze all load conditions and the derived scattering parameters are proven to be correct by a commercial program. For the frequency-response characteristics, a T3PD terminated by 40, 50, and 60 Ω has been simulated using ideal transmission lines. Also, a simple method for determining the exact values of two indispensable elements-coplanar rectangular inductances (C-RINDs) and coplanar metal-insulator-metal capacitors (C-MIMs)-in coplanar monolithic-microwave integrated-circuit (C-MMIC) technology is presented using a resonator technique. As another trial, a new type of lumped-element three-port 3-dB power divider (LET3PD) with low insertion loss and its design equations are presented. Finally, a coplanar T3PD terminated by 30, 53, and 47 Ω was fabricated on an Al2O3 substrate (εr =9.9 and h=635 μm) and it shows good agreement between experimental and theoretical results

Published in:

IEEE Transactions on Microwave Theory and Techniques  (Volume:47 ,  Issue: 6 )