Broadband Matching Network Design via Explicit Solutions of Two-Variable Scattering Equations

Abstract

In many applications, circuits containing lumped elements are preferred because they are small in size. Also the

losses in the designed circuits should be kept as low as possible. Unfortunately, especially at microwave frequencies, it is not

possible to avoid the losses caused by the connections between the lumped elements. However, the use of these connections as

circuit elements will improve the performance of the circuit. Therefore, it is inevitable to use circuits containing mixed

(lumped and distributed) elements at microwave frequencies. Mixed lumped and distributed element two-port networks are

described by means of two-variable scattering equations. So it is necessary to obtain the solutions of these equations to design

this kind of networks. In literate, the solutions of these equations for some classes of low-order ladder networks are given

under some restrictions. But in this paper, a broadband matching network is designed by using explicit solutions of the

equations without any restrictions. Then the obtained results and the results obtained in the literature have been compared.

Keywords

• Scattering equations,two-port networks,broadband networks,matching networks,ladder networks

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