Cascade synthesis of 2-D dissipative reactance networks

In this paper, a new result, new formulas of transfer function and input impedance, for 2-D dissipative reactance network cascade synthesis is given in terms of simplified formulas to realize doubly terminated resistively 1-D dissipative reactance networks. The new result includes the more general cases, e.g. the both can be dissipative or one is dissipative and the another is a lossless reactance subnetwork and so on. Two calculation examples are given in the paper to illustrate the above realizations. Besides, considering some problems of the direct connection between two subnetworks, we also introduce one-way lines to discuss the cascade synthesis of nonreciprocal 2-D dissipative reactance networks.