Title :
Simple, Fast, and Effective Identification of an Equivalent Circuit of a Waveguide Junction With
Ports
Author :
Zappelli, Leonardo
Author_Institution :
Dipt. di Ing. dell´Inf., Univ. Politec. delle Marche, Ancona, Italy
Abstract :
A simple, drawable, and efficient equivalent circuit is proposed to represent a discontinuity/junction with N ports. The circuit is based on N transmission lines connected to the sides of a polygon with N side. N( N-1)/2 susceptances are placed on the sides and on the inner diagonals of the polygon. The circuit modularity permits to identify the N( N+1)/2 electrical parameters in a simple way. In fact, the lengths of the N transmission lines are obtained solving a system of N polynomial equations and the N( N-1)/2 susceptances are obtained solving a simple linear equation system. The proposed circuit is used to evaluate the equivalent circuit of some directional couplers in the horizontal plane and of a 3-D six-port coupler acting on the horizontal and vertical planes.
Keywords :
directional couplers; equivalent circuits; linear algebra; polynomials; transmission lines; waveguide junctions; 3-D six-port coupler; N polygon sides; N polynomial equations; N ports; N transmission lines; directional couplers; discontinuity-junction; electrical parameters; equivalent circuit modularity identification; horizontal plane; inner diagonals; linear equation system; susceptances; vertical planes; waveguide junction; Equations; Equivalent circuits; Junctions; Kernel; Scattering; Transmission line matrix methods; Waveguide discontinuities; Circuit analysis; circuit identification; component modeling; directional couplers; discontinuities; electromagnetic modeling; equivalent circuits; filter synthesis; model extraction of passive circuits;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2014.2375881