Application of the field-component FDM in CAA of waveguide three-port junctions

A numerical approach based on the 3D finite-difference method and the analytical results of the fields in waveguides is developed for the analysis of the characteristics of waveguide three-port junctions. The basic two wave equations described by two transverse field components with respect to the direction of the power propagation are derived from the Maxwell Equations in cylindrical coordinates. For the junctions filled with air, there is only one field component in each equation, and generally solving the equation relative to electric field is enough for the obtain of the property of the junction. Two typical cases were analyzed by the approach and the results agree well with the earlier experimental and theoretical results.