This paper presents a numerical analysis of field propagation inside a waveguide diplexer network. To do the analysis the diplexer network has been modeled using multiple cavities and then solved using a method of moments. Field propagation inside the network has been demonstrated in terms of aperture field distributions at various transverse planes of the network at the two-channel frequencies and a stopband frequency. To validate the numerical analysis, the frequency responses of the diplexer have been compared with literature available data.