of the effects of a resistively coated upper dielectric layer on the propagation characteristics of hybrid modes in a waveguide shielded microstrip using method of lines," IEEE Trans. . L. Foo and P. P. Silvester, "Boundary-marching method for discontinuity analysis in waveguides of arbitrary cross section," IEEE Trans.Abstract-A =4 rectangular-waveguide resonator of square cross section filled with high-permittivity ceramics has two degenerate lowest modes. A dual-mode bandpass filter based on this structure is studied, focusing on the attenuation poles at both sides of the passband. It is described how to achieve capacitive and inductive coupling between dominant modes of a resonator of square cross section. An equivalentcircuit model is proposed, including mode coupling, excitation from the external circuit, and direct coupling between input/output (I/O) electrodes. Equivalent-circuit parameters are measured and their validity is verified using simulated result. Appearance and annihilation of the attenuation poles are successfully explained by the proposed model, and attenuation pole frequencies are controlled by shifting the I/O electrode transversely.