Resonant Modes of Rectangular PEC Cavity with a Substrate

Cavity size: length: 4.3cm, width: 3.9cm, height: 2cm. The cavity is filled with air and a layer of substrate. The thickness of the substrate is 0.5mm and its relative permittivity is 2.2. HFSS 8.5 uses 11602 tetrahedrons for the simulation.

Compared with the same cavity without substrate, the resonant frequency decreases a little. The modal field is very similar. One interesting observation is TE111 and TM111 modes have different frequencies due to the disturbance caused by the substrate, so that HFSS obtains separate TE111 and TM111 mode.

Mode Resonant Frequency (GHz) Electric Field
with substrate without substrate
TM110 5.15256 5.18874
TM210 7.90349 7.96024
TE101 8.26501 8.26502
TE011 8.37889 8.42173
TM120 8.42199 8.43899
TM111 9.07420 9.11391
TE111 9.11459 9.11416
TE201 10.2344 10.2324
TM220 10.2988 10.3730
TE021 10.7336 10.7313

by Yaxun Liu, 2003