Table 1: Comparison of our calculated resonant frequencies with those obtained via the cavity model [18] combined with electromagnetic knowledge [13] for various anisotropic substrate materials;  cm × 1 cm, ,  mm, 106 S/m,  nm,  K,  nm, and  K.

Anisotropic substrate Resonant frequency (GHz) Error (%)
Dielectric This workCavity model [18] combined with electromagnetic knowledge [13]

Sapphire(9.4, 11.6)4.3714.3630.18
Epsilam-10(13, 10.3)4.6314.6200.24
Pyrolytic boron nitride(5.12, 3.4)7.9968.0340.47
PTFE(2.88, 2.43)9.4289.5150.92