Analysis of High 𝑇_𝑐 Superconducting Rectangular Microstrip Patches over Ground Planes with Rectangular Apertures in Substrates Containing Anisotropic Materials

Table 4

Resonant frequencies of different TM modes of high 𝑇_𝑐 superconducting rectangular microstrip patch printed on anisotropic Sapphire over ground plane with rectangular aperture; 𝑎×𝑏=1.5 cm × 1 cm, 𝑎_𝑎×𝑏_𝑎=2.1 mm × 1.4 mm, 𝑑 = 2 mm, 𝜎_𝑛=10⁶ S/m, 𝜆₀=140 nm, 𝑇_𝑐=89 K, 𝑒=350 nm, and 𝑇=40 K.

Mode TM𝑛𝑚	Resonant frequencies (GHz)		Fractional change (%)
	Considering anisotropy (𝜀𝑥,𝜀𝑧)=(9.4,11.6)	Neglecting anisotropy (𝜀𝑥,𝜀𝑧)=(11.6,11.6)
TM10	2.946	2.909	1.26
TM01	4.032	3.967	1.61
TM11	5.288	5.197	1.72
TM20	5.643	5.567	1.35
TM02	7.626	7.453	2.27