J. Berntgen et al., LINE IMPEDANCE AND PROPAGATION COEFFICIENT OF NARROW SUPERCONDUCTING COPLANAR LINES MADE OF YBACUO, IEEE transactions on microwave theory and techniques, 44(2), 1996, pp. 318-325
The microwave properties of coplanar waveguides with line widths from
1 mu m to 40 mu m made of superconducting YBaCuO films with a thicknes
s t = 180 nm on LaAlO3 are investigated. The line impedance Zr and the
normalized propagation coefficient beta/beta(0) of these waveguides a
re measured between 45 MHz and 26.5 GHz at temperatures between 77.4 K
and 92 K. The ratio of the line width w to the distance of the ground
layers d is constant with w/d = 0.2. Therefore, Z(L) and beta/beta(0)
are independent of w for perfectly conducting waveguides. For superco
nducting waveguides it is found that Z(L) and beta/beta(0) differ from
the values of perfectly conducting waveguides. They increase for smal
ler line widths at a constant temperature. At w = 1 mu m and T = 80 K,
Z(L) and beta/beta(0) are nearly twice as high as calculated for perf
ect conductors, Furthermore, Z(L) and beta/beta(0) increase with the t
emperature. It is shown that these effects are attributed to an increa
se of the inductance per unit length L' due to the superconducting mat
erial, whereas the capacitance per unit length C' behaves like C' of p
erfectly conducting waveguides. Using these results, the dimensions of
the superconducting waveguides, which are necessary to obtain a desir
ed Z(L) at a given line width w, are calculated.