A way to determine some important etching parameters in the step fabricatio
n for high T-c step-edge Josephson junctions is described based on an analy
sis of the dynamics of the etching process. The optimum thickness of the et
ch mask is defined with negligible recession of the mask edge during the et
ch. Under this condition, the equilibrium angle of the steps etched on the
SrTiO3 (STO) substrate with an Nb mask has been calculated to be about 76 d
egrees. With optimized mask thickness, its sharp sidewall and straight edge
, high-quality steps on STO substrates with step height from 200-300nm and
step angle above 70 degrees are made. Josephson junctions and dc-SQUIDs wit
h high reproducibility and less parameter scatter are obtained on the step
substrates.