experiments, which implies that every alternative method of restricting cosmological parameters is desired. In particular, a new cosmological window would open if we could measure the cosmic expansion directly within the “redshift desert”, roughly corresponding to redshifts $2<z<5$. As one of the successful predictions of general relativity in the past decades, strong gravitational lensing has become a very important astrophysical tool allowing us to use individual lensing galaxies to measure cosmological parameters [@Treu06]. When the source, lens, and observer are sufficiently well aligned, the deflection of light forms an Einstein ring, from which the source/lens distance ratios can be obtained. @Biesiada06 first proposed the possible application of this kind of observation as a cosmological tool, the importance of which method was stressed again by @Grillo [@Biesiada]. The idea of using such systems for measuring the cosmic equation of state was discussed in @Cao12JC and also in a more recent paper by @Cao15Ap. The angular diameter distance ratios may also be used to constrain different cosmological parameters in various cosmological models [@Futamase; @Treu640; @Melia]. On the one hand, in order to achieve high precision constraints on the cosmological parameters, it is still necessary to develop new complementary techniques bridging the redshift 