wide and deep sky surveys, with improved depth, area and resolution may increase the current galactic-scale lens sample sizes by orders of magnitude. The purpose of our paper is to investigate the constraining capability of SGL on some fundamental cosmological parameters, using the simulated SGL sample based on the forthcoming Large Synoptic Survey Telescope (LSST) survey. More importantly, compared with the previous procedure of carrying out the reconstruction within thin redshift-shells of sources [@Yennapureddy], we turn $D_{ls}/D_s$ into a one-dimensional function of source redshift ($z_s$) for what is essentially a fixed lens redshift ($z_l$). The advantage of this work lies in the fact that, we could achieve reasonable constraints on cosmological parameters at much higher redshifts ($z\sim4$), when the sample is large enough to yield enough statistics to warrant this approach. As can clearly seen from the previous analysis [@Yennapureddy], the current SGL sample is not sufficient enough to extend our investigation to $z\sim 4$ (the data are less dispersed in the lens plane, and scattered much more in the source plane).

This paper is organized as follows. In Sect. 2 we briefly describe the methodology and the simulated strong lensing data from LSST. In Sect. 3 we introduce our 