Possible Method to Reconstruct the Cosmic Equation of State from Strong Gravitational Lensing Systems

A possible method to reconstruct the cosmic equation of state using strong gravitational lensing systems is proposed. The feasibility of the method is investigated by carrying out the reconstruction on the basis of a simple Monte-Carlo simulation. We show that the method can work and that the cosmic equation of state $w(z)$ can be determined within errors of $\Delta w\sim \pm0.1$ -- $\pm0.2$ when a sufficiently large number of lensing systems ($N\sim 20$) for $z\simlt 1$ are precisely measured. Statistics of lensed sources in a wide and deep survey like the SDSS are also briefly discussed.