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Probing statistical distribution of the neutral hydrogen (\HI) using theredshifted 21-cm hyperfine-transition spectral line holds the key to understandthe formation and evolution of the matter density in the universe. Thetwo-point statistics of the \HI distribution can be estimated by measuring thepower spectrum of the redshifted 21-cm signal using visibility correlation. Amajor challenge in this regard is that the expected signal is weak compared tothe foreground contribution from the Galactic synchrotron emission andextragalactic point sources in the observing frequencies. In this work, weinvestigate the possibility of detecting the power spectrum of the redshifted21-cm signal by using strong gravitational lensing of the galaxy clusters. Thismethod has the advantage that it only enhances the \HI signal and not thediffuse galactic foreground. Based on four simple models of the clusterpotentials we show that the strong lenses at relatively lower redshifts withmore than one dark matter halo significantly enhances the 21-cm signal from thepost reionization era. We discuss the merits and demerits of the method and thefuture studies required for further investigations.

Using strong gravitational lensing to probe the post reionization \HI power spectrum