  In the previous paper (Osmanov 2016) (henceforth Paper-I) we have extended
the idea of Freeman Dyson and have shown that a supercivilization has to use
ring-like megastructures around pulsars instead of a spherical shell. In this
work we reexamine the same problem in the observational context and we show
that facilities of modern IR telescopes (VLTI and WISE) might efficiently
monitor the nearby zone of the solar system and search for the IR Dyson-rings
up to distances of the order of $0.2$kpc, corresponding to the current highest
achievable angular resolution, $0.001$mas. In this case the total number of
pulsars in the observationally reachable area is about $64\pm 21$. We show that
pulsars from the distance of the order of $\sim 1$kpc are still visible for
WISE as point-like sources but in order to confirm that the object is the
neutron star, one has to use the UV telescopes, which at this moment cannot
provide enough sensitivity.
