  An emerging and promising vision of wireless networks consists of coating the
environmental objects with reconfigurable metasurfaces that are capable of
modifying the radio waves impinging upon them according to the generalized law
of reflection. By relying on tools from point processes, stochastic geometry,
and random spatial processes, we model the environmental objects with a
modified random line process of fixed length, and with random orientations and
locations. Based on the proposed modeling approach, we develop the first
analytical framework that provides one with the probability that a randomly
distributed object that is coated with a reconfigurable metasurface acts as a
reflector for a given pair of transmitter and receiver. In contrast to the
conventional network setup where the environmental objects are not coated with
reconfigurable metasurfaces, we prove that the probability that the typical
random object acts as a reflector is independent of the length of the object
itself. The proposed analytical approach is validated against Monte Carlo
simulations, and numerical illustrations are given and discussed.
