  In this paper, we utilize tools from stochastic geometry to estimate the
interference propagation via reconfigurable intelligent surface (RIS) in the
millimeter wave (mmWave, 30-300 GHz) band and specifically on the D band
(110-170 GHz). The RISs have been of great interest lately to maximize the
channel gains in non-line-of-sight (NLOS) communication situations. We derive
expressions for stochastic interference level in RIS powered systems and
validate those with simulations. It will be shown that the interference levels
via RIS link are rather small compared to the designed RIS link or the LOS
interference as the random interference loses significant part of the RIS gain.
We also analyse the validity of far field channel and antenna gains in the near
field of a large array. It is shown that, while the high frequency systems
require large arrays that push the far field far away from the antenna, the far
field equations are very accurate up to about half way of the near field.
