  Compared to the existing lower frequency wireless power transfer, millimeter
wave (mmWave) power transfer takes advantage of the high-dimensional
multi-antenna and narrow beam transmission. In this paper we introduce wireless
power transfer for mmWave cellular networks. Here, we consider users with large
energy storage that are recharged by the mmWave base stations prior to uplink
information transmission, and analyze the average harvested energy and average
achievable rate. Numerical results corroborate our analysis and show that the
serving base station plays a dominant role in wireless power transfer, and the
contribution of the interference power from the interfering base stations is
negligible, even when the interfering base stations are dense. By examining the
average achievable rate in the uplink, when increasing the base station
density, a transition from a noise-limited regime to an interference-limited
regime is observed.
