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The subject of this paper is the presentation of an analytical physical model for the connectivity evaluation of dual polarized multi-hop wireless backhaul networks operating at frequencies above the 10GHz. Physical phenomena related to propagation of millimeter radio waves through the atmosphere cause signal impairments and depolarization. These phenomena strongly affect the topology and the connectivity of a wireless multi-hop network. Taking into account the dominant propagation conditions at these frequencies and the impact of signal depolarization, we calculate the node isolation probability and the critical node density. We will show that dual polarization scarcely aggravates the node isolation probability and the network's connectivity so that it can be considered as a major solution for increasing the links throughput at the future backhaul networks. The sensitivity of isolation probability and critical node density on frequency of operation, transmission power and climatic conditions is finally investigated.