On the capacity region of the Poisson interference channels

The Poisson interference channel is studied, which models optical communication systems with multiple transceivers. Conditions for the strong interference is characterized and the corresponding capacity region is given, which is the same as that of the compound Poisson multiple access channel with each receiver decoding both messages. For the cases when the strong interference conditions are not satisfied, inner and outer bounds on the capacity region are derived. Finally, numerical results are provided to illustrate the derived regions.