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Analytical derivation of channel capacity in uncompensated optical space-division multiplexing systems

In this paper, we present a detailed analytical approach to obtain the channel capacity of optical space-division multiplexing (SDM) systems. To this aim, the nonlinearity effects of optical fiber are modeled as additive white Gaussian noise (GN) process, and accordingly a closed-form formula is derived for SDM capacity. Furthermore, we extend our result to a more generalized case, which includes different bandwidth, center frequency, and transmission powers.