Abstract
In this paper, we develop a general first-order perturbation theory
of the propagation of a signal in an optical fiber in the presence of amplification
and Kerr nonlinearity, valid for arbitrary pulse shapes. We obtain a general
expression of the sampled signal after optical filtering, coherent detection,
and optimal sampling. We include intrachannel and as well as interchannel
nonlinear effects. We obtain simplified expressions in the case in which the
accumulated dispersion is high (equivalent to the far-field limit in paraxial
optics). This general theory is applied in detail to the special case of spectral-efficient
sinc pulses. This exercise shows that the characteristics of the neighboring
wavelength-division multiplexed channels are essential in determining the
nonlinear impairments.
© 2012 IEEE
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