Optical Soliton Transmission System

Optical Soliton Transmission System

DOI: 10.4018/978-1-4666-6575-0.ch003
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Performance analysis is carried out to evaluate the effect of XPM on a Dispersion Managed (DM) 40Gb/s optical soliton transmission using direct detection, in the presence of Group Velocity Dispersion (GVD), Self-Phase Modulation (SPM), and Amplified Spontaneous Emission (ASE) in this chapter. It is found that for a distance of 2000 km, a power penalty of 1.9 dB is required to achieve a BER of 10-9 when XPM is taken into consideration. This power penalty increases with increasing neighbouring channel power and decreases with increasing channel separation. The system performance is also shown to be dependant on the system dispersion whereby the optimum dispersion is linked to the channel input power.
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Theoretical Analysis

Using the slowly-varying envelope approximation, the propagation of the two channels along the transmission medium is governed by the Nonlinear Schröndinger Equation (NLS). For this analysis, we consider the attenuation factor, the second and third order dispersion coefficients (linked to GVD), the Raman shift as well as the SPM and XPM effects given as follows:

  • Channel 1:


  • Channel 2:


where978-1-4666-6575-0.ch003.m03 represents the nth channel’s attenuation parameter, 978-1-4666-6575-0.ch003.m04 represents the nth channel’s second order dispersion parameter, 978-1-4666-6575-0.ch003.m05 represents the nth channel’s third order dispersion parameter, 978-1-4666-6575-0.ch003.m06 represents the nth channel’s nonlinearity coefficient, 978-1-4666-6575-0.ch003.m07 represents the nth channel’s Raman shift, and 978-1-4666-6575-0.ch003.m08 represents the walk-off parameter between channels 1 and 2.

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