We investigate the impact of stimulated Raman scattering (SRS) in multi-band transmissions. We first derive and test against numerical results an extended Christodoulides-Zirngibl (ECZ) SRS model based on a triangular approximation of the Raman gain. Then, we exploit the ECZ SRS model in the context of the Gaussian noise (GN) model. We generalize some known closed-form expressions of the self-and crossphase modulation variances, as well as the amplified spontaneous emission noise variance, over multi-band systems of bandwidth wider than the SRS bandwidth, i.e., beyond the C+L band. Finally, the proposed theoretical model is used to estimate the performance of multi-band systems in terms of signal-to-noise ratio (SNR) and achievable information rate (AIR).Index Terms-Stimulated Raman scattering (SRS), Gaussian noise (GN) model, multi-band, ultra-wide band.
I. INTRODUCTIONM ULTI-BAND transmissions represent a viable strategy to enhance the throughput of optical systems by increasing the signal bandwidth [1]. The main advantage of wavelength division multiplexing (WDM) multi-band systems compared to other high-capacity system designs lies in the capability to be used over single-mode fibers (SMFs), which already populate the optical networks.However, while the technology underpinning SMF transmissions is well consolidated for the so-called C band (1530-1565 nm), the transmission over wider bandwidths must address several technological challenges. For instance, multi-band amplification techniques are needed to support such systems. While common erbium-doped fiber amplifiers (EDFAs) can still be used to amplify the L band (1565-1625 nm) at the expense of a higher noise figure, the amplification of the S (1460-1530 nm) and the E (1360-1460 nm) bands requires different rare-earth Manuscript received ******* **, 2022.
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