Abstract—
The communication line without compensation of dispersion is considered. It is shown analytically and numerically that the field power in the fiber on almost the entire length of the communication line is given by the \(\chi _{2}^{2}\) distribution. Using the 8-PSK format as an example, we have obtained the dependences of the phase noise dispersion in the chirp parameter of initial pulses. It is found that the accumulated phase shift has the normal distribution with a dispersion decreasing upon an increase in the chirp of the initial Gaussian pulses. We propose an adequate linear estimate of the accumulated nonlinearity.
REFERENCES
Yu, J. and Zhang, J., Digital Commun. Networks, 2016, vol. 2, p. 65.
Li, X., Chen, X., Goldfarb, G., Mateo, E., Kim, I., Yaman, F., and Li, G., Opt. Express, 2008, vol. 16, p. 880.
Kumar, S., J. Opt., 2021, vol. 23, p. 123502.
Karanov, B., Chagnon, M., Thouin, F., Eriksson, T.A., Bulow, H., Lavery, D., Bayvel, P., and Schmalen, L., J. Lightwave Technol., 2018, vol. 36, p. 4843.
Skidkin, A.S., Sidel’nikov, O.S., and Fedoruk, M.P., Quantum Electron., 2018, vol. 48, p. 1160.
Fan, Q., Zhou, G., Gui, T., Lu, C., and Lau, A.P.T., Nat. Commun., 2020, vol. 11, p.3694.
Shapiro, E.G. and Shapiro, D.A., Quantum Electron., 2020, vol. 50, p. 184.
Shapiro, E.G. and Shapiro, D.A., Quantum Electron., 2021, vol. 51, p. 635.
Johnson, N. and Lion, F., Statistika v planirovanii eksperimenta v tekhnike i nauke (Statistics and Planning of Experiments in Technology and Science), Moscow: Mir, 1980.
Agraval, G., Applications of Nonlinear Fiber Optics, London: Academic, 2001.
Poggiolini, P. and Jiang, Y., J. Lightwave Technol., 2016, vol. 35, p. 458.
Yushko, O.V., Nanii, O.E., Redyuk, A.A., Treshchikov, V.N., and Fedoruk, M.P., Quantum Electron., 2015, vol. 45, p. 75.
Funding
This study was supported by the Ministry of Science and Higher Education of the Russian Federation (project AAAA-A21-121012190005-2).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflict of interests.
Additional information
Translated by N. Wadhwa
About this article
Cite this article
Shapiro, E.G., Shapiro, D.A. Nonlinear Noise Statistics in a High-Speed Optical Communication Line without Dispersion Compensation. Bull. Lebedev Phys. Inst. 49 (Suppl 1), S96–S104 (2022). https://doi.org/10.3103/S1068335622130103
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068335622130103