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Article information
2014 , Volume 19, ¹ 6, p.65-76
Redyuk A.A.
Mathematical modelling of the parametric amplification of the optical signal with wavelength-division multiplexing
Purpose. The purpose of the paper is to investigate how performance of gain spectra for one-pump parametric amplification of wavelength-division multiplexing optical signal depends on system parameters such as pump power, wavelength offset between pump wavelength and zero-dispersion wavelength, the length of highly nonlinear fiber and fourth order dispersion. Methodology. A mathematical model of wavelength-division multiplexing applied for propagation of optical signal along highly nonlinear optical fiber is based on the nonlinear Schr¨odinger’s equation with Kerr law nonlinearity. To perform numerical simulations, the well-known split-step Fourier method has been employed. In the numerical model pump was considered as continuous wave, whereas signal was considered as return-to-zero binary phase modulated pulse pattern. Findings. We have presented the results of numerical simulation of wavelength-division multiplexing system with parametric amplification. We have observed the saturation of the amplifier when the pump power is above the threshold. We have shown that the pump wavelength has to be a few nanometers larger than the zero-dispersion wavelength in order to obtain the high, flat and broad C-band amplification gain. We have found that the required pump power may be reduced and flatness of the gain spectrum may be improved by means of increasing the length of the fiber. Originality/value. The present study provides an original method to numerically determine the shape of gain spectra in case of wavelength-division multiplexing for optical signal.
[full text]
Keywords: Mathematical modelling, optical parametric amplifiers, nonlinear optics, optical fiber communication, nonlinear differential equations
Author(s):
Redyuk Alexey Alexandrovich
PhD.
Position: Research Scientist
Office: Institute of Computational Technologies of the Siberian Branch of the Russian Academy of Sciences
Address: 630090, Russia, Novosibirsk, 6 Acad. Lavrentjev avenue
Phone Office: (383)-330-97-72
E-mail: alexey.redyuk@gmail.com
SPIN-code: 5467-1055 References:
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Bibliography link:
Redyuk A.A. Mathematical modelling of the parametric amplification of the optical signal with wavelength-division multiplexing // Computational technologies. 2014. V. 19. ¹ 6. P. 65-76
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