Modeling and Numerical Simulation of the Gain Spectrum of 1250nm-1350nm Neodymium-doped Broadband Fibre Amplifiers

Abstract

Nowadays, with the rapid development of information technology, the optical transmission of signals has replaced electrical transmission and become the most widely used method in the world. However, when transmitting the light signal, the loss in energy could not be ignored in the long distance transmission, which highlights the importance of fibre amplifiers. This research focuses on studying the Neodymium-doped fibre amplifier operating in the 1250nm-1350nm band. In this paper, the rate equation and power propagation equation of Neodymium ions are modeled using MATLAB based on its four-level system. With that model, the variations of the gain of the Neodymium-doped fibre amplifier with fibre length, the concentration of Neodymium ions and pumping power are simulated. The results demonstrate that as the fibre length increases in the certain range, the gain rises at first and then drops. The presented peak could be easily obtained. The changing trend of the gain when the concentration of Neodymium ions increases is similar. However, the gain continues to increase when the pump power increases in the practical range. This experiment provides great references in the production of the Neodymium-doped fibre amplifier in the future.