In this paper, a new optical transmission model was investigated and developed in order to improve the performance of Wavelength Division Multiplexing optical transmission systems. For this purpose, an efficient theoretical method combining a Fiber Bragg Grating (FBG) and Erbium Doped Fiber Amplifier (EDFA) was implemented. Enhancements on the transmitted signal amplitudes with important compensation of the chromatic dispersions and large reduction on the nonlinear effects were obtained. The reflectivity peak, the full width at half maximum bandwidth, and the side lobe level have been studied in depth to demonstrate the efficiency of the proposed method. To apply the new method, we considered a complicated system of 16-channel wavelengths, where the split-step fourier method was used to solve the nonlinear Schrödinger equations, and the transfer matrix method was applied to describe the coupled mode equations. The wavelengths corresponding to different values of reflectivity peaks calculated previously in the FBG outputs section were injected as EDFA inputs to determine the output power and the gain of the new transmission system. All results are analyzed using Matlab program.

中文翻译：

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分步傅里叶方法的新型WDM光远程网络的理论分析

为了提高波分复用光传输系统的性能，本文研究并开发了一种新的光传输模型。为此，实施了一种有效的理论方法，将光纤布拉格光栅（FBG）和掺Do光纤放大器（EDFA）相结合。获得了对传输信号幅度的增强，并且对色散进行了重要补偿，并且大大减小了非线性效应。深入研究了反射率峰值，半高带宽的全宽和旁瓣电平，以证明所提方法的效率。为了应用新方法，我们考虑了一个复杂的16通道波长系统，其中采用分步傅立叶方法求解非线性Schrödinger方程，用传递矩阵法描述了耦合模方程。将与先前在FBG输出部分中计算出的反射率峰值的不同值对应的波长作为EDFA输入注入，以确定输出功率和新传输系统的增益。使用Matlab程序分析所有结果。