为了提高受激布里渊散射慢光的延时和抑制脉冲展宽,通过四阶Runge-Kutta法和特征线法对基于光纤的受激布里渊散射耦合方程组进行数值求解,计算了斯托克斯脉冲边沿陡峭程度、功率、宽度对延迟时间以及脉冲展宽因子的影响,提出了在低频范围内适当提高斯托克斯脉冲的边沿陡峭程度,可以优化延时和脉冲展宽因子的方法。该方法可以获得与高斯脉冲近似相等的延时和很小的脉冲展宽因子。基于波形能量差异的理论分析也证实了提高边沿陡峭程度对抑制脉冲展宽有明显的影响。 In order to increase the slow time delay and suppress the pulse broadening of stimulated Brillouin scattering, the fourth-order Runge-Kutta method and the characteristic line method are used to numerically solve the fiber-based stimulated Brillouin scattering coupled equations. The influence of steepness, power, and width of pulse edge on the delay time and pulse broadening factor is proposed. The method of properly increasing the steepness of the Stokes pulse in the low frequency range and optimizing the delay and pulse broadening factors is proposed. This method can obtain approximately the same delay as the Gaussian pulse and a small pulse broadening factor. The theoretical analysis based on the difference of the waveform energy also confirms that increasing the steepness of the edge has a significant effect on suppressing the pulse broadening.