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在指出传统的锁模方程中的缺陷之后,利用自洽模型,重新推导出适用于同步泵浦染料激光器的锁模方程;从此方程出发,只需将其中的增益项G(t)对时间t展开到二阶,便能求出光脉冲宽度τ,强度I0等量的较精确的解析解,这些结果与实验事实相符,并能解释原方程的二阶解所无法解释的现象。A new mode-locked equation suitable for synchronously pumped dye lasers is presented, after the drawbacks in the conventional equation are pointed out. The analytical expressions for pulsewidth τ and pulse-intensity l0 are obtained by expanding the gain G(t) to second order of t only. The theoretical analyses are well consistent with experiments and can interpret some experimental phenomena which can not be explained by the second order solution of the original equation.
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