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本文建立了一个不涉及具体光腔结构的双波长固体飞秒激光器模型，分析了群达弥散（GVD）、自相位调制（SPM）、交叉耦合、损耗调制和增益放大的动态平衡过程．从场算符的定义出发，导出了双波长飞秒激光器的量子锁模方程组，并且将该量子销模方程组化为经典锁模方程组．结果表明，该方程组和非线性薛定谔方程有着类似的结构，方程组存在稳定的脉冲解，因而从理论上证明了双波长飞秒激光器可以实现双波长同时锁模．
In this paper, a dual-wavelength solid-state femtosecond laser model that does not involve a specific cavity structure has been developed. The dynamic balance of GVD, SPM, cross-coupling, loss modulation and gain amplification has been analyzed. Based on the definition of field operator, the quantum mode-locking equations of dual-wavelength femtosecond laser are deduced, and the quantum-pin-mode equations are formulated into classical mode-locking equations. The results show that this equation has a similar structure to the nonlinear Schr (o) dinger equation and the stable impulsive solution exists in the system. Therefore, it is theoretically proved that dual-wavelength femtosecond laser can achieve dual-mode simultaneous mode-locking.