## Abstract

We present a dynamic model of simultaneous passive coherent beam combining and passive mode locking for coupled fiber lasers. The presence of a saturable absorber in the composite cavity results in the generation of packets of mode locked pulse trains. Within each packet the repetition rate of the pulses is determined by the length difference between the fibers.

© 2012 OSA

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### Equations (3)

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(1)
$$\frac{\partial {E}_{j}}{\partial z}=\frac{1}{2}({g}_{j}-\alpha ){E}_{j}-{\beta}_{1}\frac{\partial {E}_{j}}{\partial t}+\frac{1}{2}(b-i{\beta}_{2})\frac{{\partial}^{2}{E}_{j}}{\partial {t}^{2}}+i\gamma {\left|{E}_{j}\right|}^{2}{E}_{j},$$
(2)
$$g=\frac{{g}_{0}}{1+\frac{{\displaystyle {\int}_{0}^{T}{\left|E\right|}^{2}dt}}{T{P}_{sat}}},$$
(3)
$${\alpha}_{SA}=\frac{{\alpha}_{0}}{1+\frac{{\left|E\right|}^{2}}{{P}_{SA}}},$$