Abstract

Assuming the intracavity photon number densities and initial population-inversion density are Gaussian distributions, the rate equations of the actively $Q$-switched dual-wavelength Raman laser based on one Raman mode are deduced. Under the condition that the wavelength separation of the two Raman lasers is very small, these space-dependent rate equations are normalized and solved numerically. A set of universal theoretical curves describing the operations of the dual-wavelength Raman laser is obtained. The influence of the composite normalization variables on the performances of the dual-wavelength Raman laser is analyzed. The normalization theory is verified with experimental data. The experimental results are consistent with the numerical ones, which proves that the proposed rate equations are correct and feasible.

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