Modelling of the self sum-frequency-mixing laser

A theoretical model of the self sum-frequency-mixing (SFM) laser generated by a single crystal is proposed, in which spatial distribution of the pump and circulating fundamental lasers with arbitrary beam waists are taken int o account. The model is then applied to two kinds of crystals of current in terest, Nd:YAl3(BO3)(4) and Nd:Ca4GdO(BO3)(3). Numerical analyses of the se lf-SFM laser properties predict and confirm some experimental results. The model proposed is not limited to self-SFM lasers and may be applied to gene ral analyses of the fundamental or nonlinear laser generation with Gaussian beams.