3-D Model for Intra-Cavity Frequency Doubled ${\rm Nd{:}YVO}_{4}/{\rm MgO{:}PPLN}$ Green Lasers

A 3-D numerical model is developed for a continuous wave, intra-cavity frequency doubled ${\rm Nd{:}YVO}_{4}/{\rm MgO{:}PPLN}$ green laser. A fast Fourier transform beam propagation method is employed to solve the 3-D coupled-wave equations in the laser cavity. Both analytical solution and experimental results are made to validate the 3-D numerical model. By employing the developed numerical model, key material and device parameters that affect the device performance, such as nonlinear crystal length and loss, pump beam spot size and cavity length are investigated.