Second Harmonic Generation (SHG) is the process of doubling the natural frequency of any laser. Since the output of Nd-YAG lasers has a wavelength of , it is the aim of this research to produce an SHM diode pumped of this laser with a wavelength of . This work is done via manipulating a few equations to produce the best results for both circulating and keeping other input parameters constant such as reflectivity, and amplification factor, on other cavity engineering parameters. The results are compared with other experimental values, and they are in fair agreement within the chosen incident powers, ranging from one to sixteen milliwatts. Also, a tendency is performed to perform a modification for the reflectivity of the crystal end reflectivity, which is the theory-built proposal. But the fact is that for the [MgO: LiNbO3] crystal only (0.992) the reflectivity enhances the other parameters such as the round-trip transmission, the second harmonic time duration, and the second harmonic efficiency of the crystal.