This work exhibits analytical reformulation of four equations of finite raytracing through quadric surfaces of revolution. This reformulation enhances comprehending the procedure of finite raytracing firmly besides it shows how to obtain these formulas. The equations reformulated in this work clarified that the corresponding ones in [1] were merely typographically incomplete equations.
Nonlinear optics is a branch of optics that explains the nonlinear response of atoms and molecules to a field of light radiation. There is a difficulty in cutting crystals in shapes commensurate with their optical properties, and thus it was significant to determine the descriptive shape of crystal properties based on its optic properties to be ideal in use. The problem of determining the length of the crystal to give the best output power is still under study and research and is one of the most important topics. In our research, a computational method based on mathematical relationships was used to estimate the length of the BBO crystal of I-type, which gives the best output power, by manipulating the location of the optical light scattering to be in the middle of the crystal. It was found that the best length of a crystal with a width of 3mm and a height of 3mm is 7mm. the comparison of these results with the previous literatures gave a great match, which confirms the correctness of the computations and the reliability of used method.
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