New method for automatic optimization of glass combination in optical systems working in the visible range

The algorithm presented in this paper proposes a way to find the optimum glasses that assure a better correction for optical apparatus with the human eye as a final receiver. The model (Ne, v1, v2), based on the Buchdahl formula, gives an approximation error for the refraction index less than 5(DOT)10-5 for visible domain. We introduced in the merit function used for optimizing the optical system an operand that describes the existence of an optical glass. This operand was defined so that the obtained value for Ne, v1 and v2 can be closed to some values for a real glass. A definition for this operand is obtained using the PNe, Pv1, Pv2, probabilities of existence for a glass with a certain parameter Ne, v1 or v2. Another possibility to define this operand is to describe the volume occupied by the optical glass in (Ne, v1, v2) space with some elliptical functions. The probabilities and the elliptical functions were found after an analysis for all optical glasses listed in the Schott catalogues was made.