Calculation parameters of an objective consisting of three simple lenses.

A theoretical analysis of properties of an objective composed of three thin lenses is described in this paper. The formulas for the calculation of parameters of the three-lens objective are derived and the procedure for calculation of the shape of individual lenses of the objective is described using the third-order aberration theory. The application of the described analysis is presented in an example of the design of the three-lens objective.

Determination of the refractive index and Abbe number of glass of spherical lenses.

The paper deals with the problem of determination of basic parameters of unknown spherical lenses, namely their radii of curvature, thicknesses, and refractive indices of materials, for example, optical glasses, from which these lenses are made. Four methods are proposed to obtain these parameters and mathematical relations are derived that allow us to determine the refractive index and Abbe number of lens material based on the measured radius values, the thickness, and the position of the focal point or the focal length.