Method to serve any paraxial pupil problems in zoom systems

Methods to solve paraxial pupil problems in zoom systems are not sufficiently developed up till now. A method intended to solve any paraxial pupil problems in different types of zoom systems is presented here. Among pupil problems such as the correction, stabilization, and required pupil location, stabilization is the most important. In the first stage of the method a zoom system is treated as a black box. Outside imaging parameters of this black box are determined by means of two-conjugate ray parameters. In the second stage of the method a zoom system is treated as a white box with the given number of thin components. Construction parameters of this white box, i.e. optical powers and spacings, are determined as those fulfilling the outside imaging parameters. In the third stage of the method components' kinematics is determined to keep both conjugations. The third moving component is called a pupil stabilizator, however, all moving components collaborate with each other to maintain the stabilization. To solve the non-linear system of equations the available standard mathematical software is used.