Proceedings PaperParaxial determination of the general four-component zoom system with mechanical compensation
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To determine paraxial properties of the general four-component zoom system with mechanical compensation we must have the methods to obtain the optical power distribution and test and evaluate kinematics. There are two important approaches to general conception of a four- component zoom system. The first refers to the expansion of the method for three types of zoom systems. According to the location of an object and image in relation to a zoom system, we distinguish the following zoom systems: variable focal lenses, projection or reproduction systems, and afocal attachments. The second refers to the expansion of kinematic possibilities of all zoom components and even an object plane. Research led to the conclusion that knowing the marginal positions and extreme values of the main useful parameters connected with them is quite sufficient to obtain the optical power distribution of the individual components. Changing the input data we may minimize the longitudinal dimension of the zoom system. Sort of a zoom system is determined by paraxial aperture coordinates at the edges of a zoom system. The first optical power is calculated from the equation being four degrees of polynomial. We have four solutions of this equation and have four propositions of the optical power distributions in a four-component zoom system. All remaining optical powers in the four-component zoom system are expressed by the first optical power. Calculation of optical powers in this way means that the zoom system is good only in both marginal positions. Research led to the statement that, optical conjugate and fixed image location are determined from a quadratic equation. To verify kinematics of the zoom system it is necessary to determine the variation of the main useful parameter and, if required, variation of movements of the first and fourth component. After kinematic calculations we should first test whether the travel from start to the final position is smooth. Later we evaluate kinematics and, if possible, correct it by mentioned changes or even by modification of marginal positions.