FOUR-COMPONENT ZOOM-AFOCAL SYSTEMS ZOOM-TRANSFOCACATORS OF THREAD RANGE METERS

Abstract

The problem addressed in this research is the parametric synthesis of zoom-afocal optical systems for transfocusors used in measurement technology, specifically thread-type rangefinders. The research aims to develop a universal analytical algorithm that can be computerized for calculating the optical and dimensional parameters of four-component zoom-afocal lens systems for trans-focusors.The implementation methodology involves representing the zoom-afocal system as a sequence of thin components.Using a system of equations where the optical powers of the components and the distances between them are unknown, the values of these parameters are determined to achieve the desired range of angular magnification and zero optical power of the afocal system. The optical powers of the components and their ratios must ensure positive values for the distances between the components. The calculation of the light diameters of the components takes into account the permissible vignetting of the ray bundle from the field of view edge by determining the angles and heights of the zero rays on the system's components.The research results include analytical dependencies that enable the determination of component optical powers and their mutual arrangements throughout the entire range of angular magnification based on the input data. The research shows that the first component has the largest light diameter, which reaches its maximum value as the angular magnification approaches the maximum within the specified range.The obtained results allow for the parametric synthesis of four-component zoom-afocal systems in an analytical form, considering the dimensional requirements, range of angular magnification, and permissible vignetting of ray bundles from the field of view.