FOUR-COMPONENT AFOCAL LENS SYSTEMS
Keywords:Zoom-afocal lens system, Parametric synthesis of zoom-afocal lens systems
Background. Parametric synthesis of zoom-afocal optical systems for zoom-lens. Algorithm for the overall calculation of the four-component zoom-afocal systems, which provides overall limitations, the desired range of variation of the angular magnification and the field of view of the zoom-lens, the permissible vignetting of the beam beams in the entire range of angular magnification. Synthesis of afocal systems for a stationary lens, the entrance pupil of which is located behind the afocal system.
Objective. Development of a universal analytical algorithm suitable for computer automation for calculating the optical and overall parameters of the components of four-component zoom-afocal systems.
Methods. The zoom-afocal system is represented by subtle components. A system of equations is compiled in which the distances between the components are unknown. From the equations, the values of these distances are recovered, which provide the necessary values of the angular magnification and zero optical power of the afocal system. In this case, the magnitudes of the optical powers of the components and their ratios should ensure positive values of the distances between them. Using the formulas of the angles and heights of the zero rays on the components of the system, taking into account the permissible vignetting of the beam of rays from the edge of the field of view, the required light diameters of the components are determined.
Results. Analytical dependences are obtained that allow one to determine the optical powers of the components and their relative position in the entire range of the desired change in angular magnification from the initial data. It is shown that the first component has the largest light diameter when the largest value of the angular increase in a given range is achieved.Conclusions. The results obtained make it possible to carry out in an analytical form a parametric synthesis of four-component zoom-afocal systems, taking into account the requirements for their dimensions, field of view, the range of variation of the angular increase and the permissible vignetting of the beam of rays from the edge of the field of view.
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