In this paper, we present the evaluation of a predesign of a zoom system based on a variable-focal-power lens by paraxial and aberration analyses only. This zoom system involves less mechanics and has a more compact design than those using a fixed-power lens. We derive corresponding formulas between the focal power of each lens and the magnification of the zoom system, and the bendings of the variable-focal-power lens elements are determined by introducing primary spherical aberrations. The calculation of the paraxial properties of zoom systems involves finding the solution of sets of simultaneous equations. Examples of the procedure are shown by applying it to previously designed three-element zoom systems. The results of this study are valuable in the design of future zoom systems.

在本文中，我们仅通过近轴和像差分析来评估基于可变焦距镜头的变焦系统的预设计评估。与使用定焦镜头的变焦系统相比，此变焦系统的机械消耗更少，并且设计更紧凑。我们推导出每个透镜的焦度与变焦系统的放大倍率之间的对应公式，并通过引入主要球差来确定可变焦距透镜元件的弯曲。缩放系统近轴特性的计算涉及找到联立方程组的解。通过将其应用于先前设计的三元素缩放系统来显示该过程的示例。这项研究的结果在未来的变焦系统设计中非常有价值。