This paper presents a paraxial lens design method for anamorphic zoom lenses with double telecentricity. Four types of such lens systems are provided, which are the Y-X-Y-Y type, the Y-Y-Y-X type, the Y-X-Y-X type, and the Y-X-X-Y type. For each lens type, it can work in two different conditions: (a) the distance between the object and the image is fixed during anamorphic zooming, or (b) the magnifications in the tangential plane and the sagittal plane can be changed independently by changing the interval lens distances. For each condition, given the optical power of each lens component and the design parameters, such as the total length, the magnifications in the tangential plane and the sagittal plane, and the anamorphic ratio, formulas determining the interval distances between lens components, the object position, and the stop position are provided. Eight examples of double-telecentric anamorphic zoom lenses are provided, and all the examples are tested in Zemax, which shows the validity of the proposed design method.

中文翻译：

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具有可变放大倍率或固定共轭的双远心变形变焦镜头的近轴镜头设计。

本文提出了一种具有双远心度的变形变焦镜头的近轴镜头设计方法。提供了四种类型的这种透镜系统，它们是YXYY型，YYYX型，YXYX型和YXXY型。对于每种镜头类型，它可以在两种不同的条件下工作：（a）在变形变焦期间物体和图像之间的距离是固定的，或者（b）切向平面和矢状平面的放大倍率可以通过更改来独立地更改间隔镜头距离。对于每种情况，在给定每个透镜组件的光焦度和设计参数（例如总长度，切平面和矢状面的放大倍率以及变形比）的情况下，确定透镜组件，物体之间距离的公式位置，和停止位置。提供了八个双远心变形变焦镜头示例，并在Zemax中对所有示例进行了测试，从而证明了所提出设计方法的有效性。