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Methods to define circular off-axis aspheric mirrors

机译：定义圆形离轴非球面镜的方法

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We investigated the definition for circular off-axis aspheric mirrors (COAMs). The clear opening of the COAM obtained by projecting a circular aperture on the aspheric surface does not form a plane but a curved surface. To avoid ambiguity due to the non-planar opening, we propose to use a plane to cut the aspheric surface to obtain a COAM. The COAM has three characteristics: 1) an elliptical opening; 2) the major axis of the opening lies on the meridional plane containing the original optical axis of the aspheric surface, and the minor axis lies on the sagittal plane perpendicular to the meridian plane; and 3) it is not deepest at the center of the ellipse. The third characteristic suggests two methods for defining the COAM using a plane: 1) with the center of the elliptical opening as a reference and 2) with the deepest point of the mirror as a reference. All the formulas required to obtain the desired COAM using the two methods are presented.
机译：我们研究了圆形离轴非球面镜（COAM）的定义。通过在非球面表面上投影圆形孔而获得的COAM的清晰开口不会形成平面，而是弯曲的表面。为了避免由于非平面开口而造成的歧义，我们建议使用平面切割非球面以获得COAM。 COAM具有三个特征：1）椭圆形开口; 2）开口的长轴位于包含非球面原始光轴的子午平面上，短轴位于垂直于子午平面的矢状平面上; 3）它在椭圆的中心不是最深的。第三个特征建议了两种使用平面定义COAM的方法：1）以椭圆形开口的中心为参考，以及2）以镜的最深点为参考。给出了使用两种方法获得所需COAM所需的所有公式。

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