论文标题
反射球的成像
Imaging in Reflecting Spheres
论文作者
论文摘要
我们使用光射线场的腐蚀性研究了三种构型中反射球中图像的形成。通过光学系统，从源点到达受试者的源点出现的光波前是高斯表面的高斯表面，沿高斯表面的两个主要方向部分焦点。即，源点有两个图像，每个图像都有部分焦点。随着源点的移动，图像在两个表面上移动，称为\ emph {可见的表面}。在我们的系统中，一个可见的表面由具有径向焦点的点组成，另一个由具有方位焦点的点组成。我们研究的问题是（1）对平行光束的成像，（2）从球体外部观察到的无限成像，以及（3）通过与平面正常的径向线的相交点观察到的平面对象的成像。我们通过实验验证了两个图像的存在，并表明它们之间的距离与计算一致。
We study the formation of images in a reflective sphere in three configurations using caustics of the field of light rays. The optical wavefront emerging from a source point reaching a subject following passage through the optical system is, in general, a Gaussian surface with partial focus along the two principal directions of the Gaussian surface; i.e. there are two images of the source point, each with partial focus. As the source point moves, the images move on two surfaces, referred to as \emph{viewable surfaces}. In our systems, one viewable surface consists of points with radial focus and the other consists of points with azimuthal focus. The problems we study are (1) imaging of a parallel beam of light, (2) imaging of the infinite viewed from a location outside the sphere, and (3) imaging of a planar object viewed through the point of its intersection with the radial line normal to the plane. We verify the existence of two images experimentally and show that the distance between them agrees with the computations.
