光滑表面反射下图像破坏的精确计算和Ronchigrams
Exact computation of image disruption under reflection on a smooth surface and Ronchigrams
摘要：
我们使用几何光学和焦散接触定理，以一种精确的方式，研究的拓扑结构的变化所获得的反射在任意光滑表面上的对象的图像。由于我们用来计算图像的程序与用于模拟理想图案的程序完全相同，称为Ronchigrams，在用于测试镜子的Ronchi测试中，我们注意到，当光栅（称为Ronchi ruling）位于焦散位置时，通常在Ronchigrams中观察到的闭环条纹是由于条纹的中断，或者更准确地说，作为与统治带相对应的阴影的中断。为了说明我们的结果，我们假设反射表面是一个球面镜，我们考虑两种类型的对象：圆和线段。
英文摘要：
We use geometrical optics and the caustic-touching theorem to study, in an exact way, the change in the topology of the image of an object obtained by reflections on an arbitrary smooth surface. Since the procedure that we use to compute the image is exactly the same as that used to simulate the ideal patterns, referred to as Ronchigrams, in the Ronchi test used to test mirrors, we remark that the closed loop fringes commonly observed in the Ronchigrams when the grating, referred to as a Ronchi ruling, is located at the caustic place are due to a disruption of fringes, or, more correctly, as disruption of shadows corresponding to the ruling bands. To illustrate our results, we assume that the reflecting surface is a spherical mirror and we consider two kinds of objects: circles and line segments.
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