The aim of the present work is to determine the reflected light rays, wavefronts, caustic and the ronchigram associated with the reflection phenomenon of a plane wave on a parabolic mirror, in particular on the parabolic antenna of the Large Millimeter Telescope (LMT/GTM). The results presented here are general in the sense that the incident plane wavefront has an arbitrary direction , determined by the angles α and β. We present numerical results for two different cases: () and (). From these results we find that in general the caustic is a surface with a stable singularity of a hyperbolic umbilic type. For these cases we compute the distribution of the reflected light rays at some representative planes, determined by the form and dimensions of the caustic, then assuming that the ronchigrating is placed at those representative planes we compute the associated ronchigram. These results are important because they could describe the behavior of the light emitted by a static pointlike source located far away in the Universe.

本工作的目的是确定与平面波在抛物面镜上，特别是在大毫米望远镜（LMT / GTM）的抛物面天线上的平面波的反射现象相关的反射光线，波阵面，苛性碱和能谱图。从入射平面波阵面具有任意方向（由角度α和β决定）的意义上，此处给出的结果是一般性的。我们提供了两种不同情况的数值结果：（）和（）。从这些结果中，我们发现苛性碱是具有双曲脐型稳定奇异性的表面。对于这些情况，我们计算反射光在某些代表性平面上的分布，该平面由苛性碱的形式和尺寸决定，然后假设支气管造影放置在那些代表性平面上，我们将计算相关的支气管造影图。这些结果很重要，因为它们可以描述位于遥远宇宙中的静态点状光源发出的光的行为。