Avendaño-Alejo Maximino, Román-Hernández Edwin, Castañeda Luis, Moreno-Oliva Victor Ivan
Appl Opt. 2017 Aug 1;56(22):6244-6254. doi: 10.1364/AO.56.006244.
We study the formation of caustic surfaces produced by conic lenses, considering a plane wavefront propagating parallel to the optical axis. The shape of the caustic can be modified by changing the parameters of the lens in such a way that if we are able to vanish the caustic, the optical system produces the sharpest diffraction-limited images. Alternatively, caustic surfaces with a large area can be applied to the design of non-imaging optical systems, with potential applications such as diffusers of light for illumination or solar concentrators. Here, we provide analytic equations for the conic constants, principal surfaces, and caustic surfaces, and also approximations at the third and fifth orders formed by conic lenses, in order to reduce the spherical aberration at these orders.
我们研究了由圆锥透镜产生的焦散面的形成，考虑了平行于光轴传播的平面波前。通过改变透镜的参数可以改变焦散的形状，这样如果我们能够消除焦散，光学系统就能产生最清晰的衍射极限图像。或者，大面积的焦散面可应用于非成像光学系统的设计，具有诸如照明用的光漫射器或太阳能聚光器等潜在应用。在这里，我们提供了圆锥常数、主面和焦散面的解析方程，以及圆锥透镜形成的三阶和五阶近似，以减少这些阶次的球差。
