caustic

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We plot the original ellipse (in green or inner ellipse), its orthotomic curve (in blue or outer ellipse), and its caustic curve, can be shown to be the curve shown in red (or in the center of the inner ellipse), together in Figure 9.
3](r, [Theta]) in Eq 2 and Eq 3, the caustic curve can be obtained.
We use the following example to demonstrate that a caustic surface is a natural extension from its caustic curve in 2-D.
In figure 14 we see the caustic curve when the light source is at the circumference of the cylinder, and when the light source moves closer into the center.