Re: Ray inside a cone.

pierre.bornsztein@xxxxxxxxx wrote:

''A ray of light is issued from a point interior to a given cone. All
the internal surface of this cone can reflect the light.
Prove that after a finite number of reflections, the ray will never
meet the cone again.''

For a cone r = tan(al) let us say a ray originates on cone at P1
(r1,th1) and strikes it at P2 (r2,th2) and again after second
reflection strikes at P3 (r3,th3). Let us express P3 as a function of
P1 and P2.That way we could get result for cone and also later handle
any surface of revolution to find emergent ray caustics etc.

Narasimham

.

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