Fresnel reflection with n2 > nị is used to create an imaging mirror. Using Fermat's principle, show that the optimum shape for a mirror that focuses the light from point source A onto point source B, the focal point is given by the equation: A |2d B E (y – h)? 1 x2 n2 h² + d? where the distance between A and B is 2d and h2 n1 where the curved surface intersects (0,0).

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Fresnel reflection with n2 > n is used
y
to create an imaging mirror. Using Fermat's
principle, show that the optimum shape for a mirror
that focuses the light from point source A onto
point source B, the focal point is given by the
equation:
A
12d
В
-h
(y – h)?
= 1
x?
n2
h? + d?
h2
where the distance between A and B is 2d and
N1
where the curved surface intersects (0,0).
Transcribed Image Text:Fresnel reflection with n2 > n is used y to create an imaging mirror. Using Fermat's principle, show that the optimum shape for a mirror that focuses the light from point source A onto point source B, the focal point is given by the equation: A 12d В -h (y – h)? = 1 x? n2 h? + d? h2 where the distance between A and B is 2d and N1 where the curved surface intersects (0,0).
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