Fermat's principle for refraction at spherical boundary
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Explanation:
Fermat’s principle states that “light travels between two points along the path
that requires the least time, as compared to other nearby paths.” From Fermat’s
principle, one can derive (a) the law of reflection [the angle of incidence is equal
to the angle of reflection] and (b) the law of refraction [Snell’s law]. This is
problem 32-81 on page 864 of Giancoli. The derivations are given below.
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