Question

In Optics, Fermat’s Principle states that when crossing a boundary where the refactive index changes, light will take the route of minimum travel time as seen on the figure below. By considering a ray of light travelling from a medium with refractive index 1 to another refractive index 2 , prove that Fermat’s Principle implies sin 1/sin 2 = 2/1, where the 1 and 2 are the angles that the light make with the normal. (hint: you might need a trigonometry and application to derivative to solve it.)

Answer 1

Answer:

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