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Explain how Snell’s law is used in designing lenses.

User Dichen
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Snell's law is used to design shapes of lenses. The lenses' shapes determine the path of the light rays. Based on shape of lenses, light may converge or diverge.

User Mustafa Aljaburi
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Snell law basically says that when a ray of light crosses the interface between two different medium (for instance, from air to water), it changes direction following this relationship:

n_1 sin \theta _1 = n_2 sin \theta _2
where n is the refraction index of the medium and
\theta the angle of the ray with respect to the perpendicular to the interface.

A lens is usually built with a precise curvature, such that all the rays of light coming from outside are refracted inside the lens into a single point, called focal point. The path that the rays of light follow when crossing the interface between the air and the lens is given exactly by the Snell law.
User Towry
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