Question: When light waves traveling in a transparent medium strike the surface of a second transparent medium, they tend to bend in order to follow the

When light waves traveling in a transparent medium strike the surface of a second transparent medium, they tend to “bend” in order to follow the path of minimum time. This tendency is called refraction and is described by Snell’s Law of Refraction,

sin 0 V sin 0 V2

where θ₁, and θ₂ are the magnitudes of the angles shown in the figure, and v₁ and v₂ are the velocities of light in the two media. Use Lagrange multipliers to derive this law using x + y = a.

sin 0 V sin 0 V2

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