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Question

What ensures that a convex lens can focus light from a plane wave into a single point?

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Explanation

**Huygens principle** predicts shape of wavefront after propagation, for point source close spherical, far plane, after reflection from plane mirror spherical wave becomes spherical with centre mirrored, plane wave remains plane but direction changes angle of incidence equals reflection, after passing through thin prism plane wavefront tilts due to different path. The lens delays the central part of the plane wave more than the edges due to its thickness, transforming it into a spherical wavefront converging at the focus. Using Δ = d sinθ, y = n λ D/d, a sinθ = n λ, I = I₀ cos²θ, n = c/v, sinC = 1/n, λ'

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