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What is Coffee Cup Caustics Explained about?

The document summarizes the mathematical derivation of the shape of the bright region (caustic) formed on the inside of a coffee cup when light rays hit the curved surface and are reflected. It defines a caustic as an envelope of reflected or refracted light rays. It sets up and solves the system of equations describing the curve that intersects and is tangent to the family of reflected light rays. The solution finds the parametric equations for the coffee cup caustic as x(θ) = sin(2θ)sin(θ) + 1/2cos(2θ)cos

Author

Sergey Liflandsky

Language

EN