Fully Nonlinear PDEs in Real and Complex Geometry and Optics by Luca Capogna Pengfei Guan Cristian E. Gutiérrez & Annamaria Montanari

Author:Luca Capogna, Pengfei Guan, Cristian E. Gutiérrez & Annamaria Montanari
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

2 Snell’s Law of Refraction

2.1 In Vector Form

Suppose is a surface in that separates two media I and II that are homogeneous and isotropic. Let v 1 and v 2 be the velocities of propagation of light in the media I and II respectively. The index of refraction of the medium I is by definition n 1 = c ∕ v 1, where c is the velocity of propagation of light in the vacuum, and similarly n 2 = c ∕ v 2. If a ray of light1 having direction x ∈ S 2 and traveling through the medium I hits at the point P, then this ray is refracted in the direction m ∈ S 2 through the medium II according with the Snell law in vector form:

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