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Eikonal equation
Non-linear partial differential equation encountered in problems of wave propagation
Eikonal equation
An eikonal equation (from Greek εἰκών, image) is a non-linear first-order partial differential equation that is encountered in problems of wave propagation. The classical eikonal equation in geometric optics is a differential equation of the form where x {\displaystyle x} lies in an open subset of R n {\displaystyle \mathbb {R} ^{n}} , n ( x ) {\displaystyle n(x)} is a positive function, ∇ {\displaystyle \nabla } denotes the gradient, and | ⋅ | {\displaystyle |\cdot |} is the Euclidean norm. The function n {\displaystyle n} is given and one seeks solutions...
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