Eikonal equation
id:
eikonal-equation-167-16056856
title:
Eikonal equation
text:
An eikonal equation 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 lies in an open subset of R n, n is a positive function, ∇ denotes the gradient, and | ⋅ | is the Euclidean norm. The function n is given and one seeks solutions u.
In the context of geometric optics, the function n is the refractive index of the medium. More generally,
brand slug:
wiki
category slug:
encyclopedia
description:
Non-linear partial differential equation encountered in problems of wave propagation
original url:
https://en.wikipedia.org/wiki/Eikonal_equation
date created:
2006-03-29T17:47:39Z
date modified:
2024-08-30T13:49:18Z
main entity:
{"identifier":"Q1303846","url":"https://www.wikidata.org/entity/Q1303846"}
image:
fields total:
13
integrity:
15