eikonal equation


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eikonal equation

[ī′kōn·əl i‚kwā·zhən]
(physics)
An equation for propagation of electromagnetic or acoustic waves in a nonhomogeneous medium; it is valid only when the variation of the properties of the medium is small over the distance of a wavelength.
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It consists of iteratively solving the Eikonal equation (Eq.
As explained by Sethian (1996), solving the Eikonal equation (Eq.
There are several ways of doing this, basically grouped into two methods: straight or curved ray theory (Cerveny, 2001) or numerically resolving the wave equation with some constraints, such us the eikonal equation (Vidale, 1988).
The eikonal equation in zero-space, expressed in his observable world-coordinates, is [K.