# Difference between revisions of "Dictionary:Eikonal equation"

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(ī kōn’ ∂l) A form of the wave equation for harmonic waves in which the local velocity ''V'' is compared to a reference velocity ''V''<sub>''R''</sub> (analogous to comparing a velocity to the speed of light in vacuum): | (ī kōn’ ∂l) A form of the wave equation for harmonic waves in which the local velocity ''V'' is compared to a reference velocity ''V''<sub>''R''</sub> (analogous to comparing a velocity to the speed of light in vacuum): | ||

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+ | <center><math>\nabla^2\phi=\left(\frac{V}{V_R}\right)^2=n^2 </math>,</center> | ||

## Revision as of 14:25, 27 February 2015

(ī kōn’ ∂l) A form of the wave equation for harmonic waves in which the local velocity *V* is compared to a reference velocity *V*_{R} (analogous to comparing a velocity to the speed of light in vacuum):

where *n* is an index of refraction and is the wave function. Valid only where the variation of properties is small within a wavelength, sometimes called the ‘‘high-frequency condition.’’