# 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): | ||

− | <center> | + | <center>[[File:Nabla.gif]]<sup>2</sup>[[File:Fgr.gif]]=(''V''/''V''<sub>''R''</sub>)<sup>2</sup>=''n''<sup>2</sup>,</center> |

− | where ''n'' is an index of refraction and | + | where ''n'' is an index of refraction and [[File:Fgr.gif]] is the wave function. Valid only where the variation of properties is small within a wavelength, sometimes called the ‘‘high-frequency condition.’’ |

## Revision as of 11:54, 18 January 2012

(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):

^{2}=(

*V*/

*V*

_{R})

^{2}=

*n*

^{2},

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.’’