Difference between revisions of "Dictionary:Eikonal equation"

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(&#x012B; k&#x014D;n&#x2019; &#x2202;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):  
 
(&#x012B; k&#x014D;n&#x2019; &#x2202;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>''<sup>2</sup>''=(''V''/''V''<sub>''R''</sub>)<sup>2</sup>=''n''<sup>2</sup>,</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 '' is the wave function. Valid only where the variation of properties is small within a wavelength, sometimes called the &#x2018;&#x2018;high-frequency condition.&#x2019;&#x2019;
+
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 &#x2018;&#x2018;high-frequency condition.&#x2019;&#x2019;

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 VR (analogous to comparing a velocity to the speed of light in vacuum):

Nabla.gif2Fgr.gif=(V/VR)2=n2,


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