Difference between revisions of "Template:Sommerfeld radiation condition two dimensions"
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In two-dimensions the [[Sommerfeld Radiation Condition]] is | In two-dimensions the [[Sommerfeld Radiation Condition]] is | ||
<center><math> | <center><math> | ||
| − | \left( \frac{\partial}{\partial|x|}- | + | \left( \frac{\partial}{\partial|x|}-k_0\right) |
(\phi-\phi^{\mathrm{{In}}})=0,\;\mathrm{{as\;}}|x|\rightarrow\infty\mathrm{.} | (\phi-\phi^{\mathrm{{In}}})=0,\;\mathrm{{as\;}}|x|\rightarrow\infty\mathrm{.} | ||
</math></center> | </math></center> | ||
where <math>\phi^{\mathrm{{In}}}</math> is the incident potential and <math>k</math> | where <math>\phi^{\mathrm{{In}}}</math> is the incident potential and <math>k</math> | ||
is the wave number. | is the wave number. | ||
Revision as of 07:37, 24 August 2008
In two-dimensions the Sommerfeld Radiation Condition is
where [math]\displaystyle{ \phi^{\mathrm{{In}}} }[/math] is the incident potential and [math]\displaystyle{ k }[/math] is the wave number.
