Difference between revisions of "Template:Sommerfeld radiation condition two dimensions for radiation"

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(Created page with 'In two-dimensions the Sommerfeld Radiation Condition is <center><math> \left( \frac{\partial}{\partial|x|}-k_0\right) (\phi)=0,\;\mathrm{{as\;}}|x|\rightarrow\infty\mathrm{…')
 
 
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<center><math>
 
<center><math>
 
\left(  \frac{\partial}{\partial|x|}-k_0\right)
 
\left(  \frac{\partial}{\partial|x|}-k_0\right)
(\phi)=0,\;\mathrm{{as\;}}|x|\rightarrow\infty\mathrm{.}
+
\phi=0,\;\mathrm{{as\;}}|x|\rightarrow\infty\mathrm{.}
 
</math></center>
 
</math></center>
where <math>\phi^{\mathrm{{I}}}</math> is the incident potential.
 

Latest revision as of 20:56, 10 February 2010

In two-dimensions the Sommerfeld Radiation Condition is

[math]\displaystyle{ \left( \frac{\partial}{\partial|x|}-k_0\right) \phi=0,\;\mathrm{{as\;}}|x|\rightarrow\infty\mathrm{.} }[/math]