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|} + \mathrm{i} k \right) |
(\phi-\phi^{\mathrm{{I}}})=0,\;\mathrm{{as\;}}|x|\rightarrow\infty\mathrm{.} | (\phi-\phi^{\mathrm{{I}}})=0,\;\mathrm{{as\;}}|x|\rightarrow\infty\mathrm{.} | ||
</math></center> | </math></center> | ||
where <math>\phi^{\mathrm{{I}}}</math> is the incident potential. | where <math>\phi^{\mathrm{{I}}}</math> is the incident potential. | ||
Revision as of 22:27, 29 April 2010
In two-dimensions the Sommerfeld Radiation Condition is
where [math]\displaystyle{ \phi^{\mathrm{{I}}} }[/math] is the incident potential.
