Template:Sommerfeld radiation condition three dimensions: Difference between revisions
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In three-dimensions the [[Sommerfeld Radiation Condition]] is | In three-dimensions the [[Sommerfeld Radiation Condition]] is | ||
<center><math> | <center><math> | ||
\sqrt{|\mathbf{r}|}\left( \frac{\partial}{\partial|\mathbf{r}|} | \sqrt{|\mathbf{r}|}\left( \frac{\partial}{\partial|\mathbf{r}|} + \mathrm{i} k \right) | ||
(\phi-\phi^{\mathrm{{I}}})=0,\;\mathrm{{as\;}}|\mathbf{r}|\rightarrow\infty\mathrm{.} | (\phi-\phi^{\mathrm{{I}}})=0,\;\mathrm{{as\;}}|\mathbf{r}|\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 22:26, 29 April 2010
In three-dimensions the Sommerfeld Radiation Condition is
where [math]\displaystyle{ \phi^{\mathrm{{I}}} }[/math] is the incident potential.
