Template:Sommerfeld radiation condition three dimensions

From WikiWaves
Jump to: navigation, search

In three-dimensions the Sommerfeld Radiation Condition is

[math] \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{.} [/math]

where [math]\phi^{\mathrm{{I}}}[/math] is the incident potential.