Template:Sommerfeld radiation condition two dimensions - Revision history

Meylan at 22:27, 29 April 2010

2010-04-29T22:27:46Z

← Older revision		Revision as of 22:27, 29 April 2010
Line 1:		Line 1:
	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\|} + \mathrm{i} k \right)		\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.

Meylan at 22:27, 29 April 2010

2010-04-29T22:27:00Z

← Older revision		Revision as of 22:27, 29 April 2010
Line 1:		Line 1:
	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\|}~~-k_0~~\right)		\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.

Adi Kurniawan at 09:06, 13 April 2009

2009-04-13T09:06:20Z

← Older revision		Revision as of 09:06, 13 April 2009
Line 2:		Line 2:
	<center><math>		<center><math>
	\left( \frac{\partial}{\partial\|x\|}-k_0\right)		\left( \frac{\partial}{\partial\|x\|}-k_0\right)
	(\phi-\phi^{\mathrm{{In}}})=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{{In}}}</math> is the incident potential.		where <math>\phi^{\mathrm{{I}}}</math> is the incident potential.

Meylan at 08:52, 24 August 2008

2008-08-24T08:52:47Z

← Older revision		Revision as of 08:52, 24 August 2008
Line 4:		Line 4:
	(\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_0</math>~~		where <math>\phi^{\mathrm{{In}}}</math> is the incident potential.
	~~is the imaginary wave number~~.

Meylan at 08:46, 24 August 2008

2008-08-24T08:46:57Z

← Older revision		Revision as of 08:46, 24 August 2008
Line 4:		Line 4:
	(\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_0</math>
	is the wave number.		is the imaginary wave number.

Meylan at 07:37, 24 August 2008

2008-08-24T07:37:14Z

← Older revision		Revision as of 07:37, 24 August 2008
Line 1:		Line 1:
	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\|}-~~{i}k~~\right)		\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.

Meylan at 06:22, 24 August 2008

2008-08-24T06:22:01Z

New page

In two-dimensions the [[Sommerfeld Radiation Condition]] is
<center><math>
\left( \frac{\partial}{\partial|x|}-{i}k\right)
(\phi-\phi^{\mathrm{{In}}})=0,\;\mathrm{{as\;}}|x|\rightarrow\infty\mathrm{.}
</math></center>
where <math>\phi^{\mathrm{{In}}}</math> is the incident potential and <math>k</math>
is the wave number.