Difference between revisions of "Template:Incident potential for two dimensions"

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The incident potential is a wave of amplitude <math>A</math>
 
The incident potential is a wave of amplitude <math>A</math>
in displacement travelling in the positive <math>x</math>-direction. We would only see this in the time domain <math>\Phi(x,z,t)</math>.
+
in displacement travelling in the positive <math>x</math>-direction. We would only see this in the time domain <math>\Phi(x,z,t)</math> however, in the frequency domain the incident potential can therefore be written as
The incident potential can therefore be written as
 
 
<center>
 
<center>
 
<math>
 
<math>

Revision as of 03:45, 6 March 2012

Incident potential

The incident potential is a wave of amplitude [math]\displaystyle{ A }[/math] in displacement travelling in the positive [math]\displaystyle{ x }[/math]-direction. We would only see this in the time domain [math]\displaystyle{ \Phi(x,z,t) }[/math] however, in the frequency domain the incident potential can therefore be written as

[math]\displaystyle{ \phi^{\mathrm{I}}(x,z) =e^{-k_{0}x}\chi_{0}\left( z\right). }[/math]