deletions | additions       diff --git a/Appendix.tex b/Appendix.tex  index b1c2c8f..27266a3 100644  --- a/Appendix.tex  +++ b/Appendix.tex 
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The voltage measured by the bdot probe is given by \[V_{measured}=N_{loop}A\frac{\partial\vec{B_{norm}}}{\partial t}\] where $N$ is the number of loops of a side of the bdot probe, $A$ is the area of a face of the probe,and $\frac{\partial\vec{B_{norm}}}{\partial t}$ is the change in magnetic field normal to a face of the probe.  The phase velocity is \[v_{Phase}=\frac{\omega}{k}\] where $\omega$ is the wave frequency and $k$ is the wave number.  It follows that the group velocity is \[v_{group}=\frac{d\omega}{dt}\]  The code that was used to make  the wave simulations is as follows\[MAKEWAVE.PRO follows  MAKEWAVE.PRO  function makewave, k, theta, B0, freq 
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end    FIND_INDEX.PRO  pro find_index 
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graph2=plot( z,k[*,1], colorline=100, /OVERPLOT, name='60 G')  graph3=plot( z,k[*,2], colorline=150, /OVERPLOT,name='80 G')  l = legend(TARGET=[GRAPH1,GRAPH2, GRAPH3])  end\]