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Graphics and Visualization Wolfram Language

About extracting values in DensityPlot

Toufiq Hossain

Posted 5 years ago

Hello I have a notebook file in which the Electric field is calculated as follows jet[u_?NumericQ] := Blend[{{0, RGBColor[0, 0, 9/16]}, {1/9, Blue}, {23/63, Cyan}, {13/21, Yellow}, {47/63, Orange}, {55/63, Red}, {1, RGBColor[1/2, 0, 0]}}, u] /; 0 <= u <= 1 Etotal = Sum[ Gee.p /. Pd /. {x0 -> xd[[i]], y0 -> 0, z0 -> 0}, {i, 1, Nd}]; DensityPlot[Norm[Etotal] /. z -> 0, {x, -0.3, 0.3}, {y, 1, 1.5}, PlotPoints -> 150, ColorFunction -> jet, PlotRange -> Full, AspectRatio -> Automatic]` I want to get the values computed in Norm[Etotal] in the domain of z -> 0, {x, -0.3, 0.3}, {y, 1, 1.5} I need a table of the form x coordinate y coordinate Enorm x1 y1 Enorm1 x2 y2 Enorm2 and so on. Can anyone help?

Hello I have a notebook file in which the Electric field is calculated as follows

jet[u_?NumericQ] := 
 Blend[{{0, RGBColor[0, 0, 9/16]}, {1/9, Blue}, {23/63, Cyan}, {13/21,
      Yellow}, {47/63, Orange}, {55/63, Red}, {1, 
     RGBColor[1/2, 0, 0]}}, u] /; 0 <= u <= 1

Etotal = Sum[   Gee.p /. Pd /. {x0 -> xd[[i]], y0 -> 0, z0 -> 0}, {i, 1, Nd}];
DensityPlot[Norm[Etotal] /. z -> 0, {x, -0.3, 0.3}, {y, 1, 1.5},      PlotPoints -> 150, ColorFunction -> jet, PlotRange -> Full,      AspectRatio -> Automatic]`

I want to get the values computed in Norm[Etotal] in the domain of z -> 0, {x, -0.3, 0.3}, {y, 1, 1.5} I need a table of the form

x coordinate y coordinate Enorm x1 y1 Enorm1 x2 y2 Enorm2

and so on.

Can anyone help?

POSTED BY: Toufiq Hossain

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Rohit Namjoshi

Posted 5 years ago

Hi Toufiq, A table of values can be generated with whatever granularity is needed using z0[x_, y_] = Norm[Etotal] /. z -> 0; Table[{x, y, z0[x, y]}, {x, -0.3, 0.3, .1}, {y, 1, 1.5, .1}] To get the same granularity / sampling that was used by `DensityPlot` plot = DensityPlot[z0[x, y], {x, -0.3, 0.3}, {y, 1, 1.5}, PlotPoints -> 150, ColorFunction -> jet, PlotRange -> Full, AspectRatio -> Automatic] points = plot[[1, 1, 1]]; {First@#, Last@#, z0 @@ #} & /@ points

Hi Toufiq,

A table of values can be generated with whatever granularity is needed using

z0[x_, y_] = Norm[Etotal] /. z -> 0;
Table[{x, y, z0[x, y]}, {x, -0.3, 0.3, .1}, {y, 1, 1.5, .1}]

To get the same granularity / sampling that was used by DensityPlot

plot = DensityPlot[z0[x, y], {x, -0.3, 0.3}, {y, 1, 1.5},
  PlotPoints -> 150,
  ColorFunction -> jet,
  PlotRange -> Full,
  AspectRatio -> Automatic]

points = plot[[1, 1, 1]];
{First@#, Last@#, z0 @@ #} & /@ points

POSTED BY: Rohit Namjoshi

Toufiq Hossain

Posted 5 years ago

Hello Rohit, Thank you for your help. It solved my problem.

POSTED BY: Toufiq Hossain

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