Is it possible to create polar CountourPlot/ListCountourPlot/DensityPlot in Mathematica?
Previous snippets deleted, since this is clearly the best answer I came up with:
With[{eth = 2, er = 2, wc = 1, m = 4},
ContourPlot[
Re[BesselJ[(Sqrt[eth] m)/Sqrt[er], Sqrt[eth] r wc] Exp[I phi m]]/.
{r ->Norm[{x, y}], phi ->ArcTan[x, y]},
{x, -10, 10}, {y, -10, 10},
Contours -> 50, ContourLines -> False,
RegionFunction -> (#1^2 + #2^2 < 100 &),
ColorFunction -> "SunsetColors"
]
]
Edit
Replacing ContourPlot
by Plot3D
and removing the unsupported options you get:
How to shade a plot in Mathematica
Perhaps you are looking for RegionPlot
?
RegionPlot[(-1 + x)^2 + (-1 + y)^2 < 1 &&
x^2 + (-1 + y)^2 < 1 && (-1 + x)^2 + y^2 < 1 && x^2 + y^2 < 1,
{x, 0, 1}, {y, 0, 1}]
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