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2D surface density plot in Mathematica

  1. Mar 24, 2012 #1
    I am trying to plot the following function:

    \sigma(r, \phi) = \frac{3r^2}{\sqrt{1 - r^2}} e^{i(2 \phi - \omega t)}

    where \sigma is a surface density, r is radius, and \phi is azimuthal angle.

    It is supposed to yield a "bar shape" for a galactic disk, but I'm not sure how to go about plotting it. It seems like all two-variable Mathematica plots yield 3D images, but I need a 2D image. The function also has a time variable, which I have been ignoring.
     
  2. jcsd
  3. Mar 24, 2012 #2
    Possibly using a PolarPlot would be somewhere to start?
     
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