I am trying to plot the following function:(adsbygoogle = window.adsbygoogle || []).push({});

\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.

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# 2D surface density plot in Mathematica

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