I'm attempting to plot a Laguerre-Gaussian beam in Maple. I have u(r, theta, z)=f(r, theta, z). What do I need to do to it to make it plot properly? I've tried to equate it to something, but it claims it is not in parametric form. What does that even mean?
![{u}(r,\phi,z)=\frac{C^{LG}_{lp}}{w(z)}\left(\frac{r
\sqrt{2}}{w(z)}\right)^{|l|}\exp\left(-\frac{r^2}{w^2(z)}\right)L_p^{|l|}
\left(\frac{2r^2}{w^2(z)}\right)
\exp\left( i k \frac{r^2}{2 R(z)}\right)\exp(i l
\phi)\exp\left[-i(2p+|l|+1)\zeta(z)\right],](http://upload.wikimedia.org/math/1/1/f/11f99459c34d63b4de4269fa7e55c5b4.png)
Is the equation I have, although the values are all defined other than the r, phi, and z
