Flux coordinates: Difference between revisions

Line 313: Line 313:
which can be turned into an algebraic equation on the Fourier components of <math>G</math>
which can be turned into an algebraic equation on the Fourier components of <math>G</math>
:<math>
:<math>
   G_{nm} = \frac{-i}{\Psi_{pol}'n + \Psi_{tor}'m}\left(\frac{\sqrt{g_f}}{\sqrt{g_F}}\right)_{nm}~.
   G_{mn} = \frac{-i}{\Psi_{pol}'m + \Psi_{tor}'n}\left(\frac{\sqrt{g_f}}{\sqrt{g_F}}\right)_{mn}~.
</math>
</math>
where  
where  
:<math>
:<math>
  G(\psi, \theta_f, \phi_f) = \sum_{n,m} G_{nm}(\psi) e^{i(n\theta_f + m\phi_f)}
  G(\psi, \theta_f, \phi_f) = \sum_{m,n} G_{mn}(\psi) e^{i(m\theta_f + nphi_f)}
</math>
</math>
and <math>G_{00} = 0 </math>.
and <math>G_{00} = 0 </math>.
204

edits