I may be wrong but I think we're missing a 2pi factor in the process of isotropizing the spectra.
When isotropy is assumed, the azimuthal mean is indeed the isotropic spectra in terms of spectral slope but in order to satisfy Parseval's equality, I think the integration over the azimuthal direction should be taken and as such, I think iso_ps and iso_cs should be multiplied by 2pi.
I may be wrong but I think we're missing a
2pi
factor in the process of isotropizing the spectra. When isotropy is assumed, the azimuthal mean is indeed the isotropic spectra in terms of spectral slope but in order to satisfy Parseval's equality, I think the integration over the azimuthal direction should be taken and as such, I thinkiso_ps
andiso_cs
should be multiplied by 2pi.