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  1.   1.  C2 apodization on xpol

1.  C2 apodization on xpol

  • using C2 apodization from NaMaster package
  • Nside=128, fwhmdeg = 0.5 + pixwin, r=0.001, fsky=0.7 (planck/Litebird-like mask)
  • Apodizations are {$ \theta^* = [0.6, 0.8, 1.0, 2.0, 3.0, 4.0, 5.0, 7.0, 10.0] $} from red to blue.
{$ \theta^* = 0.6 $}{$ \theta^* = 5.0 $}{$ \theta^* = 10.0 $}
 0.0 muK.arcmin50.0 muK.arcmin
spectum mean
spectum residues {$ R_\ell = (\hat C_\ell - C_\ell)/(\sqrt{\sigma^2(C_\ell)/ n_{simu} } ) $}
{$\sigma(C_\ell^{\theta^*})/\sigma(C^{\theta^*=0.6}_\ell) $}
{$\sigma(D_\ell^{\theta^*}) $}
special case sigma cl : apo = [0.6, 7.0, 10.0] = [blue, red, green]
  • observations :
    • no bias, as small as can be the apodization lenght ({$ \theta^*=0.6 $} ). Lower apodization lenght break NaMaster routines.
    • high apodization lenght usefull for BB variance with low noise only.