Mass Reconstruction using Particle Based Lensing II: Quantifying
  substructure with Strong+Weak lensing and X-rays
  We report a mass reconstruction of A1689 using Particle Based Lensing (PBL),
a new technique for Strong+Weak lensing that allows a variable resolution
depending on the data density and the signal-to-noise. Using PBL we also
calculate the covariance matrix for the resulting mass map. The reconstruction
of A1689 shows a secondary mass peak in the north-east direction confirming
previous optical observations. This indicates that the central region of the
cluster is still undergoing a weak merger. We have used this mass map to
measure power ratios of the dark matter distribution and compared it to the
X-ray distribution. We find that the power in the X-ray distribution is lower
suggesting a smoother and rounder gas distribution compared to the dark matter
distribution. We fitted an NFW profile to the profile derived from the mass map
and we find that the lensing mass within 1 Mpc is $1.5\pm0.33\times
10^{15}M_\odot$. This is higher than the X-ray mass.
