0.7–1.6$\times$10$^{-16}$ergs$^{-1}$cm$^{-2}$ (star formation ratesof SFR$_{\rm
  H\alpha}$=1–27M$_{\odot}$yr$^{-1}$) which lie within 30$''$ of bright (R$<$15) stars. We performed natural guide star adaptive optics (AO) observations with the SINFONI IFU between 2009 September and 2011 April in $\sim $0.6$''$ seeing and photometric conditions with exposure times between 3.6 to 13.4ks. At the three redshift slices of our targets, $z$=0.84\[2\], $z$=1.47\[6\] and $z$=2.23\[1\], the H$\alpha$ emission line is redshifted to $\sim
$1.21, 1.61 and 2.12$\mu$m (i.e. into the $J$, $H$ and $K$-bands respectively). The median strehl achieved for our observations is 20% and the median encircled energy within 0.1$''$ (the approximate spatial resolution of our observations) is 25%.

The data were reduced using the SINFONI [esorex]{} data reduction pipeline which extracts, flat-fields, wavelength calibrates and forms the data-cube for each exposure. The final (stacked) data-cube for each galaxy was generated by aligning the individual data-cubes and then combining them using an average with a 3-$\sigma$ clip to reject cosmic rays. For flux calibration, standard stars were observed each night either immediately before or after the science exposures and were reduced in an identical manner to the science observations.

As Fig. \[fig:2dmaps\] shows, all nine galaxies in our SINFONI-HiZELS survey (SHiZELS) display strong H$\alpha$ emission, 