How We are Extracting Ion Distributions from HENA Images Roelof, E.C., R. Demajistre, P. C:son Brandt, and D. G. Mitchell Linear, constrained inversion techniques are being applied to extracting energetic ion distributions from ENA images 10-60 keV from the IMAGE/HENA time-of-flight experiment. Inversions of HENA image sequences during the geomagnetic storms and substorms is presented in two papers at this conference by Mitchell et al. and C:son Brandt et al., while this poster describes and illustrates the details of the inversion techniques. The observational difficulty is that the ENA emission from low altitudes can easily be more than an order of magnitude brighter than that from high altitudes on the same field line. The source of this ENA emission is the charge exchange of energetic singly-charged ions with exospheric atoms at altitudes of ~300-400 km. It is here that the densities of atomic oxygen and helium (and perhaps di-atomic nitrogen) overwhelm the density of the geocoronal hydrogen that is the converter of ring current ions into ENAs at all higher altitudes. This bright low altitude emission is from too small a volume to be resolved by the HENA camera pixels ~6 deg x 6 deg and (to complicate matters further) the "point spread" function of the instruments causes the bright emission to "bloom" into adjacent pixels. The scattering of the incident ENAs in the HENA front foil produces a significant point-spread function that is energy dependent (with a standard deviation of 15 deg at 20 keV diminishing to 5 deg at 60 keV). However, we have been able to incorporate this instrument function into both the high and low altitude kernels, resulting in a completely self-consistent treatment of the inversion problem. When highly reliable inversions and confidence estimates are desired, the constraints are optimized. This is done by approximating the linearly inverted ion distributions with a 38-parameter non-linear analytic model function [Roelof and Skinner, Space Sci. Rev., 91, 437 ,2000] and using it to simulate the ENA image. The constraints are then fine tuned to optimize the extraction of the (known) model function from the simulated image. _______________ To be presented at the Magnetospheric Imaging Workshop, Yosemite National Park, California, U.S.A., Feb. 5-8, 2002.