  We theoretically investigate the tomographic reconstruction of the
three-dimensional photonic environment of nanoparticles. As input for our
reconstruction we use electron energy loss spectroscopy (EELS) maps for
different rotation angles. We perform the tomographic reconstruction of surface
polariton fields for smooth and rough nanorods, and compare the reconstructed
and simulated photonic local density of states, which are shown to be in very
good agreement. Using these results, we critically examine the potential of our
tomography scheme, and discuss limitations and directions for future
developments.
