  We aim to characterise the morphology and the physical parameters governing
the shock physics of the Herbig-Haro object HH99B. We have obtained
SINFONI-SPIFFI IFU spectroscopy between 1.10 and 2.45 um detecting more than
170 emission lines, Most of them come from ro-vibrational transitions of H_2
and [FeII]. All the brightest lines appear resolved in velocity. Intensity
ratios of ionic lines have been compared with predictions of NLTE models to
derive bi-dimensional maps of extinction and electron density, along with
estimates of temperature, fractional ionisation and atomic hydrogen post-shock
density. H_2 line intensities have been interpreted in the framework of
Boltzmann diagrams, from which we have derived maps of extinction and
temperature of the molecular gas. From the intensity maps of bright lines the
kinematical properties of the shock(s) at work in the region have been
delineated. Finally, from selected [FeII] lines, constraints on the spontaneous
emission coefficients of the 1.257, 1.321 and 1.644 um lines are provided. The
kinematical properties derived for the molecular gas substantially confirm
those published in Davis et al.(1999), while new information (e.g. v_shock ~115
km s^-1 is provided for the shock component responsible for the ionic emission.
We also provide an indirect measure of the H_2 breakdown speed (between 70 and
90 km s^-1) and compute the inclination angle with respect to the line of
sight. The map parameters, along with images of the observed line intensities,
will be used to put stringent constraints on up-to-date shock models.
