  We present high-contrast angular differential imaging (ADI) observations of
the debris disk around HD 32297 in H-band, as well as the first polarimetric
images for this system in polarized differential imaging (PDI) mode with
Subaru/HICIAO. In ADI, we detect the nearly edge-on disk at >5sigma levels from
~0.45 arcsec to ~1.7 arcsec (50-192 AU) from the star and recover the spine
deviation from the midplane already found in previous works. We also find for
the first time imaging and surface brightness (SB) indications for the presence
of a gapped structure on both sides of the disk at distances of ~0.75 arcsec
(NE side) and ~0.65 arcsec (SW side). Global forward-modelling work delivers a
best-fit model disk and well-fitting parameter intervals that essentially match
previous results, with high-forward scattering grains and a ring located at 110
AU. However, this single ring model cannot account for the gapped structure
seen in our SB profiles. We create simple double ring models and achieve a
satisfactory fit with two rings located at 60 and 95 AU, respectively,
low-forward scattering grains and very sharp inner slopes. In polarized light
we retrieve the disk extending from ~0.25-1.6 arcsec, although the central
region is quite noisy and high S/N are only found in the range ~0.75-1.2
arcsec. The disk is polarized in the azimuthal direction, as expected, and the
departure from the midplane is also clearly observed. Evidence for a gapped
scenario is not found in the PDI data. We obtain a linear polarization degree
of the grains that increases from ~10% at 0.55 arcsec to ~25% at 1.6 arcsec.
The maximum is found at scattering angles of ~90degrees, either from the main
components of the disk or from dust grains blown out to larger radii.
