Deep VLA observations of the cluster 1RXS J0603.3+4214 in the frequency
  range 1-2 GHz
  We report L-band VLA observations of 1RXS J0603.3+4214, a cluster that hosts
a bright radio relic, known as the Toothbrush, and an elongated giant radio
halo. These new observations allow us to study the surface brightness
distribution down to one arcsec resolution with very high sensitivity. Our
images provide an unprecedented detailed view of the Toothbrush, revealing
enigmatic filamentary structures. To study the spectral index distribution, we
complement our analysis with published LOFAR and GMRT observations. The bright
`brush' of the Toothbrush shows a prominent narrow ridge to its north with a
sharp outer edge. The spectral index at the ridge is in the range
$-0.70\leq\alpha\leq-0.80$. We suggest that the ridge is caused by projection
along the line of sight. With a simple toy model for the smallest region of the
ridge, we conclude that the magnetic field is below $5\,\rm\mu G$ and varies
significantly across the shock front. Our model indicates that the actual Mach
number is higher than that obtained from the injection index and agrees well
with the one derived from the overall spectrum, namely ${\cal
M}=3.78^{+0.3}_{-0.2}$. The radio halo shows an average spectral index of
$\alpha=-1.16\pm0.05$ and a slight gradient from north to south. The
southernmost part of the halo is steeper and possibly related to a shock front.
Excluding the southernmost part, the halo morphology agrees very well with the
X-ray morphology. A power-law correlation is found between the radio and X-ray
surface brightness
