  In this paper, we investigate the optical properties of a charged black hole
with scalar hair (CSH) within the context of four-dimensional
Einstein-Maxwell-Dilaton gravity. To achieve this, we consider three distinct
toy models of thin accretion disks. The presence of dilaton coupling allows us
to express both the solutions of CSH and the Reissner-Nordstr\"om (RN) black
hole in terms of their mass ($M$) and charge ($Q$). Our findings reveal
differences in the effective potentials $V_{eff}$, photon sphere radii
$r_{ph}$, and innermost stable circular orbit $r_{isco}$ between the CSH and RN
black hole cases, which become increasingly pronounced as the charge parameter
$Q$ increases. However, no noticeable distinctions are observed concerning the
critical impact parameter $b_{ph}$. When the ratio of the photon ring band and
the lensed ring band exceeds 0.1, it may suggest the presence of a charged
black hole with scalar hair. Furthermore, our results underscore the
significant influence of the charge parameter $Q$ on the brightness
distributions of the direct, lensed ring, and photon ring for three standard
emission functions. These findings emphasize the potential for distinguishing
between CSH and RN black holes through an analysis of direct intensity and peak
brightness in specific accretion disk models.
