  We investigate the behavior of the deflection of light rays by charged and
rotating AdS black holes using the Gauss-Bonnet formalism. Taking weak field
approximations and certain appropriate limits associated with AdS geometries,
we compute and analyze such an optical quantity by varying the involved moduli
space parameters. First, we study the charge and the AdS radius effects on the
deflection angle of RN-AdS black holes. For small values of the impact
parameter $b$, we find that the charge effect is relevant. Precisely, it
decreases the deflection angle, while the AdS background one is not. For large
values of $b$, however, these optical behaviors have been inverted and the
deflection angle becomes an increasing function of the charge. In this way, the
cosmological constant effect is remarked to be relevant showing linear
variations of the deflection angle. Varying the charge, we find a critical
impact parameter value $b_{c}$ where the charge effect is inverted. For
rotating solutions, we show that the spinning parameter still decreases the
deflection angle without any changing behavior observed in the charge effect.
Evincing of the cosmological constant, we recover known results corresponding
to charged and rotating ordinary black hole solutions. Examining the plasma
effect, we reveal that the deflection angle keeps the same behavior being a
decreasing function in terms of the frequency ratio.
