  We derive the deflection angle of light rays passing near a black hole with
mass m and tidal charge q, confined to a generalized Randall-Sundrum brane with
codimension one. We employ the weak lensing approach, up to the second order in
perturbation theory by two distinct methods. First we adopt a Lagrangian
approach and derive the deflection angle from the analysis of the geodesic
equations. Then we adopt a Hamiltonian approach and we recover the same result
from the analysis of the eikonal. With this we re-establish the unicity of the
result as given by the two methods. Our results in turn implies a more rigurous
constraint on the tidal charge from Solar System measurements, then derived
before.
