  We produce lensing potential and deflection-angle maps in order to simulate
CMB weak-lensing via ray-tracing through the COupled Dark Energy Cosmological
Simulations (CoDECS). The constructed maps reflect the N-body cosmic structures
on a range of scales going from the arcminute to the degree scale. We
investigate the variation of the lensing pattern due to the DE dynamics,
characterised by different background and perturbation behaviours as a
consequence of the interaction between the DE field and CDM. We study the
results from three models differing in the background and perturbations
evolution, with the purpose to isolate their imprints in the lensing
observables. The scenarios investigated include a reference LCDM cosmology, a
standard coupled DE (cDE) scenario, and a "bouncing" cDE scenario. For the
standard cDE scenario, we find that differences in the lensing potential result
from two effects: the enhanced growth of linear CDM density fluctuations with
respect to the LCDM case, and the modified nonlinear dynamics of collapsed
structures induced by the DE-CDM interaction. As a consequence, CMB lensing
highlights the DE impact in the cosmological expansion, even in the degenerate
case where the amplitude of the linear matter density perturbations,
parametrised through sigma_8, is the same in both the standard cDE and LCDM
cosmologies. For the bouncing scenario, we find that the two opposite
behaviours of the lens density contrast and of the matter abundance lead to a
counter-intuitive effect, making the power of the lensing signal lower by 10%
than in the LCDM scenario. Moreover, we compare the behaviour of CDM and
baryons in CoDECS separately, in order to isolate effects coming from the
coupling with the DE component. We find that, in the bouncing scenario, baryons
show an opposite trend with respect to CDM, due to the coupling of the latter
with the DE component. [abridged]
