  In this work, we investigate gravitational resonances in both single and
double mimetic thick branes, which can provide a new way to detect the extra
dimension. For the single brane model, we apply the relative probability
proposed in [Phys. Rev. D. 80 (2009) 065019]. For the double brane model, we
investigate the resonances quasi-localized on the double brane, on the
sub-branes and between the sub-branes, respectively. To investigate the
resonances quasi-localized on the double brane, we introduce two different
definitions of the relative probability and find that the corresponding mass
spectra of gravitational resonances are almost the same. For the gravitational
resonances quasi-localized on sub-branes and between the sub-branes, the
influence of the distance between the two sub-branes and the thickness of the
sub-branes are analyzed and new features are found in both cases.
