  Transit-time damping (TTD) is a process in which the magnetic mirror force --
induced by the parallel gradient of magnetic field strength -- interacts with
resonant plasma particles in a time-varying magnetic field, leading to the
collisionless damping of electromagnetic waves and the resulting energization
of those particles through the perpendicular component of the electric field,
$E_\perp$. In this study, we utilize the recently developed field-particle
correlation technique to analyze gyrokinetic simulation data. This method
enables the identification of the velocity-space structure of the TTD energy
transfer rate between waves and particles during the damping of plasma
turbulence. Our analysis reveals a unique bipolar pattern of energy transfer in
velocity space characteristic of TTD. By identifying this pattern, we provide
clear evidence of TTD's significant role in the damping of strong plasma
turbulence. Additionally, we compare the TTD signature with that of Landau
damping (LD). Although they both produce a bipolar pattern of phase-space
energy density loss and gain about the parallel resonant velocity of the
Alfv\'enic waves, they are mediated by different forces and exhibit different
behaviors as $v_\perp \to 0$. We also explore how the dominant damping
mechanism varies with ion plasma beta $\beta_i$, showing that TTD dominates
over LD for $\beta_i > 1$. This work deepens our understanding of the role of
TTD in the damping of weakly collisional plasma turbulence and paves the way to
seek the signature of TTD using \emph{in situ} spacecraft observations of
turbulence in space plasmas.
