We have experimentally investigated transport in two-dimensional balli
stic cavities connected to a point contact and to two superconducting
electrodes with a tunable macroscopic phase difference. The point cont
act resistance oscillates as a function of the phase difference in a w
ay which reflects the ballistic nature of the transport in the cavity.
We interpret our results in terms of a semiclassical model that relie
s on the properties of the phase conjugated trajectories on which a ho
le traces the path of the electron back to the emitting point contact.
This model provides quantitative predictions (with no fitting paramet
ers) as well as a clear physical picture.