  In this paper the secure performance for the visible light communication
(VLC) system with multiple eavesdroppers is studied. By considering the
practical amplitude constraint instead of an average power constraint in the
VLC system, the closed-form expressions for the upper and the lower bounds of
the secrecy outage probability and the average secrecy capacity are derived.
Since the locations for both legitimate receiver and eavesdroppers are unknown
as well as random, the stochastic geometry method is introduced for problem
formulation. Moreover, accurate expressions with a low computational complexity
are obtained with the rigorous derivation. Simulation results verify the
correctness of our theoretical analysis.
