We show that the random walk model due to Mark Kac which underlies the
telegraph equations may be modified to produce Maxwell's field equati
ons in 1 + 1 dimensions. This provides the field equations with a repr
esentation in terms of classical particles. It also establishes the Ka
c model as a strong conceptual link between the diffusion, telegraph,
and Maxwell equations, and suggests that recent simulations of the Sch
rodinger and Dirac equations are analogous to Maxwell's equation in te
rms of interpretation.