  The conceptual design of a compact source of GeV-class muons is presented,
based on a plasma based electron-gamma collider. Evaluations of muon flux,
spectra and brilliance are presented, carried out with ad-hoc montecarlo
simulations of the electron-gamma collisions. These are analyzed in the context
of a large spread of the invariant mass in the e-gamma interaction, due to the
typical characteristics of plasma self-injected GeV electron beams, carrying
large bunch charges with huge energy spread. The availability of a compact
point-like muon source, triggerable at nsec level, may open a completely new
scenario in the muon radiography application field.
