A novel method is proposed for the efficient conversion of intermediat
e energy negative muons into a low-energy muon beam. It is based on us
ing an electric field to eject muons from a moderator consisting of a
large number of thin carbon foils placed perpendicularly to the axis o
f a high-field solenoid. High-energy muons are made to slow down withi
n the moderator to an energy where further slowing down is inhibited b
y the electric field acceleration between the foils. The muons accumul
ate at low energy within the moderator hopping from one foil to the ne
xt until they come out as a low-energy muon beam. The resulting phase
compression factor exceeds 1000. Efficient initial injection of the mu
ons into the moderator is obtained either by letting the muons enter i
t in a direction opposite to the acceleration force or by producing th
e muons within a magnetic trap containing the moderator. A practical c
onfiguration based on the second scheme is presented. By implementing
the method into the most intense muon production configurations a new
pathway is opened that may ultimately compete with other schemes in th
e selection of the optimal source for high-energy muon colliders.