  The Disk Loaded Waveguide (DLW) is the mostly used high frequency structure
for acceleration of lightweight particles - electrons in the high energy range.
In some physical experiments acceleration of more heavy particles - muons to
medium energies is required. DLW parameters are considered for particle
velocity 0.04 < \beta < 1 both for the fundamental and the nearest backward
spatial harmonics. Physical and technical restrictions for DLW application in
the low \beta range and lower frequency (the L-band range) are analyzed. Basing
on particularities of acceleration with Traveling Wave (TW) mode, deep
optimization of DLW cells dimensions, the choice of optimal operating phase
advance for DLW section and combination of forward and backward TW modes, it is
possible to create simple, cost effective acceleration system for acceleration
in the velocity range 0.2 < \beta < 1 for intermediate particles, in some
parameters overcoming accelerating system with RF cavities in Standing Wave
(SW) mode. Design criteria are discussed and examples of possible accelerating
systems are presented.
