When in microwave sources, an open waveguide operating at frequencies close
to cutoff is used as a resonator, a number of modes with the same transver
se structure, but different axial distribution can be excited by an electro
n beam. The width of the resonance curves of these modes broadens as the nu
mber of axial variations grows. This leads to overlapping of these,curves a
t large axial indexes. As a result, phase locking of such modes may occur A
theory describing axial mode locking in gyrodevices is developed. The resu
lts of theoretical analysis are compared to a harmonic-multiplying, inverte
d gyrotwystron experiment [1], It is shown that such phase-locked operation
in a set of modes with overlapping resonance curves can significantly enla
rge the bandwidth of gyrodevices, Furthermore, this technique may be broadl
y applicable to other devices, which employ cavities with overlapping modes
.