Amplification in free-electron lasers exploiting media with periodical
ly modulated refractive indices is studied in the regime of a large mo
dulation. The conditions for realization of the large-modulation regim
e in a superlattice-like medium are established. The maximized gain, t
he corresponding saturation field and efficiency, as well as the optim
al electron energy and propagation direction are determined. It is sho
wn that the large-modulation regime makes it possible to extend signif
icantly the operation frequency domain of the FEL employing a low-rela
tivistic electron beam. Relationship with the Cherenkov and stimulated
resonance-transition-radiation FELs is discussed. This research is pa
rtially supported by RFBR grant 97-02-17783. (C) 1998 Optical Society
of America.