The operation of a free-electron laser with a combined Bragg mirror resonat
or is studied theoretically. The resonator comprises a pair of planar Bragg
reflectors with a two- and a one-dimensional relief pattern, respectively,
and is closed in the transverse direction so as to ensure unidirectional o
utcoupling. It is demonstrated that this design provides for a possibility
of obtaining spatially coherent radiation from a sheet electron stream with
the cross size exceeding the wavelength by several orders of magnitude. (C
) 2000 MAIK "Nauka/Interperiodica".