We present a classical approach to free-electron lasers without invers
ion. The destructive interference of absorption in two sequential inte
raction regions (wigglers) results in absorption cancellation and stro
ngly enhanced gain. Appropriately designed magnetic fields between the
two interaction regions separate emitting and absorbing electrons and
adjust their oscillation phases in the two interaction regions accord
ing to their velocities. In this way the adverse effects of wide (inho
mogeneous) electron velocity spread are negated, and most of the inhom
ogeneous distribution contributes to emission rather than absorption.
This scheme does not require momentum bunching (population inversion)
to ensure highly efficient operation.