  The dynamical response of a relativistic bunch of electrons injected in a
planar magnetic undulator and interacting with a counterpropagating
electromagnetic wave is studied. We demonstrate a resonance condition for which
the free electron laser (FEL) dynamics is strongly influenced by the presence
of the external field. It opens up the possibility of control of short
wavelength FEL emission characteristics by changing the parameters of the
microwave field without requiring change in the undulator's geometry or
configuration. Numerical examples, assuming realistic parameter values
analogous to those of the TTF-FEL, currently under development at DESY, are
given for possible control of the amplitude or the polarization of the emitted
radiation.
