We use a discrete phenomenological model to find theoretically the dielectr
ic response of antiferroelectric liquid crystals in harmonic external elect
ric fields. We find an analytical expression for the dielectric loss in ter
ms of the eigenfrequencies of the phase and the amplitude mode. The tempera
ture dependence of the dielectric loss is presented for the SmC*(A), SmC*(a
lpha) and SmC* phases.