Abstract-A change in the effective permittivity of a ferroelectric film in the paraelectric phase under the action of a strong high-frequency field (nonequilibrium soft mode heating) is considered. It is shown that this effect must be most clearly pronounced far from the resonance (ω 0 << ω sm ), rather than for the external field frequency ω 0 close to the soft mode frequency ω sm . The effective permittivity as a function of the high-frequency field amplitude is determined using a phenomenological approach and within the framework of a microscopic theory based on a simple model of a displacement-type ferroelectric.The first attempts to use ferroelectrics in the paraelectric phase as nonlinear media at high frequencies were undertaken in the 1960s [1,2]. It was established that the main obstacle to such applications is related to high dielectric losses. In recent decades, these losses were reduced to a quite acceptable level, while the controllability (i.e., the dependence of the permittivity on the external electric field) was retained. This circumstance led to the revival of interest in paraelectrics. However, the development of thin-film nonlinear elements based on these compounds showed that their response to constant and alternating external fields can be substantially different [3]. In particular, the switching (changing capacitance) in ferroelectric capacitors by an external pulsed control field may proceed with anomalously large relaxation times reaching seconds and minutes at room temperature. This behavior makes the technical application of such nonlinear elements problematic.The aforementioned anomaly is most likely related to the slow relaxation of the charge appearing at the defects (traps) in the near-electrode regions under the action of a control voltage. The discharge of these regions can be accelerated-and, hence, the response speed of nonlinear elements increased-by irradiating a capacitor with light possessing a photon energy that is greater than the bandgap width [4]. Another method of eliminating this difficulty consists in using a high-frequency alternating electric field, rather than dc voltage (video pulses) as control signals. If the frequency of this field is close to that of a natural soft mode (10 11 −10 12 Hz) and the amplitude is sufficiently large, the phonon subsystem of the material will pass to a nonequilibrium state corresponding to soft-mode "overheating" and, hence, the permittivity ε will exhibit a rapid change [5].The present investigation was aimed at establishing frequencies of such an external signal, which would provide the most effective control over a nonlinear element at a minimum heating of the material by the highfrequency field. It should be noted that the direct (quasi-equilibrium) heating of the element by an external field also leads to a change in the permittivity and can be considered as a means of controlling the capacitance. However, the characteristic times of such thermal processes even in thin-film samples are several orders of magnitude greater than t...