The ac small-signal impedance ofelectro-acoustically active semiconductors is calculated. Essential for the ac description presented is the introduction of potential troughs that are coupled to the amplified acoustic waves. The calculated impedance shows a frequency dependent behaviour and resonances which are in good agreement with experimental results for CdS.1. Introduction. For many years now continuous interest has been shown in the electro-acoustic effect, i.e. the amplification of travelling acoustic waves through interaction with supersonic drifting charge carriers in piezo-electric semiconductors.As a first step White [1] gave in 1962 a linear description of the electro-acoustic effect known as the linear small-signal gain theory. In 1965 Greebe [2] used the linear small-signal gain theory to calculate the consequences that boundary conditions have on the impedance of semiconducting piezo-electric plates. Strong nonlinear interaction of space charge waves with stress waves, however, restricts the usefulness of linear theories.The most prominent nonlinear effects appearing in the sound amplification process are current saturation, electro-acoustic domain formation, current oscillations, parametric interaction of sound waves, large current fluctuations in the saturation current, and impedance effects. Several authors [3][4][5][6][7]have tried to describe these nonlinear phenomena. Since, however, descriptions of this kind, which start from basic principles, are very difficult, many of these phenomena are not yet understood quantitatively.In 1967 Moore [6] avoided the use of nonlinear equations by suggesting that the observed current saturation and current fluctuations are caused by bunching of free charge carriers in potential troughs which are coupled to the amplified acoustic waves via the piezo-electric effect. He described the observed current fluctuations in CdS by a trough creation-annihilation process.In 1978 Zijistra and Gielen [7] modified this theory by accounting for transit time effects in a local description. They neglected the displacement and the diffusion current in the expression for the current density and assumed that the creation and annihilation of troughs are independent of electric field strength. As a consequence they found a frequency-independent impedance. Experimentally, however, the observed ac impedance of electroacoustically active CdS crystals turned out to be frequency dependent. In fact experimental results showed in addition to the familiar dielectric roll-off, another, lower frequency roll-off in the range of 1 MHz.The aim of this paper is to show that the observed frequency dependence of the ac impedance can be explained if the local description is extended by taking into account diffusion, space charge, displacement current and the electric field dependence of the trough creation and annihilation rates. It should be noted that this calculation holds for crystals where a continuous type of amplified acoustic flux is observed (i.e. where no electro-acoustic domains are o...