The existence of non-linear magnetoplasma waves in compensated metals and semi-metals in the presence of a strong magnetic field is predicted. Non-linearity in the case considered is caused by the influence of the magnetic field of the wave on the dynamics of the electrons and holes. The conductivity tensor is calculated neglecting the spatial dispersion and is shown to be in the non-linear regime a differential - with respect to time - operator which is a manifestation of the temporal dispersion effects. The shape of the wave solution obtained is determined by two parameters: the amplitude and the phase velocity V. When the amplitude is small and , where is the Alfvén velocity, the solution transforms into the well-known linear magnetoplasma wave. It is shown that, contrary to the linear case, the non-linear magnetoplasma wave exists when the phase velocity is both less and larger than . It is established that with increase of the velocity and the amplitude being fixed the quasiharmonic wave turns into a series of pulses, the interval between which is growing infinitely. In the aperiodic limit the wave becomes a one-parameter soliton. Its velocity is larger than and depends linearly on . With increase of , when V is fixed, the period of the magnetoplasma wave descends and the wave shape becomes a series of sharp spikes. Thus, when we have transition from a linear wave to an anharmonic one, while when we have a transition from a soliton to a sequence of pulses. Both the soliton and the non-linear periodic wave with have no analogues in the linear case. These electromagnetic waves are essentially non-linear even at small - in comparison with the external magnetic field - amplitudes.
The nonlinear interaction of DC current flowing in a thin metal film with an external low-frequency AC electromagnetic field is studied theoretically. The nonlinearity is related to the influence of the magnetic field of the DC current and the magnetic field of the wave on the form of electron trajectories. This magnetodynamic mechanism of nonlinearity is the most typical for pure metals at low temperatures. We find that such interaction causes sharp kinks in the temporal dependence of the AC electric field of the wave on surface of the sample. The phenomenon of amplification of the electromagnetic signal on the metal surface is predicted. We also calculate the nonlinear surface impedance and show that it turns out to be imaginary-valued and its modulus decreases drastically with the increase of the wave amplitude.
The effeet of current rectification in a metal plate, placed in a panllel magnetic field hu and i d i a t e d by ndio waves of sufficiently large amplitude H, is investigated theoretically.On the basis of Pippard's ineffectiveness concept, the equation for the induced magnetic field h inside the sample is obtained. The dependence h(ho) exhibits hysteresis behaviour for amplitudes ' H larger than a certain critical value H-. We show that on diminishing the plate thickness d, the induced field h decreases, whereas the critical amplitude H,, augments. On incrwing the amplitude H of the radio wave, the hysteresis loops h(hd for a thin plate converge to a limit curve determined by sample parameters: the skin depth 6 and the thickness d .
We study the features of the current density distribution in a thin plate of a compensated metal under pinch-effect conditions. It Is established that the current structure possesses a sign-oltemating character. There exist space layers where the current flows in the opposite direction to an electric 6eld in the sample. The current density spatial oscillations x e caused by the non-linearity stipulated by the influence of a non-uniform magnetic field of the current on the metal conductivity. It is shown that the sign-altemoting current distribution results in oscillations in the sample I-V characteristics. These oscillations a x observed experimentally.
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