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The nonlinear transformation of a linearly polarized source plane electromagnetic wave, propagating along an external static magnetic field in free space for t<0, due to the sudden creation of homogeneous plasma at t=0 and sudden switching off the external magnetic field after an elapsed time interval τ, is studied. This transformation has been analyzed by using the second order perturbation theory in radio approximation. For t>τ, the stationary (rectification and space-varying) modes, the electron and electromagnetic plasma oscillations and traveling electron and electromagnetic plasma waves have been created. Among the large variety of nonlinear longitudinal electric modes the appearance of rectification mode was observed. The efficiency of excitation of the longitudinal electric rectification mode has been studied for different values of source wave angular frequency, electron cyclotron angular frequency, and duration time τ of external static magnetic field.

Comment on "Instability of the Shukla mode in a dusty plasma containing equilibrium density and magnetic field inhomogeneities" [Phys. Plasmas 11, 1732 (2004] and "New resonance and cut-off for low-frequency electromagnetic waves in dusty magnetoplasmas" [Phys.The nonlinear transformation of the linearly polarized source electromagnetic wave into electron and electromagnetic plasma oscillations, stationary ͑rectification and space-varying͒ modes, and traveling electron and electromagnetic plasma waves due to weak nonlinearity has been analyzed by means of the second order perturbation theory with the radio approximation. The efficiency of excitation of the transversal stationary, spatially nonperiodical ͑rectification͒ electric mode has been studied for different values of source wave frequency, taking electron cyclotron frequency as a parameter.

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