Anomalous penetration of an electromagnetic signal in a thin metallic plate under strong magnetodynamic nonlinearity conditions

Magnetodynamical instability in aluminum in the Rinzel–Keller model

“…It is shown in [12] that in a noncompensated metal, magnetic field obeys a similar but more complicated equation. The currents and fields in a section of transmitting line must obey a telegraph equation besides (2). In this case, when the frequencies are not too high, the telegraph equation assumes the form [13]…”

“…Generation of instability is often connected with a descent part of current-voltage characteristic. It is known that even dc current-voltage characteristic has a descent part at strong current values [2]. The presence of a descent part is caused by a special type of electron trapped by the magnetic field of current.…”

“…Actually, the spatial inhomogeneity of fields is characterized by the skin depth. The current-voltage characteristic for plate, calculated following [2], for the number of parameters…”

“…The action of the magnetic field of electromagnetic wave or strong electric current causes variation in conductivity of pure metal. Several kinds of instabilities can be generated due to this magnetodynamical nonlinearity [1][2][3]. Propagation of high-frequency electromagnetic wave presents an effective method for studying pulse current instability.…”