For a sufficiently large number of conduction electrons per unit volume of metal, the component electric field strength of the wave parallel to the metal surface is weakened to almost zero. Therefore, the solution of the problem of the interaction of an electromagnetic wave with a metal is reduced to finding two such traveling waves near its surface, the superposition of which gives a zero component of the electric field strength along the surface. Such electromagnetic waves are two waves that fall perpendicular to a metal surface: one actually moves in space outside the metal, and another fictitious "inverted" wave moves towards the first one inside the metal (in the figure, this area along with the fictitious wave is located to the right of the AB plane). The dummy wave becomes real as soon as it goes beyond the AB boundary, where it overlaps with the first wave. The superposition of these waves to the left of the AB plane gives zero electric field strength along AB and, therefore, solves the problem.
Using the described technique, find the electric field strength and magnetic field induction near the metal plane at the moment when the top of the incident wave reaches the AB plane.