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The screening of a potential distribution by a two-dimensional electron gas in a strong electromagnetic field

The influence of a very intense electromagnetic wave (EMW) on the penetration of a static electric field into a two-dimensional electron gas (2DEG) is considered. A static field is created by a charge distribution in the plane parallel to the 2DEG; the electric wavevector is parallel to the same plane. The distribution of the DC part of the potential behind the plane of the 2DEG is calculated for the two simplest cases, the sinusoidal charge distribution and the point charge. In the first case the amplitude of the sinusoidal potential is found to be an oscillating function of the wave amplitude. With increasing EMW intensity the 2DEG becomes 'electrically transparent', i.e. stops screening the static field and giving a contribution to the image potential.