Exact theory of edge diffraction and launching of transverse electric plasmons at two-dimensional junctions

An exact solution for electromagnetic wave diffraction at the junction of two-dimensional electron systems (2DES) is obtained and analyzed for electric field polarized along the edge. A special emphasis is paid to the metal-contacted and terminated edges. In the former case, electric field at the edge tends to zero; in the latter case, it tends to a finite value which is screened by 2d system in an anomalous fashion. For both types of edge and capacitive type of 2d conductivity, an incident wave excites transverse electric 2d plasmons. The amplitude of excited TE plasmons is maximized and becomes order of incident wave amplitude for capacitive impedance of 2DES order of free space impedance. For both large and small 2DES impedance, the amplitude of TE plasmons tends to zero according to the power laws which are explicitly derived.