Surface plasmons studied by the method of recurrence relations

Abstract

The author studies the plasma oscillations in a finite number of layers of a 2DEG. It is shown that by matching electromagnetic boundary conditions and solving the recurrence relations for the coefficients of the electric potential in different regions, a general equation can be obtained for the frequencies of all the plasmons under different types of surface discontinuity. Numerical results are shown for six layers with nonidentical surface charge layers.