Dispersion and Damping Properties of Plasmon Polaritons in Superlattice Structures II. Semi-Infinite Superlattice

The dispersion and damping properties of surface plasmon-polaritons in semi-infinite superlattices are analyzed using a local theory with retardation. The position of the dispersion curves of the surface plasmon-polaritons relatively to the bands of the plasmon-polaritons in infinite super-lattices is discussed. It is shown that in a definite range of the thickness ratio of the single-layers in an infinite superlattice a degeneracy point of the two plasmon-polariton bands exists which is crossed by one of two surface modes existing in semi-infinite superlattices. An analytic expression for the damping function is derived by means of a perturbative method. The different behaviour of the damping of surface plasmon-polaritons in various semi-infinite superlattice structures is discussed. The dispersion curves, the electromagnetic fields, and the damping function are calculated and presented in graphical form. Es werden die Dispersions- und Dampfungseigenschaften von Oberflachen-Plasmon-Polaritonen in halbunendlichen Supergittern auf der Grundlage einer lokalen Theorie einschlieslich Retardierung analysiert. Die Lage der Dispersionskurven der Oberflachen-Plasmon-Polaritonen relativ zu den Bandern der Plasmon-Polaritonen in unendlichen Supergittern wird diskutiert. Es wird gezeigt, das ein bestimmter Bereich des Schichtdickenverhaltnisses der beiden Teilschichten des Supergitters mit der Existenz eines Entartungspunktes der zwei Bander der Plasmon-Polaritonen verbunden ist, der von einer der beiden Oberflachen-Moden gekreuzt wird. Ein analytischer Ausdruck fur die Dampfungsfunktion wird mit Hilfe der Storungstheorie abgeleitet. Das unterschiedliche Verhalten der Dampfung von Oberflachen-Plasmon-Polaritonen in verschiedenen halbunendlichen Supergitterstrukturen wird diskutiert. In graphischer Form werden die Dispersionskurven, die elektromagnetischen Felder und die Dampfungsfunktion dargestellt.

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