Quantization of surface plasmon polariton by Green's tensor method in amplifying and attenuating media

In this paper we will present a quantization method for SPP (Surface Plasmon Polariton) based on Green's tensor method, which is applied usually for quantization of EM-field in various dielectric media. This method will be applied for a semi-infinite structure, which contains metal and dielectric regions with one interface. Moreover, by introducing the quantized SPP, we will investigate the SPP propagation in the attenuating and amplifying systems. We will also consider two modes of SPP, i.e., coherent and squeezed states, and finally compare the propagation of these modes in the amplifying media.