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

A quantized form of Surface Plasmon Polariton (SPP) modes propagating on the metal thin film is provided, which is based on the Green's tensor method. Since the media will be considered lossy and dispersive, the amplification and attenuation of the SPP modes in various dielectric media, by applying different field frequencies, can be studied. We will also illustrate the difference between behavior of coherent and squeezed SPP modes in the amplifying media.