Surface plasma wave in spin-polarized semiconductor quantum plasma

The propagation of surface waves at boundary between two media with different conductivities and dielectric properties has been an important area of research over the past many years. A surface plasma wave (SPW) is a guided electromagnetic mode which propagates between a conductor and a dielectric. The SPW is excited due to collective oscillations of free electrons at the interface and its field decays exponentially away from the interface, the dielectric as well as into the conductors. The characteristics of these modes have been extensively studied in plasmas due to their special frequency spectrum. The presence of small traces of a material on the interface brings a considerable change in characteristics of SPW and this feature of great importance to bio and nanoparticle sensors, micro-optics, and development of nanolaser. SPW play an important role in metamaterials that effectively has a negative refractive index. In this paper, we propose a scheme of stimulated SPW excitation in magnetized quantum plasma via stimulated electron-hole recombination in the proximity of the guiding surface using the modified SSE-QHD model taking into account the spin polarization produced due to difference in concentration of spin-up and spin-down electrons. The SPW field stimulates electron-hole recombination producing surface plasmons. The enhanced SPW field induces stronger e-h recombination, thus exponentiation the growth rate of SPW in the initial stage of instability. The dispersion relation and Poynting flux of the SPW in magnetized quantum plasma has been obtained. The optical gain has been calculated and analyzed graphically