TITLE:
Surface Waves in a Relativistic Plasma Stream Propagating in a Duct: Kinetic Theory
AUTHORS:
Hee J. Lee, Young Kyung Lim
KEYWORDS:
Surface Wave, Relativistic Plasma, Duct, Slab
JOURNAL NAME:
Journal of Modern Physics,
Vol.13 No.7,
July
12,
2022
ABSTRACT: Dispersion relation of surface waves generated by a relativistic plasma stream in an infinite duct surrounded by vacuum is derived by means of relativistic Vlasov equation. The kinematic boundary condition imposed on the distribution function, the specular reflection conditions on the four sides of duct, can be satisfied by placing infinite number of fictitious surface charge sheets spaced by the duct widths. By placing appropriate fictitious surface charge sheets one can effectively deal with the extended electric field introduced in the Vlasov equation and treat kinetically the surface waves in semi-infinite, slab, and duct plasmas on equal ground. The relativistic duct dispersion relation is compared with the earlier non-relativistic surface wave dispersion relation.