Space charge waves in a two-dimensional electron gas

This paper uses field theory to derive the exact dispersion relation of space charge waves in a two-dimensional electron gas (2DEG) located dielectric or dissimilar waveguide. It is found that 2DEG can be modeled accurately using free-electron sheet model, which further confirmed by almost identical polarizability and with zero drift velocity. Transitions among well-known dispersion, beam mode vacuum electronics, Gould–Trivelpiece plasma physics are demonstrated varying density direct current The effects waveguide dimensions also presented. Our method general applied find arbitrary velocity (governed electric scattering) more complex circuits. study provides insight into design electromagnetic wave devices circuits involving 2DEG.