Space Charge Waves in A 2DEG

The interaction of two-dimensional electron gas (2DEG) in a solid-state heterostructure with a surrounding slow wave circuit holds the potential for high power THz generation and amplification. The dense 2DEG formed at material interfaces will provide an ideally confined beam of high-density electrons, where problems pertinent to the vacuum electron beams, such as strong external magnetic field needed for beam confinement and the stringent manufacturing and alignment tolerances at shorter wavelengths, can be eliminated. To utilize 2DEG in a wave amplifier, it is important to understand the behavior of space charge waves in a 2DEG [1] . In this work, we provide the exact dispersion relation for the space charge waves (or plasma waves) in a 2DEG located inside a dielectric waveguide. The effects of dissimilar dielectric materials, waveguide dimensions, and 2DEG density are analyzed. The results are compared to those of an ideal free-electron sheet beam with infinite axial magnetic field [2] . The transition to the Gould-Trivelpiece mode is demonstrated [3] .