Dispersion relations for parallel-plane waveguide containing transversely magnetized uniaxial and warm plasma in relative motion

Starting from the dispersion relation corresponding to TM modes in the rest system and relativistic transformations, dispersion relation corresponding to TM mode, is derived in the moving system. The plasma is assumed to be homogeneous, compressible, and uniaxial in the presence of strong TM field. From the wave equation corresponding to TE modes in the moving system, it is concluded that the dispersion relation corresponding to TE modes is independent of the temperature of plasma and is the same as that for ordinary air-filled parallel-plane waveguide in the presence of strong TM field. The magnetic field has no effect on air filled guide. The dispersion relation corresponding to TEM modes is also derived.