Generalized Plane Waves and Waveguide Modes in a Moving Isotropic Medium

摘要

The Lorentz transformation of plane‐wave‐like solutions and general waveguide modes is analyzed. A propagation and attenuation tensor is introduced. General Doppler equations and invariant phase quantities are shown to be simple consequences of the formalism. The concept of dispersion is discussed and a covariant condition connected with this concept is given. Covariant wave equations and dispersion relations are derived in a simple manner. The dispersion relations are used to analyze some special waveguide solutions including cutoff phenomena.