Generalized Plane Waves and Waveguide Modes in a Moving Isotropic Medium

Mogens Aalund; Günther Johannsen

doi:10.1063/1.1660605

Generalized Plane Waves and Waveguide Modes in a Moving Isotropic Medium

Mogens Aalund, Günther Johannsen

Technical University of Denmark

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Abstract

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. ©1971 The American Institute of Physics

Original language	English
Journal	Journal of Applied Physics
Volume	42
Issue number	7
Pages (from-to)	2669-2673
ISSN	0021-8979
DOIs	https://doi.org/10.1063/1.1660605
Publication status	Published - 1971

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Copyright (1971) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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N2 - 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. ©1971 The American Institute of Physics

AB - 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. ©1971 The American Institute of Physics

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Generalized Plane Waves and Waveguide Modes in a Moving Isotropic Medium

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