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The Propagation of Electromagnetic Waves in Tubes with Large Wall Conductivity
Author(s) -
Mann James E.
Publication year - 1971
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs006i011p00997
Subject(s) - degenerate energy levels , eigenvalues and eigenvectors , excited state , conductivity , perturbation (astronomy) , waveguide , vector potential , electromagnetic radiation , physics , magnetic field , hertz , mathematical analysis , electromagnetic field , electric field , computational physics , quantum electrodynamics , mathematics , optics , quantum mechanics
We solve for the fields in a waveguide with finitely conducting walls by a singular perturbation technique. The method provides a systematic procedure for finding higher‐order terms in the solution and also yields insight into the effects of conductivity on a waveguide whose cross section has degenerate eigenvalues. The problem is formulated in terms of the Hertz potential with the guide excited by an electric vector polarized longitudinally (TM case). Since the equations are similar for the case of the guide excited by a magnetic vector polarized longitudinally (TE case), the method developed may be easily extended to include that case.