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The Quarterly Journal of Mechanics and Applied Mathematics 1954 7(3):326-334; doi:10.1093/qjmam/7.3.326
© 1954 by Oxford University Press
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PROPAGATION OF ELECTROMAGNETIC WAVES IN CYLINDRICAL WAVE-GUIDES WITH IMPERFECTLY CONDUCTING WALLS

V. M. PAPADOPOULOS

( Department of Mathematics, The University of Manchester )

The effect, on the propagation of electromagnetic waves in cylindrical wave-guides of arbitrary cross-section, of imperfectly conducting walls is calculated by a perturbation method using approximate boundary conditions at the walls. The results show that, in cases where a particular type of degeneracy occurs in the ideal guide, the introduction of imperfectly conducting walls removes the degeneracy; in such cases definite linear combinations of E and H modes are propagated with definite propagation constants. This type of degeneracy occurs in rectangular wave-guides. It follows that the power-loss method of calculating the attenuation constant, which assumes pure E or H mode propagation, is not correct in these cases. The perturbation method gives not only the attenuation constant for each combination of modes, but also the value of the phase velocity, and the corresponding field components.


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