The electromagnetic waves inside a circular waveguide having a periodically varying radius with corrugations of infinite or semi-infinite extent are discussed. The infinitely corrugated waveguide is investigated by use of the null-field approach, and some plots of the axial wavenumbers are presented. For a junction between a straight and a corrugated waveguide, the reflection and transmission coefficients are determined by mode matching; some computations of these reflection coefficients are also given.>
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S.L.G. Lundqvist (1988) studied this question.