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Asymptotic expressions for normalised cut-off frequencies of modes having large meridional order n and small azimuthal order m are obtained for an inhomogeneous waveguide having quadratic index variation. A fractional integral technique is used to construct solutions directly from the differential equation in the form of an integral representation, which is expanded by the steepest-descent procedure.
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http://iet.metastore.ingenta.com/content/journals/10.1049/ij-moa.1977.0027
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