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The cross-section method is an analytical tool used in the design
of components required for low-loss, highly efficient transmission
of electromagnetic waves in nonuniform waveguides. When the
waveguide dimensions are large compared with the wavelength, a
fully three-dimensional analysis employing modern numerical methods
based on finite element, finite difference, finite integration or
transmission line matrix formalisms is practically impossible and
the cross-section method is the only feasible analysis technique.
The method is not limited to oversized tubular metallic waveguides,
but is employed intensively in areas such as fibre optic
communications, antenna synthesis, natural waveguides (submarine,
tropospheric and seismic), microwave radio links (Earth or space)
and the design of absorbing surfaces and it may also be applied to
many acoustic problems. The application of the method in special
cases such as cut-off and resonant frequencies is covered, as well
as the design of oversized waveguide components such as tapers,
bends, polarisers and mode converters. Many useful formulas are
given for the practical layout of such transmission line
components. The use of computers in the application of the method
and problems related to numerical analysis are also covered.
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