Theory of Nonuniform Waveguides: the cross-section method PDF

This book is devoted to one of the mathematical methods employed to solve a certain class of electrodynamic problems, considering nonuniform oversized (or overmoded) tubular metallic waveguides. Their properties are monotonically varying along the direction of wave propagation. At present, the most important scientific and technological applications of overmoded transmission lines are in the area of magnetically confined nuclear fusion experiments. 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 based on finite element, finite difference, finite integration or transmission line matrix formalism 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, trophospheric and seismic), microwave radio links (Earth or space) and the design of absorbing surfaces and it may also be applied to many acoustic problem. The application of the method in special cases such as cut-off and resonant frequencies is covered, as well as the design of oversized waveguides components such as tapers, bends, polarisers and mode converters. may useful formulas are given for the practical layout of such transmission lines components. The use of computers in the application of the method and problems related to numerical analysis are also covered.

Author(s)

B. Z. Katsenelenbaum, L. Mercader del Rio, M. Pereyaslavets, M. Sorolla Ayza, M. Thumm