Time-harmonic analyses are presented for the excitation of a dielectric slab and for the excitation of an isotropic, incompressible, plasma slab by means of a parallel-plate waveguide with one plate truncated. Both TE and TM polarizations are considered in these open-region problems.The principal contribution of the paper is the development of a procedure for factoring the function of a complex variable which appears in the fon~ulation of each of these Wiener-Hopf type boundary value problems. The technique obtains the fac~orization for the open-region problem by a limiting procedure on a function and its factorization associated with a related closed-region problem. The latter factorization is usually trivial. The technique is quite general and should find application to a wide range of Wiener·Hopf problems involving open regions.Details of the investigation including the results of numerical computations are presented for the excitation problems. These include the average power reflected in the waveguide, radiated in the space wave, and transmitted by the surface waves. The radiation pattern of the space wave is also given.
This paper analyses the coupling of electromagnetic modes at the junction between straight and continuously curved rectangular waveguides. The method of solution is based on an integral equation formulation, applicable for sharp as well as gradual bends. Such quantities as the average power transmitted or reflected into each of the various modes propagating in the straight and curved waveguide sections are readily obtained.
The article presents the results of representative calculations for the two types of waveguide bends. These include graphs of the energy distribution in the transmitted and reflected modes as a function of dimensionless ratios for a sharp bend; the range of values considered allows immediate application of the results to standard C‐band waveguides. The gradual bend example uses parameters encountered in the waveguide connections to an antenna in a typical microwave relay network.
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