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Waveguide Excitation of Dielectric and Plasma Slabs
Author(s) -
Bates C. P.,
Mittra R.
Publication year - 1968
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds196833251
Subject(s) - factorization , waveguide , excitation , mathematical analysis , slab , boundary value problem , physics , isotropy , mathematics , optics , quantum mechanics , algorithm , geophysics
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 formulation of each of these Wiener‐Hopf type boundary value problems. The technique obtains the factorization 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.