Diffraction by Parallel-Plates With Application to Lens Antennas
Grun, Leon
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https://hdl.handle.net/2142/66239
Description
Title
Diffraction by Parallel-Plates With Application to Lens Antennas
Author(s)
Grun, Leon
Issue Date
1980
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
Scattering of an incident plane, or cylindrical, wave by a staggered parallel-plate waveguide is examined. Of particular interest are the modal coefficients of the unattenuated modes in the waveguide when the incident field is an E-wave. Several past approaches based on ray techniques are critically examined. It is found that they are not applicable when the stagger is small or when the incident field is a cylindrical wave. For the latter incidence, we introduce here an aperture field method, in which the modal coefficients are calculated through the Fourier decomposition of the scattered field at the waveguide aperture. To determine this scattered field, we apply the uniform asymptotic theory for the primary contribution, and the spectral theory for the first interaction.
Extensive numerical data show that the aperture field method gives accurate results in canonical problems whose exact solutions are known. As an application to the design of constraint waveguide lens antenna our method enables one to determine the field distributed over the lens in a more exact manner.
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