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Scattering by a dielectric‐loaded slit in a conducting plane
Author(s) -
Hurd R. A.,
Sachdeva B. K.
Publication year - 1975
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 - 10.1029/rs010i005p00565
Subject(s) - slit , dielectric , optics , diffraction , plane (geometry) , mathieu function , scattering , cylinder , physics , plane wave , concentric , limit (mathematics) , materials science , mathematical analysis , geometry , mathematics , optoelectronics , quantum mechanics
A low frequency solution to the diffraction problem of an E ‐polarized plane wave incident on a dielectric‐loaded slit in a perfectly conducting plane is obtained. The dielectric loading consists of a circular cylinder just filling the slit and concentric with the slit center. The method used is a significant improvement over the traditional pseudo‐power‐series method of solution. Thus, when the dielectric is absent, our values differ by less than 2.1% from the exact Mathieu function solution at ka = 2.4, a being the half width of the slit. The gap between the high and low frequency solutions has therefore been bridged. When a dielectric is present, the limit ka = 2.4 will be multiplied by 1/∈ 1/2 1 . It is found that the transmission usually increases with the dielectric constant. Some curves are given to illustrate the effects.