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General analysis of a narrow slot in a conducting screen between half‐spaces of different electromagnetic properties
Author(s) -
Butler Chalmers M.
Publication year - 1987
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/rs022i007p01149
Subject(s) - integral equation , electric field integral equation , transverse plane , diffraction , excitation , electric field , mathematical analysis , series (stratigraphy) , electromagnetic field , field (mathematics) , chebyshev polynomials , plane (geometry) , mathematics , function (biology) , electromagnetic radiation , plane wave , physics , optics , geometry , quantum mechanics , pure mathematics , paleontology , structural engineering , evolutionary biology , engineering , biology
The electric field in a narrow slot in a conducting screen between two half‐spaces of different electromagnetic properties and the far‐zone diffracted field are determined analytically. Both transverse electric and transverse magnetic excitations are considered, and the slot electric field in each case is obtained by solving the corresponding narrow‐slot integral equation by two methods. In both methods the solutions are expressed as the product of a weight function and a series of Chebyshev polynomials. The series coefficients depend upon an integral of the known excitation in one method, while in the other they depend upon its derivatives. The solution procedure is illustrated by an example in which the excitation is taken to be a uniform plane wave.