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Mutual coupling between slots cut in rectangular cylindrical structures: Spectral domain technique
Author(s) -
Rengarajan Sembiam R.
Publication year - 1996
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 - 10.1029/96rs00891
Subject(s) - admittance , fourier transform , mathematics , mathematical analysis , coupling (piping) , moment (physics) , truncation (statistics) , method of moments (probability theory) , inverse , frequency domain , integral equation , domain (mathematical analysis) , geometry , physics , electrical impedance , classical mechanics , quantum mechanics , mechanical engineering , statistics , estimator , engineering
This paper addresses the problem of evaluating the mutual coupling between slots cut in arbitrary cylindrical structures. The analysis of fields radiated in the exterior region of such a structure requires a numerical evaluation since there exists no analytical Green's function for the general three‐dimensional (3‐D) problem. The 3‐D problem is reduced to a number of two‐dimensional (2‐D) problems by performing Fourier transform of fields and sources with respect to the axial (z) direction. The 2‐D problems are formulated in terms of integral equations in k z (wave number in the z direction) space, and they are solved by the moment method. Mutual coupling expressions for slots cut in rectangular waveguide walls are obtained from an inverse Fourier transform of the 2‐D spectral domain solutions. Comparisons to similar analyses in the prior literature for self‐admittance of isolated slots and mutual admittance between pairs of slots are made. Efficient methods of determining the spectral domain solutions, criteria for sampling and truncation of the spectrum, and some representative results are presented.