2000
DOI: 10.1007/bf02677195
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A new calculation method for a thin electric dipole

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Cited by 2 publications
(2 citation statements)
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“…The algorithm [8] was used in the process of solving the above SIE, the essence of which consists in reducing the SIE to the Fredholm integral equation of the second kind by applying the inversion formula for a Cauchy type singular integral. The procedure for finding the current distribution function reduces to solving a system of linear algebraic equations (SLAE) with respect to unknown coefficients in the expansion of the current function in the Chebyshev polynomials.…”
Section: Methodsmentioning
confidence: 99%
“…The algorithm [8] was used in the process of solving the above SIE, the essence of which consists in reducing the SIE to the Fredholm integral equation of the second kind by applying the inversion formula for a Cauchy type singular integral. The procedure for finding the current distribution function reduces to solving a system of linear algebraic equations (SLAE) with respect to unknown coefficients in the expansion of the current function in the Chebyshev polynomials.…”
Section: Methodsmentioning
confidence: 99%
“…This means that such a solution does not allow one to pass directly from the current on the emitting surface to the field and back, i.e., boundary conditions are not satisfied. In this paper, we describe a self-consistent approach which allowed one to develop the electrodynamic theory of a tubular electric dipole [4][5][6][7][8][9] and the theory of strip dipoles located conformally on a cylindrical surface in free space [10]. In this case, by the self-consistent theory of an emitting structure we mean a singular integral representation of the electromagnetic field and singular integral equations (SIEs) which are obtained from the integral field representation when it is considered on the surface on which the dipole is located.…”
Section: Introductionmentioning
confidence: 99%