2014
DOI: 10.3103/s0735272714060028
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Calculation of scattering characteristics of aerial radar objects of resonant sizes based on iterative algorithm

Abstract: The paper considers a method for calculating the scattering characteristics of aerial radar objects of resonant sizes and complex shape, the surface of which can be assumed perfectly conducting. This method is based on applying an iterative algorithm for solving the magnetic field integral equation. The developed method allows obtaining stable results in the case of large-dimensional matrices of integral equation and provides for the elimination of internal resonances caused by the idealization of mathematical… Show more

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Cited by 9 publications
(9 citation statements)
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“…The most important component of mathematical methods for calculating the characteristics of radar scattering of objects are three-dimensional digital models of their surfaces. In the work, methods for creating models of surfaces of resonant objects of complex shape, adapted to the proposed methods for solving IE [26], were used. These methods of creating a surface model make it possible to obtain sTable results of calculations of the scattering characteristics of resonant objects of complex shape with a smaller number of elementary sections of the surface scatterer than other methods.…”
Section: Computer Sciencesmentioning
confidence: 99%
“…The most important component of mathematical methods for calculating the characteristics of radar scattering of objects are three-dimensional digital models of their surfaces. In the work, methods for creating models of surfaces of resonant objects of complex shape, adapted to the proposed methods for solving IE [26], were used. These methods of creating a surface model make it possible to obtain sTable results of calculations of the scattering characteristics of resonant objects of complex shape with a smaller number of elementary sections of the surface scatterer than other methods.…”
Section: Computer Sciencesmentioning
confidence: 99%
“…where n 0 ¼ 1; :::; N is the index of the observation point. The integrals in Equation ( 26) are calculated using the compound five-point Gauss formula [20,23].…”
Section: Ie Discretisation Algorithmmentioning
confidence: 99%
“…This equation can be obtained by applying the Lorentz reciprocity theorem [19, 23] to the sought‐after field (trueE,0.25emtrueH) and the field of the auxiliary magnetic point source in the free space, (bold-italicE1m,0.25embold-italicH1m). Taking into account that the MFIE kernel has a singularity corresponding to the normal derivative of a single‐layer potential [33], the MFIE can be introduced in the following form [16, 20, 23]: 2trueτq0trueH0(bold-italicQ0)(trueν0×trueτq0)trueJe(bold-italicQ0)(1+Is0(bold-italicQ0))=2iωSs0bold-italicE1m(trueQ|bold-italicQ0,0.25embold-italicτq0)bold-italicJe(bold-italicQ)ds, where ω is the cyclic frequency, bold-italicQ,trueQ0S are the integration and observation points, respectively, trueH0 is the magnetic vector of the incident field, …”
Section: Basic Equationsmentioning
confidence: 99%
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