2. Ερευνητικές - Επιστημονικές Δημοσιεύσεις του Ακαδημαϊκού Προσωπικού
Μόνιμο URI για αυτήν την κοινότηταhttps://repository2024.ihu.gr/handle/123456789/30486
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Πλοήγηση 2. Ερευνητικές - Επιστημονικές Δημοσιεύσεις του Ακαδημαϊκού Προσωπικού ανά Συγγραφέα "Alivizatos, E. G."
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Τεκμήριο Optimization of the Method of Auxiliary Sources (MAS) for Oblique Incidence Scattering by an Infinite Dielectric Cylinder(2007-05) Tsitsas, N. L.; Alivizatos, E. G.; Kaklamani, D. I.; Anastassiu, H. T.The analytic inversion of the Method of Auxiliary Sources (MAS) matrix plays an important role in the rigorous investigation of the accuracy of the method. In this paper we investigate the accuracy of MAS when the method is applied to plane wave scattering under oblique incidence by an infinite, dielectric circular cylinder. For this scattering configuration, we prove that the MAS matrix is analytically invertible and hence obtain a concrete expression for the discretization error. A basic contribution of this paper lies in the analytic determination of the auxiliary sources’ locations, for which the corresponding system’s matrix becomes singular. Furthermore, we calculate the computational error resulting from numerical matrix inversion, and compare it to the analytical error. The dependence of both types of errors on the angle of incidence and on the dielectric permittivity is investigated. Finally, error minimization indicates the auxiliary sources’ optimal location.Τεκμήριο Optimization of the Method of Auxiliary Sources (MAS) for Scattering by an Infinite Cylinder Under Oblique Incidence(2005) Tsitsas, N. L.; Alivizatos, E. G.; Anastassiu, H. T.; Kaklamani, D. I.This paper presents a rigorous accuracy analysis of the method of auxiliary sources (MAS) for the problem of oblique incidence plane wave scattering by a perfectly conducting, infinite circular cylinder. For this particular scattering geometry, it is shown that the MAS matrix is inverted analytically, via eigenvalue analysis, and an exact mathematical expression for the discretization error is derived. Furthermore, the computational error, resulting from numerical matrix inversion, is calculated and compared to the analytical one, showing perfect fit for a wide range of the auxiliary sources' locations. The irregular behavior of the computational error for small values of the auxiliary sources' radii is explained by the corresponding high values of the linear system's condition number. It is also demonstrated that specific source locations, associated with the characteristic eigenvalues of the scattering problem, should be avoided, because then both computational and analytical error increase very abruptly. The dependence of the computational and analytical error on the angle of incidence is thoroughly investigated. Finally, the optimal location of the auxiliary sources is determined on the grounds of error minimization.