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Abstract:

The roots of the complex transcendental equations that result from the application of the modal method to the scattering problem for a metallic groove are obtained iteratively as fixed points of entire functions of the form Fc(z), where c, z ∈ ℂ. Iterations are performed with Fc(z) or an appropriate branch of its multiple-valued inverse function, that is, zj+1 = Fc(zj) or zj+1 = F-1c(zj), respectively. Since convergence fails near double roots, an insightful study of the problem is made and high-precision solutions near double roots are obtained by interpolation. Examples are given to illustrate the behaviour of the methods in different situations, with a connection to fractal theory. © 1998 Elsevier Science Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:Computer solution of the scattering problem for a groove in a metallic plane using the modal method
Autor:Ruedin, A.M.C.; Skigin, D.C.; Vaillancourt, R.
Filiación:Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Dept. of Mathematics and Statistics, University of Ottawa, Ottawa, Ont. K1N 6N5, Canada
Palabras clave:Fractals; Helmholtz equation; Iterative solution of transcendental equations; Metallic groove; Modal method; Scattering problem; Convergence of numerical methods; Electromagnetic wave scattering; Fractals; Functions; Interpolation; Iterative methods; Modal analysis; Problem solving; Helmholtz equation; Metallic groove; Transcendental equations; Computer simulation
Año:1998
Volumen:35
Número:11
Página de inicio:98
Página de fin:119
DOI: http://dx.doi.org/10.1016/S0898-1221(98)00088-1
Título revista:Computers and Mathematics with Applications
Título revista abreviado:Comput Math Appl
ISSN:08981221
CODEN:CMAPD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08981221_v35_n11_p98_Ruedin

Referencias:

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Citas:

---------- APA ----------
Ruedin, A.M.C., Skigin, D.C. & Vaillancourt, R. (1998) . Computer solution of the scattering problem for a groove in a metallic plane using the modal method. Computers and Mathematics with Applications, 35(11), 98-119.
http://dx.doi.org/10.1016/S0898-1221(98)00088-1
---------- CHICAGO ----------
Ruedin, A.M.C., Skigin, D.C., Vaillancourt, R. "Computer solution of the scattering problem for a groove in a metallic plane using the modal method" . Computers and Mathematics with Applications 35, no. 11 (1998) : 98-119.
http://dx.doi.org/10.1016/S0898-1221(98)00088-1
---------- MLA ----------
Ruedin, A.M.C., Skigin, D.C., Vaillancourt, R. "Computer solution of the scattering problem for a groove in a metallic plane using the modal method" . Computers and Mathematics with Applications, vol. 35, no. 11, 1998, pp. 98-119.
http://dx.doi.org/10.1016/S0898-1221(98)00088-1
---------- VANCOUVER ----------
Ruedin, A.M.C., Skigin, D.C., Vaillancourt, R. Computer solution of the scattering problem for a groove in a metallic plane using the modal method. Comput Math Appl. 1998;35(11):98-119.
http://dx.doi.org/10.1016/S0898-1221(98)00088-1