Metodo de ecuación  por  patrones  para la solución de scattering electromagnético  por partículas axialmente  simétricas con  impedancia de superficie anisotrópica  compleja

None; None

Resúmenes

The pattern equation method (PEM) has been extended to solve the scattering problems of electromagnetic waves by particles with mixed anisotropic surface impedance. Thus, the anisotropic impedance boundary conditions are imposed on lateral surface of the particle, and isotropic impedance boundary conditions are imposed on end faces of the particle. The method is formulated for axially-symmetric bodies. The scattering characteristics of the bodies with artificially soft and hard lateral surfaces are presented. The comparison of the results with those obtained by other methods is carried out. The analysis of convergence’s rate of numerical algorithm of the PEM and accuracy of numerical calculations are presented. Comparison of our data with numerical results obtained earlier by the PEM in absence of an anisotropic impedance is carried out.

Problemas de scattering; método de ecuaciones de patrones; impedancia anisotrópica; superficies artificiales suaves y duras; cuerpos con superficie de impedancia anisotrópica

El método de la ecuaciones de patrón (PEM) han sido extendidos para resolver problemas de scattering en ondas electromagnéticas por medio de partículas con superficie de impedancia mista anisotrópica. Luego, las condiciones de frontera de impedancia anisotrópica se imponen en la superficie lateral de la partícula, y condiciones de frontera de impedancia isotrópica se imponen en caras finales de la partícula. El método se formula para cuerpos axialmente simétricos. Se presentan las características del scattering de los cuerpos con superficies laterales artificiales suaves y duras. Se lleva a cabo la comparación de los resultados con los que se obtienen con otros métodos. También se presenta el análisis de la tasa de convergencia del algoritmo numérico PEM y la precisión de los cálculos numéricos. Finalmente se hace la comparación de nuestros datos con los resultados numéricos obtenidos antes con el PEM en ausencia de la impedancia anisotrópica.

Problemas de scattering; método de ecuaciones de patrones; impedancia anisotrópica; superficies artificiales suaves y duras; cuerpos con superficie de impedancia anisotrópica

Pattern equation method for the solution of electromagnetic scattering by axially-symmetric particles with complex anisotropic surface impedance

Metodo de ecuación por patrones para la solución de scattering electromagnético por partículas axialmente simétricas con impedancia de superficie anisotrópica compleja

Alexander G. Kyurkchan^*+, Dmitry B. Demin⁺*

*^{Dirección para correspondencia}
Abstract

The pattern equation method (PEM) has been extended to solve the scattering problems of electromagnetic waves by particles with mixed anisotropic surface impedance. Thus, the anisotropic impedance boundary conditions are imposed on lateral surface of the particle, and isotropic impedance boundary conditions are imposed on end faces of the particle. The method is formulated for axially-symmetric bodies. The scattering characteristics of the bodies with artificially soft and hard lateral surfaces are presented. The comparison of the results with those obtained by other methods is carried out. The analysis of convergence’s rate of numerical algorithm of the PEM and accuracy of numerical calculations are presented. Comparison of our data with numerical results obtained earlier by the PEM in absence of an anisotropic impedance is carried out.

Keywords: Scattering problems, pattern equation method, anisotropic impedance, artificial soft and hard surfaces, bodies with the mixed anisotropic surface impedance.

Resumen

El método de la ecuaciones de patrón (PEM) han sido extendidos para resolver problemas de scattering en ondas electromagnéticas por medio de partículas con superficie de impedancia mista anisotrópica. Luego, las condiciones de frontera de impedancia anisotrópica se imponen en la superficie lateral de la partícula, y condiciones de frontera de impedancia isotrópica se imponen en caras finales de la partícula. El método se formula para cuerpos axialmente simétricos. Se presentan las características del scattering de los cuerpos con superficies laterales artificiales suaves y duras. Se lleva a cabo la comparación de los resultados con los que se obtienen con otros métodos. También se presenta el análisis de la tasa de convergencia del algoritmo numérico PEM y la precisión de los cálculos numéricos. Finalmente se hace la comparación de nuestros datos con los resultados numéricos obtenidos antes con el PEM en ausencia de la impedancia anisotrópica.

Palabras clave:Problemas de scattering, método de ecuaciones de patrones, impedancia anisotrópica, superficies artificiales suaves y duras, cuerpos con superficie de impedancia anisotrópica.

Mathematics Subject Classification:76B15.

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References

Referencias bibliográficas

[1] Kyurkchan, A.G. (2000) “Solution of vector scattering problems by the pattern equation method”, Journ Comm Tech and Electron 45: 970–975.
[2] Kyurkchan, A.G.; Demin. D.B. (2002) “Electromagnetic wave diffraction from impedance scatterers with piecewise–smooth boundaries”, Journ Comm Tech and Electron 47: 856–863.
[3] Kyurkchan, A.G.; Demin. D.B. (2004) “Simulation of wave scattering by bodies with an absorbing coating and Black Bodies”, Technical Physics 49: 165–173.
[4] Kyurkchan, A.G.; Demin. D.B. (2004) “Pattern equation method for solving problems of diffraction of electromagnetic waves by axially dielectric scatterers”, JQSRT 89: 237–255.
[5] Kyurkchan, A.G.; Demin. D.B.; Orlova, N.I. (2007) “Solution of scattering problems of electromagnetic waves from objects with dielectric covering using pattern equation method”, Journal of Commun. Techn. and Electron 52: 131–40.
[6] Kyurkchan, A.G.; Demin. D.B.; Orlova, N.I. (2007) “Solution based on the pattern equation method for scattering of electromagnetic waves by objects coated with dielectric materials”, JQSRT 106: 192–202.
[7] Kyurkchan, A.G.; Demin. D.B. (2009) “Solution of problem of electromagnetic waves scattering on inhomogeneously layered scatterers using pattern equation method”, JQSRT 110: 1345–1355.
[8] Kyurkchan, A.G.; Demin. D.B. (2011) “Solution of problems of electromagnetic wave scattering by bodies with an anisotropic impedance with the help of the pattern equation method”, Journal of Commun. Techn. and Electron 56: 134–141.
[9] Kyurkchan, A.G. (1999) “Excitation of a periodic ribbed structure possessing the properties of an artificially hard surface by a thread of current”, Journal of Commun. Techn. and Electron. 44: 731–737.
[10] Kildal, P.-S. (1988) “Definition of artificially soft and hard surfaces for electromagnetic waves”, Electron. Lett. 24(3): 168–170.
[11] Kildal, P.-S. (1990) “Artificially soft and hard surfaces in electromagnetics”, IEEE Transactions on Antennas and Propagation 38(10): 1537–1544.
[12] Papas, C.H. (1965) Theory of Electromagnetic Wave Propagation. McGraw–Hill, New York.
[13] Hizal, A.; Marincic, A. (1970) “New rigorous formulation of electromagnetic scattering from perfectly conducting bodies of arbitrary shape”, Proc. IEEE 117(8): 1639–1647.
[14] Millar, R.F.; Burrows, M.L. (1969) “Rayleigh hypothesis in scattering problems”, Electron. Lett. 5: 416–418.
[15] Kyurkchan, A.G. (1992) “A new integral equation in the diffraction theory”, Soviet Physics Doklady 37(7): 338–340.

^*Correspondencia a:

Alexander G. Kyurkchan.

Moscow Technical University of Communication and Informatics, Aviamotornaya Street 8A, Moscow, 111024, Russia. E-Mail: kyurkchan@yandex.ru, kyurkchan@mtuci2.ru.

Dmitry B. Demin.

Same address as/Misma dirección que A.G. Kyurkchan. E-Mail: mbdeminsds@mail.ru

^*Moscow Technical University of Communication and Informatics, Aviamotornaya Street 8A, Moscow, 111024, Russia. E-Mail: kyurkchan@yandex.ru, kyurkchan@mtuci2.ru

⁺Same address as/Misma dirección que A.G. Kyurkchan. E-Mail: mbdeminsds@mail.ru

Received: 16/Oct/2011; Revised: 10/Nov/2012; Accepted: 27/Nov/2012

Fechas de Publicación

Publicación en esta colección
23 Abr 2013
Fecha del número
Ene 2013

Histórico

Recibido
16 Oct 2011
Revisado
10 Nov 2012
Acepto
27 Nov 2012

[1] [1] Kyurkchan, A.G. (2000) “Solution of vector scattering problems by the pattern equation method”, Journ Comm Tech and Electron 45: 970–975.

[2] [2] Kyurkchan, A.G.; Demin. D.B. (2002) “Electromagnetic wave diffraction from impedance scatterers with piecewise–smooth boundaries”, Journ Comm Tech and Electron 47: 856–863.

[3] [3] Kyurkchan, A.G.; Demin. D.B. (2004) “Simulation of wave scattering by bodies with an absorbing coating and Black Bodies”, Technical Physics 49: 165–173.

[4] [4] Kyurkchan, A.G.; Demin. D.B. (2004) “Pattern equation method for solving problems of diffraction of electromagnetic waves by axially dielectric scatterers”, JQSRT 89: 237–255.

[5] [5] Kyurkchan, A.G.; Demin. D.B.; Orlova, N.I. (2007) “Solution of scattering problems of electromagnetic waves from objects with dielectric covering using pattern equation method”, Journal of Commun. Techn. and Electron 52: 131–40.

[6] [6] Kyurkchan, A.G.; Demin. D.B.; Orlova, N.I. (2007) “Solution based on the pattern equation method for scattering of electromagnetic waves by objects coated with dielectric materials”, JQSRT 106: 192–202.

[7] [7] Kyurkchan, A.G.; Demin. D.B. (2009) “Solution of problem of electromagnetic waves scattering on inhomogeneously layered scatterers using pattern equation method”, JQSRT 110: 1345–1355.

[8] [8] Kyurkchan, A.G.; Demin. D.B. (2011) “Solution of problems of electromagnetic wave scattering by bodies with an anisotropic impedance with the help of the pattern equation method”, Journal of Commun. Techn. and Electron 56: 134–141.

[9] [9] Kyurkchan, A.G. (1999) “Excitation of a periodic ribbed structure possessing the properties of an artificially hard surface by a thread of current”, Journal of Commun. Techn. and Electron. 44: 731–737.

[10] [10] Kildal, P.-S. (1988) “Definition of artificially soft and hard surfaces for electromagnetic waves”, Electron. Lett. 24(3): 168–170.

[11] [11] Kildal, P.-S. (1990) “Artificially soft and hard surfaces in electromagnetics”, IEEE Transactions on Antennas and Propagation 38(10): 1537–1544.

[12] [12] Papas, C.H. (1965) Theory of Electromagnetic Wave Propagation. McGraw–Hill, New York.

[13] [13] Hizal, A.; Marincic, A. (1970) “New rigorous formulation of electromagnetic scattering from perfectly conducting bodies of arbitrary shape”, Proc. IEEE 117(8): 1639–1647.

[14] [14] Millar, R.F.; Burrows, M.L. (1969) “Rayleigh hypothesis in scattering problems”, Electron. Lett. 5: 416–418.

[15] [15] Kyurkchan, A.G. (1992) “A new integral equation in the diffraction theory”, Soviet Physics Doklady 37(7): 338–340.