Numerical evaluation of the Green's functions for arbitrarily shaped enclosures
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Gómez Díaz, Juan Sebastián; Martínez Mendoza, Mónica; Quesada Pereira, Fernando Daniel; Pascual García, Juan; Pérez Soler, Francisco J.; [et al.]Research Group
Grupo de Electromagnetismo Aplicado a las Telecomunicaciones (GEAT)Knowledge Area
Teoría de la Señal y las ComunicacionesSponsors
This work has been supported by Spanish National project CICYT-TEC2004-043 13-C02-02/TCM, and by Fundacion Séneca project, Ref. 02972/PI/05Publication date
2007-06Publisher
Institute Electrical and Electronics Engineers (IEEE)Bibliographic Citation
GÓMEZ DÍAZ, Juan Sebastián et al. Numerical evaluation of the Green's functions for arbitrarily shaped enclosures. En: IEEE/MTT-S International Microwave Symposium (2007: Honolulu, HI ) IEEE/MTT-S International Microwave Symposium, 2007. Honolulu, HI : Institute Electrical and Electronics Engineers, 2007. Pp. 1947 - 1950. ISBN 1-4244-0688-9Keywords
CavidadesFunciones de Green
Circuitos impresos
Filtros de guía de onda
Onda guía
Cavities
Printed Circuit
Waveguide filter
Waveguide
Green's functions
Abstract
In this paper, a new spatial method has been implemented for the efficient calculation of the mixed potential Green's functions associated to electrical sources, when they are placed inside arbitrarily-shaped cylindrical cavities. The technique consists of placing electric dipole images and charges outside the cavity, imposing, at discrete points of the metallic wall, the appropriate boundary conditions for the potentials. Results show that the numerical convergence is attained fast. The cut-off frequencies and potential patterns for a trapezium-shaped waveguide are compared to those obtained by a standard finite elements technique, showing excellent agreement. Furthermore, a printed planar filter shielded in a square cavity has been analyzed with the new Green's functions, showing the practical value of the new theory.
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