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PIERS Online
Vol. 4
No. 5
2008
pp: 501-505Singular Analytical Integration for Efficient Volume Integral Equation ImplementationF. J. Perez Soler, Fernando D. Quesada Pereira, Alejandro Alvarez Melcon, and L. Peregrini doi:10.2529/PIERS071219124800 Downloads: 759 Abstract:We present a novel efficient implementation of the Volume Integral Equation formulation, for the analysis of printed circuits with finite size dielectric objects. The singularity of the Green's functions is extracted from the kernel of the integral equation, as static terms. These terms are then evaluated analytically for coincident rectangular cells in two and three dimensions. A semi-analytical formulation is also derived for the interactions involving adjacent cells. Results show the gain in efficiency and accuracy that can be obtained in the frame of the Volume Integral Equation formulation, when the new analytical techniques are used.References:1. Pereira, F. Q., J. L. G. T. D. C. Rebenaque, J. P. Garcia, and A. A. Melcon, "Analysis of finite microstrip structures using an efficient implementation of the integral equation technique," Radio Science, Vol. 2004rs003036, January, 2005. 2. Arcioni, P., M. Bressan, and L. Perregrini, "On the evaluation of the double surface integrals arising in the application of the boundary integral method to 3-d problems," IEEE Transactions on Microwave Theory and Techniques, Vol. 45, No. 3, 436-439, 1997. 3. Thomas, J. B., "An integral equation approach to the analysis of finite microstrip antennas: Volumen/surface formulation," IEEE Transactions on Antennas and Propagation, Vol. 38, No. 3, 305-312, March, 1990. 4. Soler, F. P., F. Q. Pereira, A. A. Melcon, V. B. Esbert, and B. G. Martinez, "Efficient software tool for the analysis of planar based metamaterial structures," EuCAP, European Conference on Antennas and Propagation, 1-7, IET, Edinburgh, UK, November 11-16, 2007. |
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