Interpolation Algorithm for Fast Evaluation of EM Coupling between Wires
关键词:
Interpolation Algorithm for Fast Evaluation of EM Coupling between Wires摘要
Efficient and accurate evaluation of the EM field radiated by a current flowing along a wire is essential to solve the electromagnetic coupling between arbitrary oriented wires. In this paper, a numerically efficient algorithm for the evaluation of coupling is presented. The currents along the wires are expressed in terms of local basis functions. The coupling between each two expansion functions of different wires, using an exact kernel and the Galerkin Method of Moments, requires an integration over the mantle of the radiating element and an integration over the mantle of the receiving element. The computational cost for this 2 × 2D integration is reduced by an interpolation technique. In order to reduce the number of evaluation points and to control accuracy, the interpolation technique is applied to a function that represents the difference between the electric field radiated by a wire element and the analytically known point dipole field. The proposed algorithm is implemented using already available standard routines.
##plugins.generic.usageStats.downloads##
参考
R. F. Harrington, Field Computation by Moment
Methods, IEEE Press, New York, 1993.
A. G. Tijhuis, Z. Q. Peng, and A. Rubio Bretones,
“Transient excitation of a straight thin–wire segment:
a new look at an old problem,” IEEE Trans. on
Antennas and Propag., vol. 40, no. 1, pp. 1132–
, 1992.
C. M. Butler and D. R. Wilton, “Analysis of various
numerical techniques applied to thin wire scatterers,”
IEEE Trans. on Antennas and Propag., vol. 23, no.
, pp. 534–540, 1975.
P. J. Davies, D. B. Duncan, and S. A. Funken, “Ac-
curate and efficient algorithms for frequency domain
scattering from a thin wire,” Journal of Computa-
tional Physics, vol. 168, no. 1, pp. 155–183, 2001.
C. Marasini, E. S. A. M. Lepelaars, and A. P.
M. Zwamborn, “Analysis of the resonant behavior of a
complex loaded wire by using the exact kernel MoM,”
Proc. of 9th Int. Conf. on Electromagnetics in Ad-
vanced Applications - ICEAA 05, 12–16 Sept. 2005,
Torino, Italy, 2005.
L. Xu, et al., “Spatial interpolation method for so-
lution of electromagnetic scattering from objects lo-
cated in half–space,” Proc. of 4th Int. Conf. on Mi-
crowave and Millimeter Wave Technology - ICMMT
, 18–21 Aug. 2004, Beijing, China, 2004.
A. Boag, E. Michielssen, and A. Brandt, “Nonuniform
polar grid algorithm for fast field evaluation,” IEEE
Antennas and Wireless Propag. Let., vol. 1, no. 1,
pp. 142–145, 2002.
H. G. Espinosa, et al., “Multilevel field interpolation
algorithm for large PEC objects,” Proc. of European
Conf. on Antenna and Propagation - EuCAP 2006,
–10 Nov. 2006, Nice, France, 2006.
J. Berntsen, T. O. Espelid, and A. Genz, “An adapta-
tive multidimensional integration routine for a vector
of integrals,” ACM Trans. Math. Software, vol. 17,
pp. 452–456, 1991.
NAG Fortran Library Manual Set, Numerical Algo-
rithms Group Ltd., Oxford.
