Surface Integral Equation Method for Scattering by DB Objects with Sharp Wedges
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Surface Integral Equation Method for Scattering by DB Objects with Sharp Wedges摘要
A surface integral equation method is used to analyze time-harmonic electromagnetic scattering by arbitrarily shaped three-dimensional DB objects with sharp wedges. At the DB boundary surface, the electric and magnetic flux densities D and B normal to the surface are zero. The DB boundary conditions are enforced by expanding the unknown equivalent surface current densities with divergence-free loop basis functions. The equations are tested with Galerkin’s method. The integral equation method is applied to investige field behavior at sharp DB wedges and the results are compared with the quasistatic solution in order to determine the accuracy of numerical solution at the sharp DB wedges.
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参考
A. Sihvola, P. Ylä-Oijala, and I. Lindell, “Scatter-
ing by PEMC (Perfect Electromagnetic Conductor)
Spheres using Surface Integral Equation Approach,”
ACES Journal, vol. 22, no. 2, pp. 236–249, 2007.
P. R. Kildal, A. Kishk, and Z. Sipus, “Introduction
to Canonical Surfaces in Electromagnetic Computa-
tions: PEC, PMC, PEC/PMC Strip Grid, DB Sur-
face,” 26th Annual Review of Progress in Applied
Computational Electromagnetics, Tampere, Finland,
, pp. 514–519.
P.-S. Kildal, “Definition of Artificially Soft and Hard
Surfaces for Electromagnetic Waves,” Electronics
Letters, vol. 24, pp. 168–170, Feb. 1988.
P.-S. Kildal, “Artificially Soft and Hard Surfaces in
Electromagnetics,” IEEE Trans. Antennas and Prop-
agation, vol. 38, pp. 1537 –1544, Oct. 1990.
I. V. Lindell and A. H. Sihvola, “Electromagnetic
Boundary and Its Realization with Anisotropic Meta-
material,” Physical Review E (Statistical, Nonlinear,
and Soft Matter Physics), vol. 79, no. 2, p. 026604,
I. V. Lindell and A. H. Sihvola, “Spherical Resonator
with DB-Boundary Conditions,” Progress In Elec-
tromagnetics Research Letters, vol. 6, pp. 131–137,
A. Sihvola, H. Wallén, P. Ylä-Oijala, M. Taskinen,
H. Kettunen, and I. V. Lindell, “Scattering by DB
Spheres,” Antennas and Wireless Propagation Let-
ters, IEEE, vol. 8, pp. 542–545, 2009.
J. Markkanen, P. Ylä-Oijala, and A. Sihvola, “Com-
putation of Scattering by DB Objects with Surface
Integral Equation Method,” IEEE Trans. Antennas
and Propagation, vol. 59, pp. 154 –161, Jan. 2011.
J. G. Van Bladel, Electromagnetic Fields. Wiley In-
terscience, 2nd ed., 2007.
J. D. Jackson, Classical Electrodynamics. John Wi-
ley & Sons, 3rd ed., 1998.
J. A. Stratton, Electromagnetic Theory. McGraw-
Hill Company, New York, London, 1941.
M. Taskinen and P. Ylä-Oijala, “Current and Charge
Integral Equation Formulation,” IEEE Trans. Anten-
nas and Propagation, vol. 54, pp. 58–67, Jan. 2006.
P. Ylä-Oijala and M. Taskinen, “Application of Com-
bined Field Integral Equation for Electromagnetic
Scattering by Dielectric and Composite Objects,”
IEEE Trans. Antennas and Propagation, vol. 53,
pp. 1168 – 1173, Mar. 2005.
R. F. Harrington, Field Computation by Moment
Methods. IEEE press, New York, 1993.
G. Vecchi, “Loop-Star Decomposition of Basis Func-
tions in the Discretization of the EFIE,” IEEE Trans.
Antennas and Propagation, vol. 47, pp. 339 –346,
Feb. 1999.
S. Järvenpää, M. Taskinen, and P. Ylä-Oijala, “Sin-
gularity Subtraction Technique for High-Order Poly-
nomial Vector Basis Functions on Planar Triangles,”
IEEE Trans. Antennas and Propagation, vol. 54,
pp. 42 – 49, Jan. 2006.
S. Rao, D. Wilton, and A. Glisson, “Electromagnetic
Scattering by Surfaces of Arbitrary Shape,” IEEE
MARKKANEN, YLÄ-OIJALA, SIHVOLA: SURFACE INTEGRAL EQUATION METHOD FOR SCATTERING BY DB OBJECTS WITH SHARP WEDGES
Trans. Antennas and Propagation, vol. 30, pp. 409–
, May 1982.
P. Ylä-Oijala, M. Taskinen, and S. Järvenpää, “Anal-
ysis of Surface Integral Equations in Electromagnetic
Scattering and Radiation Problems,” Engineering
Analysis with Boundary Elements, vol. 32, pp. 196–
, 2008.
