Using Adaptive Cross Approximation for Efficient Calculation of Monostatic Scattering with Multiple Incident Angles
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Using Adaptive Cross Approximation for Efficient Calculation of Monostatic Scattering with Multiple Incident AnglesAbstract
An adaptive cross approximation (ACA) based method is proposed for the fast analysis of the monostatic radar cross-section (RCS). Using the low-rank property, several largest eigenvalues and corresponding eigenvectors of the multiple right hand sides can be computed and saved efficiently by the ACA algorithm. The iterative solution of linear equations is required at these principle eigenvectors. Compared with solving linear equations at each angle repeatedly, the proposed method is able to greatly reduce the computation time. In order to efficiently solve the linear equations, the flexible general minimal residual (FGMRES) iterative solver is applied to compute the coefficients of Rao-Wilton-Glisson (RWG) basis functions. Numerical results demonstrate that the proposed method is efficient for monostatic RCS calculation with high accuracy.
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References
R. F. Harrington, Field computation by
moment methods, Malabar, Fla.: R. E. Krieger,
W. C. Chew, J. M. Jin, E. Michielssen, and J.
M. Song, Fast and Efficient Algorithms in
Computational Electromagnetics. Boston,
MA: Artech House, 2001.
J. M. Song, C. C. Lu, and W. C. Chew,
“Multilevel Fast Multipole Algorithm for
Electromagnetic Scattering by Large Complex
Objects,” IEEE Trans . Antennas Propagat.,
vol. 45, no. 10, pp. 1488-1493, 1997.
Y. E. Erdemli, J. Gong, C. J. Reddy, and J. L.
Volakis. “Fast RCS Pattern Fill Using AWE
Technique,” IEEE Trans . Antennas Propagat,
vol. 46, no. 11, pp. 1752-1753, 1998.
R. D. Slong, R. Lee, and J. F. Lee. “Multipoint
Galerkin Asymptotic Waveform Evaluation for
Model Order Reduction of Frequency Domain
FEM Electromagnetic Radiation Problems,”
IEEE Trans . Antennas Propagat, vol. 49, no.
, pp. 1504-1513, 2001.
X. C. Wei, Y. J. Zhang, and E. P. Li. “The
Hybridization of Fast Multipole Method with
Asymptotic Waveform Evaluation for the Fast
Monostatic RCS Computation,” IEEE Trans.
Antennas Propagat, vol. 52, no. 2, pp. 605-
, 2004.
Z. W. Liu, R. S. Chen, and J. Q. Chen,
“Adaptive Sampling Cubic-Spline
Interpolation Method for Efficient Calculation
of Monostatic RCS,” Micro. Opt. Tech. Lett.
vol. 50, no. 3, pp. 751-755, 2008.
Z. W. Liu, D. Z. Ding, Z. H. Fan, and R. S.
Chen, “Adaptive Sampling Bicubic Spline
Interpolation Method for Fast Computation of
Monstatic RCS,” Micro. Opt. Tech. Lett. vol.
, no. 7, pp. 1851-1857, 2008.
Z. Q. Zhao, C. H. Ahn, and L. Carin,
“Nonuniform Frequency Sampling with
Active Learning: Application to Wide-Band
Frequency-Domain Modeling and Design,”
IEEE Trans. Antennas Propagat, vol. 53, no.
, pp. 3049-3057, 2005.
Z. Q. Zhao, Z. P. Nie, and L. Carin, “Active
Learning Applied to RCS Computations with
Nonuniform Sampling using Different
Objective Functions,” IEEE Trans. Antennas
Propagat, vol. 55, no. 4, pp. 1214-1217,
Per Lotstedt and Martin Nilsson, “A Minimal
Residual Interpolation Method for Linear
Equations with Multiple Right-Hand Sides,”
SIAM Journal on Scientific Computing, vol.
, pp. 2126-2144, 2004.
J. M. Rius, E. Ubeda, and J. Parron, “On the
Testing of Magnetic Field Integral Equation
with RWG Basis Functions in Method of
Moments,” IEEE Trans . Antennas Propagat,
vol. 49, no. 11, pp. 1550-1554, 2001.
S. M. Rao, D. R. Wilton, and A. W. Glisson,
“Electromagnetic Scattering by Surfaces of
Arbitrary Shape,” IEEE Trans. Antennas
Propagat, vol. 30, no. 3, pp. 409-418, 1982.
Y. Saad and M. Schultz, “GMRES: A
Generalized Minimal Residual Algorithm for
Solving Nonsymmetric Linear Systems,”
SIAM J. Sci. Stat. Comput., vol. 7, no. 3, pp.
-869, 1986.
V. Simoncini and D. B. Szyld, “Flexible
Inner-Outer Krylov Subspace Methods,”
SIAM J. Numer. Anal., vol. 40, no. 6, pp.
-2239, 2003.
A. C. Woo, Helen T. G. Wang, and M. J.
Schuh. “Benchmark Radar Targets for the
Validation of Computational
Electromagnetics Programs,” IEEE Trans.
Antennas Propagat, vol. 35, no. 1, pp. 84-89,
S. Kurz, O. Rain, and S. Rjasanow, “The
Adaptive Cross-Approximation Technique
for the 3-D Boundary-Element Method,”
IEEE Trans. Magnetics, vol. 38, no. 2, pp.
-424, 2002.
Venkatarayalu, N. V., Yeow-Beng Gan,
Kezhong Zhao, and Jin-Fa Lee, “Fast
Monostatic RCS Computation in FEM Based
Solvers using QR Decomposition,” Antennas
ACES JOURNAL, VOL. 26, NO. 4, APRIL 2011
and Propagation, EuCAP 2006, First
European Conference on, pp. 1-5, 6-10, 2006.
Shaeffer, J., “Direct Solve of Electrically
Large Integral Equations for Problem Sizes to
M Unknowns,” IEEE Trans. Antennas and
Propagation, vol. 56, no. 8, pp. 2306-2313,
E. K. Miller, “Using Adaptive Estimation to
Minimize the Number of Samples Needed to
Develop a Pattern to a Specified
Uncertainty,” Applied Computational
Electromagnetic Society (ACES) Journal,
vol. 17, no. 3, pp. 176-186, 2002.
G. K. Carvajal, D. J. Duque, and A. J.
Zozaya, “RCS Estimation of 3D Metallic
Targets Using the Moment Method and Rao-
Wilton-Glisson Basis Functions,” Applied
Computational Electromagnetic Society
(ACES) Journal, vol. 24, no. 5, pp. 487-492,
M. D. Pocock and S. P. Walker, “Iterative
Solution of Multiple Right Hand Side Matrix
Equations for Frequency Domain Monostatic
Radar Cross Section Calculations,” Applied
Computational Electromagnetic Society
(ACES) Journal, vol. 13, no. 1, pp. 4-13,
