Hybrid UV/MLFMA Analysis of Scattering by PEC Targets above a Lossy Half-Space
Keywords:
Hybrid UV/MLFMA Analysis of Scattering by PEC Targets above a Lossy Half-SpaceAbstract
An efficient hybrid UV method and the multilevel fast multipole algorithm (MLFMA) is proposed for the analysis of scattering by arbitrary three-dimensional(3-D) perfect electric conductor (PEC) targets above a lossy half-space. The proposed method modifies the MLFMA based on the real-image representation of the half-space dyadic Green’s function. Unlike the original MLFMA, the interaction matrix of the UV/MLFMA is split into the “near” terms, the “intermediate” terms, and the “far” terms. The “near” terms are handled via the method of moments (MoM), the “intermediate” terms are handled via the UV method, and the “far” terms are handled via the MLFMA. The error arising from the approximation to the half-space dyadic Green’s function via the real-image representation in the “intermediate” terms can be avoided by using the UV matrix compression. The memory requirement and computational time of the “near” terms are also decreased significantly compared with the original MLFMA.
Downloads
References
T. J. Cui and W. C. Chew, “Fast Evaluation of
Sommerfeld Integrals for EM Scattering and
Radiation by Three-Dimensional Buried Objects,”
IEEE Trans. Geosci. Remote Sensing, vol. 37, pp.
-900, Mar. 1999.
R. S. Chen, W. Zhuang, D. X. Wang, and D. Z.
Ding, “A Robust Method for Determination the
Surface Waves Components of a Multilayered
Media,” Microw. Opt. Technol. Lett., vol. 51, no. 8,
pp.1923-1934, Aug. 2009.
R. Coifman, V. Rokhlin, and S.Wandzura, “The
Fast Multipole Method for the Wave Equation: A
Pedestrian Prescription,” IEEE Antennas Propag.
Mag., vol. 35, no. 3, pp. 7-12, Jun. 1993.
W. C. Chew, J. M. Jin, E. Michielssen, and J. M.
Song, Fast and Efficient Algorithms in
Computational Electromagnetics. Norwood, MA:
Artech House, 2001
H. Zhao, J. Hu, and Z. Nie, “Parallelization of
MLFMA with Composite Load Partition Criteria
and Asynchronous Communication,” Applied
Computational Electromagnetic Society (ACES)
Journal, vol. 25, no. 2, pp. 167-173, 2010.
H. Fangjing, Z. Nie, and J. Hu, “An Efficient
Parallel Multilevel Fast Multipole Algorithm for
Large-Scale Scattering Problems,” Applied
Computational Electromagnetic Society (ACES)
Journal, vol. 25, no. 4, pp. 381-387, 2010.
V. Jandhyala, “Fast Multilevel Algorithms for the
Efficient Electromagnetic Analysis of Quasi-Planar
Structures,” Ph.D. Dissertation, Dept. Elect.
Comput. Eng., Univ. Illinois, Urbana, 1998.
V. Jandhyala, B. Shanker, E. Michielssen, and W.
C. Chew, “A Fast Algorithm for the Analysis of
Scattering by Dielectric Rough Surfaces,” J Opt
Soc Amer A, Opt Image Sci, vol. 15, pp. 1877-1885,
V. Jandhyala, B. Shanker, E. Michielssen, and W.
C. Chew, “A Fast Algorithm for the Analysis of
Radiation and Scattering from Microstrip Arrays
on Finite Substrates,” Microw Opt Techno Let,. vol.
, no. 5, pp. 306-310, Dec. 1999.
N. Geng, A. Sullivan, and L. Carin, “Multilevel
Fast-Multipole Algorithm for Scattering from
Conducting Targets above or Embedded in a Lossy
Half Space,” IEEE Trans. Geosci. Remote
Sensing., vol. 38, pp.1561-1573, Jul. 2000.
Z. Liu, J. He, Y. Xie, A. Sullivan, and L. Carin,
“Multilevel Fast Multipole Algorithm for General
Targets on a Half-Space Interface,” IEEE Trans.
Antennas Propag., vol. 50, no. 12, pp. 1838-1849,
Dec. 2002.
R. S. Chen, Y. Q. Hu, Z. H. Fan, D. Z. Ding, D. X.
Wang, and E. K. N. Yung, “An Efficient Surface
Integral Equation Solution to EM Scattering by
Chiral Objects above a Lossy Half Space,” IEEE
Trans. Antennas Propag., vol. 57, no. 11, pp. 3586-
, Nov. 2009.
L. B. Felsen and N. Marcuvitz, Radiation and
Scattering of Waves. Piscataway, NJ: IEEE Press,
, ch. 4.
Y. Q. Hu, R. S. Chen, D. Z. Ding, and J. Q. Liu,
“MLFMA Analysis of Scattering by Conducting
Objects above a Lossy Half-Space,” 8th
International Symposium on Antennas Propag and
EM Theory pp.736-739, 2008.
S. Kapur and D. E. Long, “IES3: A Fast Integral
Equation Solver for Efficient 3-Dimensional Extraction,” Proc. IEEE/ACM Int. Conf.
Computer-Aided Design (ICCAD), San Jose, CA,
pp. 448-455, 1997.
W. Hackbusch and B. N. Khoromskij, “A Sparse
H-Matrix Arithmetic, Part II: Application to
Multidimensional Problems,” Computing, vol. 64,
pp. 21-47, 2000.
M. Bebendorf and S. Rjasanow, “Adaptive Low-
Rank Approximation of Collocation Matrices,”
Computing, vol. 70, pp. 1-24, 2003.
L. Tsang, Q. Li, P. Xu, D. Chen, and V. Jandhyala,
“Wave Scattering with UV Multilevel Partitioning
Method: 2. Three-Dimensional Problem of
Nonpenetrable Surface Scattering,” Radio Sci., vol.
, p. RS5011, 2004.
A. Heldring, J. M. Rius, and J. M. Tamayo,
“Comments on Fast Direct Solution of Method of
Moments Linear System,” IEEE Trans. Antennas
Propag., vol 58, no. 3, pp. 1015-1016, Mar. 2010.
M. I. Aksun, “A Robust Approach for the
Derivation of Closed-Form Green’s Functions,”
IEEE Tran. Microwave Theory Tech., vol. 44, no. 5,
pp. 651-658, May 1996.
C. -J. Ong and L. Tsang, “Full-Wave Analysis of
Large-Scale Interconnects using the Multilevel UV
Method with the Sparse Matrix Iterative Approach
(SMIA),” IEEE Trans. Adv. Packag., vol. 31, no. 4,
pp. 818-829, Nov. 2008 .
M. M. Li, J. J. Ding, D. Z. Ding, Z. H. Fan, and R.
S. Chen, “Multiresolution Preconditioned
Multilevel UV Method for Analysis of Planar
Layered Finite Frequency Selective Surface,”
Microw. Opt. Tech. Lett. , vol. 52, no. 7, pp. 1530-
, Jul. 2010.


