Vol. 34
Latest Volume
All Volumes
PIERB 109 [2024] PIERB 108 [2024] PIERB 107 [2024] PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2011-09-28
An Efficient Hybrid-Scheme Combining the Characteristic Basis Function Method and the Multilevel Fast Multipole Algorithm for Solving Bistatic RCS and Radiation Problems
By
Progress In Electromagnetics Research B, Vol. 34, 327-343, 2011
Abstract
A numerically efficient approach for the rigorous computation of bi-static scattering and radiation problems is presented. The approach is based on an improvement of a previous method scheme that combines the Characteristic Basis Function Method (CBFM) and the Multilevel Fast Multipole Algorithm (MLFMA). The approach combines Characteristic Basis Functions (CBFS) and subdomains functions for reducing the CPU time in the pre-process and in the solving iterative process for simple or multiple excitations. It is intended for use in very large cases where an iterative solution process cannot be avoided, even considering the matrix size reduction achieved by the CBFM. This reduction is particularly important for solving radiation or bistatic problems in which an integral equation is solved once.
Citation
Eliseo Garcia, Carlos Delgado, Lorena Plata Lozano, Ivan Gonzalez-Diego, and Felipe Catedra, "An Efficient Hybrid-Scheme Combining the Characteristic Basis Function Method and the Multilevel Fast Multipole Algorithm for Solving Bistatic RCS and Radiation Problems," Progress In Electromagnetics Research B, Vol. 34, 327-343, 2011.
doi:10.2528/PIERB11062204
References

1. Mittra, R. and K. Du, "Characteristic basis function method for iteration-free solution of large method of moments problems," Progress In Electromagnetics Research B, Vol. 6, 307-336, 2008.
doi:10.2528/PIERB08031206

2. Delgado, C., F. Catedra, and R. Mittra, "Application of the characteristic basis function method utilizing a class of basis and testing functions defined on NURBS patches ," IEEE Trans. Antennas and Propagation, Vol. 56, No. 3, Mar. 2008.
doi:10.1109/TAP.2008.916935

3. Chew, W. C., J. Jin, E. Michielssen, J. Song, and Ed., Fast and E±cient Algorithms in Computational Electromagnetics, Artech House Inc. , 2001.

4. Pan, X.-M. and X.-Q. Sheng, "A highly efficient parallel approach of multi-level fast multipole algorithm," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 8, 1081-1092, 2006.
doi:10.1163/156939306776930321

5. Wang, P. and Y. Xie, "Scattering and radiation problem of surface/surface junction structure with multilevel fast multipole algorithm," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 15, 2189-2200, 2006.
doi:10.1163/156939306779322567

6. Zhao, X.-W., C.-H. Liang, and L. Liang, "Multilevel fast multipole algorithm for radiation characteristics of shipborne antennas above seawater," Progress In Electromagnetics Research, Vol. 81, 291-302, 2008.
doi:10.2528/PIER08012003

7. Zhao, X.-W., X.-J. Dang, Y. Zhang, and C.-H. Liang, "The multilevel fast multipole algorithm for EMC analysis of multiple antennas on electrically large platforms," Progress In Electromagnetics Research, Vol. 69, 161-176, 2007.
doi:10.2528/PIER06121003

8. Garcia, E., C. Delgado, I. G. Diego, and M. F. Catedra, "An iterative solution for electrically large problems combining the characteristic basis function method and the multilevel fast multipole algorithm ," IEEE Trans. Antennas and Propagation, Vol. 56, No. 8, Aug. 2008.
doi:10.1109/TAP.2008.926781

9. Garcia, E., C. Delgado, I. G. Diego, and M. F. Catedra, "A parallel MLFMA-CBFM for the analysis of complex problems," ACES Conference, Mar. 2008.

10. Garcia, , E., C. Delgado, L. Lozano, and F. Catedra, "Analysis of the parameters of an approach that combines the characteristic basis function method and the multilevel fast multipole," IET Microwaves, Antennas and Propagation, Vol. 5, No. 4, 419-425, Mar. 11 2011.
doi:10.1049/iet-map.2010.0404

11. Encinar, J. A., "Design of two-layer printed reflectarrays using patches of variable size," IEEE Trans. Antennas and Propagation, Vol. 49, No. 10, Oct. 2001.
doi:10.1109/8.954929

12. Workshop EM ISAE 2008, Nov. 14 2008.