PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 118 > pp. 243-251

EFFICIENT PROPER ORTHOGONAL DECOMPOSITION FOR BACKSCATTER PATTERN RECONSTRUCTION

By C.-F. Wang

Full Article PDF (278 KB)

Abstract:
A novel approach is presented for efficiently solving electromagnetic (EM) scattering problems using proper orthogonal decomposition (POD). As a proof of concept and demonstration of how to use the POD to solve EM scattering problems, two ways of implementing the POD procedure have been proposed and realized for calculating EM scattering from PEC targets. Numerical results obtained show that the POD is quite accurate for reconstructing backscatter patterns over wide range of frequencies and angles of interest based on the given snapshots.

Citation:
C.-F. Wang, "Efficient Proper Orthogonal Decomposition for Backscatter Pattern Reconstruction," Progress In Electromagnetics Research, Vol. 118, 243-251, 2011.
doi:10.2528/PIER11060102
http://www.jpier.org/PIER/pier.php?paper=11060102

References:
1. Jiao, D. and J. M. Jin, "Asymptotic waveform evaluation for broadband calculation," Fast and Efficient Algorithms in Computational Electromagnetics, W. C. Chew, et al. (eds.), Chapter 15, Artech House, 2001.

2. Pillage, L. T. and R. A. Rohrer, "Asymptotic waveform evaluation for timing analysis," IEEE Trans. CAD, Vol. 9, 352-366, Apr. 1990.

3. Polstyanko, S. V., R. Dyczij-Edlinger, and J.-F. Lee, "Fast frequency sweep technique for the efficient analysis of dielectric waveguides ," IEEE Trans. Microwave Theory Tech., Vol. 45, 1118-1126, Jul. 1997.
doi:10.1109/22.598450

4. Erdemli, Y. E., J. Gong, C. J. Reddy, and J. L. Volakis, "Fast RCS pattern fill using AWE technique," IEEE Trans. Antennas Propagat., Vol. 46, 1752-1753, Nov. 1998.
doi:10.1109/8.736639

5. Slone, R. D., 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, 1504-1513, Oct. 2001.
doi:10.1109/8.954940

6. Wei, X. C., 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, 605-607, Feb. 2004.
doi:10.1109/TAP.2004.823959

7. Ngoly, A. and S. McFee, "An efficient high-order extrapolation procedure for multiaspect electromagnetic scattering analysis," IEEE Trans. Magn., Vol. 44, No. 6, 750-753, Jun. 2008.
doi:10.1109/TMAG.2007.916126

8. Ling, F., D. Jiao, and J. M. Jin, "Efficient electromagnetic modeling of microstrip structures in multilayer media," IEEE Trans. Microwave Theory Tech., Vol. 47, No. 9, 1810-1818, Sep. 1999.
doi:10.1109/22.788516

9. Nie, X. C., N. Yuan, L. W. Li, and Y. B. Gan, "Fast analysis of RCS over a frequency band using pre-corrected FFT/AIM and asymptotic waveform evaluation technique," IEEE Trans. Antennas Propagat., Vol. 56, No. 11, 3526-3533, Nov. 2008.

10. Sirovich, L., "Turbulence and the dynamics of coherent structures Parts I-III ," Quart. App. Math., Vol. XLV, 561-571, 573-582, 583-590, 1987.

11. Chatterjee, A., "An introduction to the proper orthogonal decomposition," Current Science, Vol. 78, No. 7, 808-817, 2000.

12. Bui-Thanh, T., M. Damodaran, and K. Willcox, "Aerodynamic data reconstruction and inverse design using proper orthogonal decomposition ," AIAA Journal, Vol. 42, No. 8, 1505-1516, 2004.
doi:10.2514/1.2159

13. Mijalkovic, S., "Using frequency response coherent structures for model-order reduction in microwave applications," IEEE Trans. Microwave Theory Tech., Vol. 52, No. 9, 2292-2297, Sep. 2004.
doi:10.1109/TMTT.2004.834567

14. Lin, W. Z., Y. J. Zhang, and E. P. Li, "Proper orthogonal decomposition in reduced order model generation for microwave problem," 17th Int. Zurich Symp. on EMC, 223-226, 2006.

15. Zhang, J. M., C. F. Wang, and K. Y. Lum, Multidisciplinary design of S-shaped intake, 26th AIAA Appl. Aerodyn. Conf., 2008-7060, 2008.

16. Zhang, J. M., C. F. Wang, and K. Y. Lum, "Joint aerodynamics and electromagnetics design of S-shaped intake using proper orthogonal decomposition method," IEEE APS Int. Symp. Dig., 1-4, 2008.

17. Hu, F. G., C. F. Wang, and Y. B. Gan, "Efficient calculation of interior scattering from large three-dimensional PEC cavities," IEEE Trans. Antennas Propagat., Vol. 55, No. 1, 167-177, Jan. 2007.
doi:10.1109/TAP.2006.888456

18. Wang, C. F. and Y. B. Gan, "2D cavity modeling using method of moments and iterative solvers," Progress In Electromagnetics Research, Vol. 43, 123-142, 2003.
doi:10.2528/PIER03020802

19. Burkholder, R. J., "High-frequency asymptotic methods for analyzing the EM scattering by open-ended waveguide cavities," Ph.D. Thesis, Ohio State University, 1989.

20. Wang, C. F. and Y. B. Gan, "FAFFA-FIM for modeling of electromagnetic scattering from 2D large PEC cavity," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 6, 737-752, 2005.
doi:10.1163/1569393054069073


© Copyright 2014 EMW Publishing. All Rights Reserved