PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 129 > pp. 69-90

ANALYSIS OF ELECTROMAGNETIC PLANE WAVE SCATTERING FROM 2-D PERIODIC ARRANGEMENTS OF POSTS

By A. Kusiek, R. Lech, and J. Mazur

Full Article PDF (396 KB)

Abstract:
In the paper, the analysis of electromagnetic wave scattering from frequency selective surface is presented. The surface is composed of periodically arranged posts. The multimodal scattering matrix of such structure is derived and the transmission and reflection characteristic for the structure with arbitrary plane wave illumination are calculated. The exact full-wave theory based on the mode-matching method is applied to develop an efficient theory to analyze such structures. The validity and accuracy of the approach are verified by comparing the results with those obtained from alternative methods.

Citation:
A. Kusiek, R. Lech, and J. Mazur, "Analysis of Electromagnetic Plane Wave Scattering from 2-D Periodic Arrangements of Posts," Progress In Electromagnetics Research, Vol. 129, 69-90, 2012.
doi:10.2528/PIER12041302
http://www.jpier.org/PIER/pier.php?paper=12041302

References:
1. Wu, T. K., Frequency Selective Surfaces and Grid Array, Wiley, New York, 1995.

2. Munk, B. A., "Frequency Selective Surfaces: Theory and Design," Wiley, New York, 2000.

3. Khromova, I., I. Ederra, R. Gonzalo, and B. P. de Hon, "Symmet-rical pyramidal horn antennas based on EBG structures," Progress In Electromagnetics Research B, Vol. 29, 1-22, 2011.
doi:10.2528/PIERB11020403

4. Huang, M.-J., M.-Y. Lv, and Z. Wu, "Transmission upper bound of planar single-layer frequency selective surface," Progress In Electromagnetics Research B, Vol. 23, 15-38, 2010.
doi:10.2528/PIERB10042701

5. Xie, H.-H., Y.-C. Jiao, L.-N. Chen, and F.-S. Zhang, "An effective analysis method for EBG reducing patch antenna coupling," Progress In Electromagnetics Research Letters, Vol. 21, 187-193, 2011.

6. Veysi, M. and M. Shafaee, "EBG frequency response tuning using an adjustable air-gap," Progress In Electromagnetics Research Letters, Vol. 19, 31-39, 2010.

7. Xie, H.-H., Y.-C. Jiao, L.-N. Chen, and F.-S. Zhang, "Omnidirectional horizontally polarized antenna with EBG cavity for gain enhancement," Progress In Electromagnetics Research Letters, Vol. 15, 79-87, 2010.
doi:10.2528/PIERL10042207

8. Ren, L.-S., Y.-C. Jiao, J.-J. Zhao, and F. Li, "RCS reduction for a FSS-backed reflectarray using a ring element," Progress In Electromagnetics Research Letters, Vol. 26, 115-123, 2011.
doi:10.2528/PIERL11071201

9. Kong, Y. W. and S. T. Chew, "EBG-based dual mode resonator filter," IEEE Microwave and Wireless Components Letters, Vol. 14, No. 3, 124-126, Mar. 2004.
doi:10.1109/LMWC.2003.822570

10. Coccioli, R., F.-R. Yang, K.-P. Ma, and T. Itoh, "Aperture-coupled patch antenna on UC-PBG substrate," IEEE Transactions on Microwave Theory and Techniques, Vol. 47, No. 11, 2123-2130, Nov. 1999.
doi:10.1109/22.798008

11. Jandieri, V., K. Yasumoto, and Y.-K. Cho, "Rigorous analysis of electromagnetic scattering by cylindrical EBG structures," Progress In Electromagnetics Research, Vol. 121, 317-342, 2011.
doi:10.2528/PIER11090903

12. Kim, S.-H., T. T. Nguyen, and J.-H. Jang., "Reflection characteristics of 1-D EBG ground plane and its application to a planar dipole antenna," Progress In Electromagnetics Research, Vol. 120, 51-66, 2011.

13. Wang, X., M. Zhang, and S.-J. Wang, "Practicability analysis and application of PBG structures on cylindrical conformal microstrip antenna and array," Progress In Electromagnetics Research, Vol. 115, 495-507, 2011.

14. Lin, S. Y. and J. G. Fleming, "A three-dimensional optical photonic crystal," J. Lightwave Technol., Vol. 17, 1944-1947, 1999.
doi:10.1109/50.802977

15. Kushta, T. and K. Yasumoto, "Electromagnetic scattering from periodic arrays of two circular cylinders per unit cell," Progress In Electromagnetics Research, Vol. 29, 69-85, 2000.
doi:10.2528/PIER99103101

16. Pelosi, G., A. Cocchi, and A. Monorchio, "A hybrid FEM-based procedure for the scattering from photonic crystals illuminated by a Gaussian beam," IEEE Transactions on Antennas and Propagation, Vol. 48, 973-980, Jun. 2000.
doi:10.1109/8.865232

17. Yang, H. Y. D., "Finite difference analysis of 2-D photonic crystals," IEEE Transactions on Microwave Theory and Techniques, Vol. 44, 2688-2695, Dec. 1996.
doi:10.1109/22.554631

18. Frezza, F., L. Pajewski, and G. Schettini, "Characterization and design of two-dimensional electromagnetic band-gap structures by use of a full-wave method for diffraction gratings," IEEE Transactions on Microwave Theory and Techniques, Vol. 51, No. 3, 941-951, Mar. 2003.
doi:10.1109/TMTT.2003.808696

19. Wasylkiwskyj, W., "On the transmission coeffcient of an infinite grating of parallel perfectly conducting circular cylinders," IEEE Transactions on Antennas and Propagation, Vol. 19, No. 5, 704-708, Sep. 1971.
doi:10.1109/TAP.1971.1140011

20. Saleh, A. A. M., "An adjustable quasi-optical bandpass filter --Part I: Theory and design formulas," IEEE Transactions on Microwave Theory and Techniques, Vol. 22, No. 7, 728-734, Jul. 1974.
doi:10.1109/TMTT.1974.1128319

21. Yasumoto, K., H. Toyama, and T. Kushta, "S-matrix solution of electromagnetic scattering from periodic arrays of metallic cylinders with arbitrary cross section," IEEE Antennas and Wireless Propagation Letters, Vol. 3, 41-44, 2004.

22. Yasumoto, K., H. Toyama, and T. Kushta, "Accurate analysis of two-dimensional electromagnetic scattering from multilayered periodic arrays of circular cylinders using lattice sums technique," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 10, 2603-2611, Oct. 2004.
doi:10.1109/TAP.2004.834440

23. Tsang, L., J. A. Kong, and K.-H. Ding, "Scattering of Electromagnetic Waves: Theories and Applications," John Wiley and Sons, INC., New York, 2000.

24. Yasumoto, K. and K. Yoshitomi, "Effcient calculation of lattice sums for freespace periodic Green function," IEEE Transactions on Antennas and Propagation, Vol. 47, No. 6, 1050-1055, Jun. 1999.
doi:10.1109/8.777130

25. Lech, R. and J. Mazur, "Electromagnetic curtain effect and tunneling properties of multilayered periodic structures," IEEE Antennas and Wireless Propagation Letters, Vol. 7, 201-205, 2008.
doi:10.1109/LAWP.2008.919355

26. Kusiek, A. and J. Mazur, "Analysis of scattering from arbitrary configuration of cylindrical objects using hybrid finite-difference mode-matching method," Progress In Electromagnetics Research, Vol. 97, 105-127, 2009.
doi:10.2528/PIER09072804

27. Kusiek, A. and J. Mazur, "Application of hybrid finite-difference mode-matching method to analysis of structures loaded with axially-symmetrical posts," Microwave and Optical Technology Letters, Vol. 53, No. 1, 189-194, Jan. 2011.
doi:10.1002/mop.25644

28. Lech, R. and J. Mazur, "Analysis of circular cavity with cylindrical objects," IEEE Transactions on Microwave Theory and Techniques, Vol. 55, No. 10, 2115-2123, Oct. 2007.
doi:10.1109/TMTT.2007.906486

29. Yasumoto, K., Electromagnetic Theory and Applications for Photonic Crystals, CRC Press, New-York, 2005.
doi:10.1201/9781420026627

30. Stutzman, W. and Polarization in Electromagnetic Systems, Artech House, 1993.

31. Mrozowski, M. and J. Mazur, "General analysis of a parallel-plate waveguide inhomogeneously filled with gyromagnetic media," IEEE Transactions on Microwave Theory and Techniques, Vol. 34, No. 4, 388-395, Apr. 1986.
doi:10.1109/TMTT.1986.1133358


© Copyright 2014 EMW Publishing. All Rights Reserved