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Progress In Electromagnetics Research
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SCATTERING FROM A FREQUENCY SELECTIVE SURFACE SUPPORTED BY A BIANISOTROPIC SUBSTRATE

By G. Kristensson, M. Åkerberg, and S. Poulsen

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Abstract:
In this paper a method for the analysis of a frequency selective surface (FSS) supported by a bianisotropic substrate is presented. The frequency selective structure is a thin metallic pattern - the actual FSS - on a plane supporting substrate. Integral representations of the fields in combination with the method of moments carried out in the spatial Fourier domain are shown to be a fruitful way of analyzing the problem with a complex substrate. This approach results in a very general formulation in which the supporting substrate can have arbitrary bianisotropic properties. The bianisotropic slab can be homogeneous,stratified, or it can have continuously varying material parameter as a function of depth. The analysis presented in this paper is illustrated in a series of numerical examples. Results for isotropic,anisotropic and bianisotropic substrates are given.

Citation: (See works that cites this article)
G. Kristensson, M. Åkerberg, and S. Poulsen, "Scattering from a Frequency Selective Surface Supported by a Bianisotropic Substrate," Progress In Electromagnetics Research, Vol. 35, 83-114, 2002.
doi:10.2528/PIER01022302
http://www.jpier.org/PIER/pier.php?paper=0102232

References:
1. Bostrom, A., G. Kristensson, and S. Strom, "Transformation properties of plane,spherical and cylindrical scalar and vector wave functions," Field Representations and Introduction to Scattering, Acoustic, Electromagnetic and Elastic Wave Scattering, V. V. Varadan, A. Lakhtakia, and V. K. Varadan (eds.), Chapter 4, 165–210, Elsevier Science Publishers, Amsterdam, 1991.

2. Buris, N. E., T. B. Funk, and R. S. Silverstein, "Dipole arrays printed on ferrite substrates," IEEE Trans. Antennas Propagat., Vol. 41, No. 2, 165-176, February 1993.
doi:10.1109/8.214607

3. Campos, A. L. P. S., M. A. B. Melo, and A. G. d’Assuncao, "Frequency-selective surfaces with rectangular apertures on uniaxial anisotropic substrates," Microwave Opt. Techn. Lett., Vol. 25, No. 2, 126-129, April 2000.
doi:10.1002/(SICI)1098-2760(20000420)25:2<126::AID-MOP13>3.0.CO;2-T

4. Chang, T. K., R. J. Langley, and E. A. Parker, "Frequency-selective surfaces on biased ferrite substrates," Electronics Letters, Vol. 30, No. 15, 1193-1194, 1994.
doi:10.1049/el:19940823

5. Cwik, T. A. and R. Mittra, "The cascade connection of planar periodic surfaces and lossy dielectric layers to form an arbitrary periodic screen," IEEE Trans. Antennas Propagat., Vol. 35, No. 12, 1397-1405, December 1987.
doi:10.1109/TAP.1987.1144054

6. Cwik, T. A. and R. Mittra, "Correction to ‘The cascade connection of planar periodic surfaces and lossy dielectric layers to form an arbitrary periodic screen’," IEEE Trans. Antennas Propagat., Vol. 36, No. 9, 1335, September 1988.

7. Ege, T., "Scattering by a two dimensional periodic array of conducting rings on a chiral slab," IEEE Antennas and Propagation Society International Symposium, Vol. 3, 1667-1670, 1996.

8. Ishimaru, A., Electromagnetic Wave Propagation, Radiation, and Scattering, Prentice-Hall, Inc., Englew ood Cliffs, New Jersey, 1991.

9. Karlsson, A. and G. Kristensson, "Electromagnetic scattering from subteranean obstacles in a stratified ground," Radio Sci., Vol. 18, No. 3, 345-356, 1983.
doi:10.1029/RS018i003p00345

10. Koca, A. O. and T. Ege, "Effects of chiral loading on a frequency selective surface comprised of a two dimensional array of crossed dipoles," IEEE Antennas and Propagation Society International Symposium, Vol. 2, 1464-1467, 1996.

11. Koca, A. O. and T. Ege, "The reflection and transmission characteristics of a frequency selective surface comprising of crossed dipoles on a chiral substrate," Electrotechnical Conference MELECON ’96, 8th Mediterranean, Vol. 1, 531-533, 1996.

12. Kristensson, G., "Electromagnetic scattering from buried inhomogeneities a general three-dimensional formalism," J. Appl. Phys., Vol. 51, No. 7, 3486-3500, 1980.
doi:10.1063/1.328201

13. Kristensson, G., "The electromagnetic field in a layered earth induced by an arbitrary stationary current distribution," Radio Sci., Vol. 18, No. 3, 357-368, 1983.
doi:10.1029/RS018i003p00357

14. Li, G., Y. Chan, T. Mok, and J. Vardaxoglou, "Analysis of frequency-selective surfaces on a biased ferrite substrate," Int. Journal of Electronics, Vol. 78, No. 6, 1159-1175, 1995.
doi:10.1080/00207219508926241

15. Li, G., Y. Chan, T. Mok, and J. Vardaxoglou, "Analysis of frequency selective surfaces on biased ferrite substrate," IEEE Antennas and Propagation Society International Symposium, Vol. 3, 1636-1639, 1995.

16. Liu, Y., C. G. Christodoulou, and P. F. Wahid, "Analysis of frequency selective surfaces with ferrite substrates," IEEE Antennas and Propagation Society International Symposium, Vol. 3, 1640-1643, 1995.

17. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, Vol. 2, McGraw-Hill, New York, 1953.

18. Munk, B., Frequency Selective Surfaces: Theory and Design, John Wiley & Sons, New York, 2000.
doi:10.1002/0471723770

19. Norgren, M. and S. He, "Electromagnetic reflection and transmission for a dielectric-Q interface and a Q slab," Int. J. Infrared and MM Waves, Vol. 15, No. 9, 1537-1554, 1994.
doi:10.1007/BF02096095

20. Poulsen, S., "Scattering from frequency selective surfaces: A continuity condition for entire domain basis functions and an improved set of basis functions for crossed dipoles,", Technical Report LUTEDX/(TEAT-7073)/1-23/(1998), Lund Institute of Technology, Department of Electromagnetic Theory, P. O. Box 118, S-211 00 Lund, Sweden, 1998.

21. Rikte, S., M. Andersson, and G. Kristensson, "Homogenization of woven materials," Archiv fur Elektronik und Ubertragungstechnik (AEU), Vol. 53, No. 5, 261-271, 1999.

22. Rikte, S., G. Kristensson, and M. Andersson, "Propagation in bianisotropic media — reflection and transmission,", Technical Report LUTEDX/(TEAT-7067)/1–31/(1998), Lund Institute of Technology, Department of Electromagnetic Theory, P. O. Box 118, S-211 00 Lund, Sweden, 1998.

23. Shaker, J. and L. Shafai, "Reduced angular sensitivity frequency-selective surface," Electronics Letters, Vol. 29, No. 18, 1655-1657, 1993.
doi:10.1049/el:19931102

24. Strom, S., "Itroduction to integral representations and integral equations for time-harmonic acoustic,electromagnetic and elastodynamic wave fields," Field Representations and Introduction to Scattering, Acoustic, Electromagnetic and Elastic Wave Scattering, V. V. Varadan, A. Lakhtakia, and V. K. Varadan (eds.), Chapter 2, 37–141. Elsevier Science Publishers, Amsterdam, 1991.

25. Vardaxoglou, J. C., Frequency Selective Surfaces (Analysis and Design), Research Studies Press, 1997.

26. Wu, T. K. (ed.), Frequency Selective Surface and Grid Array, John Wiley & Sons, New York, 1995.


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