volume | PIER Journals

Abstract

Investigation on dielectric frequency selective structure with arbitrary shaped grating is done numerically for filter applications. To obtain well designed parameters, the effects of shape, size and dielectric constant of the structure are carefully studied. We examine in detail various structures and their spectral response which have not been reported by other authors. It is also shown how the frequency selective behavior of the structure can be controlled to meet a specific purpose for narrow linewidth filtering for normal incident angle. Results obtained for the scattering of several dielectric frequency selective surfaces are compared with both theoretical and experimental results presented in the literature, showing very good agreement. The effect of arbitrary angle of incidence is also shown to excite higher-order Floquet modes that affect the filtering properties.

1. Petit, R., Electromagnetic Theory of Grating, Springer-Verlag, 1980.

2. Yeh Optical Waves in Layered Media, John Wiley & Sons, 1988.

3. Tibuleac, S., R. Magnusson, T. A. Maldonado, P. P. Young, and T. R. Holzheimer, "Dielectric frequency-selective structures incorporating waveguide gratings," IEEE Trans. on Microwave Theory and Tech, Vol. 48, No. 4, 553-561, 2000.

4. Ishimaru, A., Electromagnetic Wave Propagation, Radiation, and Scattering, Prentice Hall, 1991.

5. Gerini, G. and L. Zappelli, "Multilayer array antennas with integrated frequency selective surfaces conformal to a circular cylindrical surface," IEEE Trans. on Antennas and Propagat., Vol. 53, No. 6, 2020-2030, 2005.

6. Pelosi, G., A. Cocchi, and A. Monorchio, "A hybrid FEM-based procedure for the scattering from photonic crystals illuminated by a gaussian beam," IEEE Trans. on Antennas and Propagat., Vol. 48, No. 6, 973-980, 2000.

7. Popov, E. and B. Bozhkov, "Differential method applied for photonic crystals," Appl. Opt., Vol. 39, No. 27, 4926-4932, 2000.

8. Koshiba, M., Y. Tsuji, and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuits," J. Lightwave Technol., Vol. 18, No. 1, 102-110, 2000.

9. Ikuno, H. and Y. Naka, "Finite-difference time domain method applied to photonic crystals," Electromagnetic Theory and Applications for Photonic Crystals, 401-443, 2006.

10. Coves, A., B. Gimeno, J. Gil, M. V. Andres, A. A. San Blas, and V. E. Boria, "Full-wave analysis of dielectric frequency-selective surfaces using a vectorial modal method," IEEE Trans. on Antennas , Vol. 60, No. 6, 2760-2769, 2012.

12. Zappelli, L., "Analysis of modified dielectric frequency selective surfaces under 3-D plane wave excitation using a multimode equivalent network approach," IEEE Trans. on Antennas and Propagat., Vol. 57, No. 4, 1105-1114, 2009.

13. Zappelli, L., "Modified dielectric frequency selective surfaces with enlarged bandwidth and angular stability," IEEE Trans. on Antennas and Propagat., Vol. 59, No. 10, 3668-3678, 2011.

14. Yokota, M. and M. Sesay, "Two-dimensional scattering of a plane wave from a periodic array of dielectric cylinders with arbitrary shape," J. Opt. Soc. Am. A, Vol. 25, No. 7, 1691-1696, 2008.

15. Harrington, R., Field Computation by Moment Methods, IEEE Press, 1993.

16. Wang, S. S., R. Magnusson, J. S. Bagby, and M. G. Moharam, "Guided-mode resonances in planar dielectric-layer diffraction gratings," J. Opt. Soc. Am. A, Vol. 7, No. 8, 1470-1474, 1990.

17. Magnusson, R. and S. S. Wang, "Transmission bandpass guided-mode resonance filters," Applied Optics, Vol. 34, No. 35, 8106-8109, 1995.

18. Yasumoto, K. and K. Yoshitomi, "Effcient calculation of lattice sums for free-space periodic Green's function," IEEE Trans. on Antennas and Propagat., Vol. 47, No. 6, 1050-1055, 1999.

19. Lampe, R., P. Klock, and P. Mayes, "Integral transforms useful for the accelerated summation of periodic, free-space Green's functions," IEEE Trans. on Microwave Theory and Tech., Vol. 33, No. 8, 734-736, 1985.

20. Amitay, N., V. Galindo, and C. P. Wu, "Theory and Analysis of Phased Array Antennas," Wiley-Interscience, 1972.

21. Wu, T. K., Frequency Selective Surface and Grid Array, John Wiley & Sons, 1995.

22. Munk, B. A., R. J. Leubers, and R. D. Fulton, "Transmission through a two-layer array of loaded slots," IEEE Trans. on Antennas and Propagat., Vol. 22, No. 6, 5804-5809, 1974.

23. Johansson, F. S., "Analysis and design of double-layered frequency selective surfaces," IEE Proc., Vol. 132, 319-325, 1985.

Dr. Maurice Sesay

Dr. Xin Jin

Dr. Zhengbiao Ouyang