1. Joannopoulos, J. D., R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton University Press, 1995.
2. De Maagt, P., R. Gonzalo, Y. C. Vardaxoglou, and J.- M. Baracco, "Electromagnetic bandgap antennas and components for microwave and (sub)millimeter wave applications," IEEE Trans. Antennas Propag., Vol. 51, No. 10, 2667-2677, 2003.
doi:10.1109/TAP.2003.817566 Google Scholar
3. Fernandes, H. C. C., J. L. G. Medeiros, M. A. Isnaldo, Jr., and D. B. Brito, "Photonic crystal at millimeter waves applications," PIERS Online, Vol. 3, 689-694, 2007.
doi:10.2529/PIERS060901105337 Google Scholar
4. Qi, L., Z. Yang, Z. Liang, W. Liu, Y. Liu, and X. Gao, "Design of photonic crystal resonant cavity using overmoded dielectric photonic band gap structures," PIERS Online, Vol. 3, 379-381, 2007.
doi:10.2529/PIERS061007043414 Google Scholar
5. Luan, P.-G. and K.-D. Chang, "Photonic-crystal lens coupler using negative refraction," PIERS Online, Vol. 3, 91-95, 2007.
doi:10.2529/PIERS060905234755 Google Scholar
6. Fernandes, H. C. C. and G. D. F. Alves, "Multilayer planar resonators with superconductive patch on PBG substrate," PIERS Online, Vol. 3, 560-563, 2007.
doi:10.2529/PIERS060908155123 Google Scholar
7. Hwang, C. G. and N. H. Myung, "Novel phase noise reduction and harmonic improvement methods of an oscillator utilizing a CCPW EBG structure," PIERS Proceedings, Vol. '' S Proceedings, 2-5, 2006.
8. Fernandes, H. C. C.D. B. Brito, and J. L. G. Medeiros, "EBG substrate in unilateral fin line resonator," PIERS Proceedings, Vol. '' S Proceedings, 27-30, 2007.
9. Tomljenovic-Hanic, S., C. M. de Sterke, M. J. Steel, and D. J. Moss, "Design of high-Q cavities in photosensitive materialbased photonic crystal slab heterostructures," PIERS Online, Vol. 3, 233-235, 2007.
doi:10.2529/PIERS060907042030 Google Scholar
10. Boutayeb, H. and T. A. Denidni, "Analysis and design of a high-gain antenna based on metallic crystals," Journal of Electromagnetic Waves and Applications, Vol. 20, 599-614, 2006.
doi:10.1163/156939306776137755 Google Scholar
11. Sigalas, M. M., R. Biswas, Q. Li, D. Crouch, W. Leung, R. Jacobs- Woodbury, B. Lough, S. Nielsen, S. McCalmont, G. Tuttle, and K. M. Ho, "Dipole antennas on photonic band-gap crystals — Experiment and simulation," Microwave and Opt. Technol. Lett., Vol. 15, 153-158, 1997.
doi:10.1002/(SICI)1098-2760(19970620)15:3<153::AID-MOP10>3.0.CO;2-8 Google Scholar
12. Yang, F., V. Demir, D. A. Elsherbeni, A. Z. Elsherbeni, and A. A. Eldek, "Enhancement of printed dipole antennas characteristics us ing semi-EBG ground plane," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 8, 993-1006, 2006.
doi:10.1163/156939306776930330 Google Scholar
13. Yang, F. and Y. Rahmat-Samii, "Reflection phase characterizations of the EBG ground plane for low profile wire antenna applications," IEEE Trans. Antennas Propag., Vol. 51, No. 10, 2691-2703, 2003.
doi:10.1109/TAP.2003.817559 Google Scholar
14. Leung, W. Y., R. Biswas, S. D. Cheng, M. M. Sigalas, J. S. McCalmont, G. Tuttle, and K. M. Ho, "Slot antennas on photonic band gap crystals," IEEE Trans. Antennas Propag., Vol. 45, No. 8, 1569-1570, 1997.
doi:10.1109/8.633871 Google Scholar
15. Weily, A. R., L. Horvath, K. P. Esselle, B. C. Sanders, and T. S. Bird, "A planar resonator antenna based on a woodpile EBG material," IEEE Trans. Antennas and Propagat., Vol. 53, No. 1, 216-223, 2005.
doi:10.1109/TAP.2004.840531 Google Scholar
16. Gonzalo, R., P. de Maagt, and M. Sorolla, "Enhanced patchantenna performance by suppressing surface waves using photonicbandgap substrates," IEEE Trans. on Microwave Theory Tech., Vol. 47, No. 11, 2131-2138, 1999.
doi:10.1109/22.798009 Google Scholar
17. Coccioli, R., F. Yang, K. Ma, and T. Itoh, "Aperturecoupled patch antenna on UC-PBG substrate," IEEE Trans. on Microwave Theory Tech., Vol. 47, No. 11, 2123-2130, 1999.
doi:10.1109/22.798008 Google Scholar
18. Colburn, J. S. and Y. Rahmat-Samii, "Patch antennas on externally perforated high dielectric constant substrates," IEEE Trans. Antennas Propagat., Vol. 47, No. 12, 1785-1794, 1999.
doi:10.1109/8.817654 Google Scholar
19. Brown, E. R., C. D. Parker, and E. Yablonovith, "Radiation properties of a planar antenna on a photonic-crystal substrate," J. Opt. Soc. Am. B, Vol. 10, No. 2, 404-407, 1993. Google Scholar
20. Yang, F. and Y. Rahmat-Samii, "A low profile circularly polarized curl antenna over an electromagnetic bandgap (EBG) surface," Microw. Opt. Tech. Lett., Vol. 31, No. 4, 264-267, 2001.
doi:10.1002/mop.10006 Google Scholar
21. Thevenot, M., A. Reineix, and B. Jecko, "A dielectric photonic parabolic reflector," Microw. Opt. Tech. Lett., Vol. 21, No. 6, 411-414, 1999.
doi:10.1002/(SICI)1098-2760(19990620)21:6<411::AID-MOP5>3.0.CO;2-L Google Scholar
22. Li, L., C. H. Liang, and C. H. Chan, "Waveguide end-slot phased array antenna integrated with electromagnetic bandgap structures," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 2, 161-174, 2007.
doi:10.1163/156939307779378826 Google Scholar
23. Ganatsos, T., K. Siakavara, and J. N. Sahalos, "Neural networkbased design of EBG surfaces for effective polarization diversity of wireless communications antenna systems," PIERS Online, Vol. 3, No. 8, 1165-1169, 2007.
doi:10.2529/PIERS070215124728 Google Scholar
24. Hosseini, M.A. Pirhadi, and M. Hakkak, "Design of a nonuniform high impedance surface for a low profile antenna," PIERS Proceedings, Vol. '' S Proceedings, 26-29, 2006.
25. Fu, Y. Q., Q. R. Zheng, Q. Gao, and G. H. Zhang, "Mutual coupling reduction between large antenna arrays using electromagnetic bandgap (EBG) structures," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 6, 819-825, 2006.
doi:10.1163/156939306776143415 Google Scholar
26. Gonzalo, R., P. de Maagt, and M. Sorolla, "Enhanced patchantenna performance by suppressing surface waves using photonicbandgap substrates," IEEE Trans. on Microwave Theory Tech., Vol. 47, No. 11, 2131-2138, 1999.
doi:10.1109/22.798009 Google Scholar
27. Yang, H. Y. D., N. G. Alexopoulos, and E. Yablonovitch, "Photonic band-gap materials for high-gain printed circuit antennas," IEEE Trans. on Antennas and Propagat., Vol. 45, No. 1, 185-187, 1997.
doi:10.1109/8.554261 Google Scholar
28. Thevenot, M., C. Cheype, A. Reineix, and B. Jecko, "Directive photonic-bandgap antennas," IEEE Trans. Microwave Theory Tech., Vol. 47, No. 11, 2115-2122, 1999.
doi:10.1109/22.798007 Google Scholar
29. Cheype, C., C. Serier, M. Thevenot, T. Monediere, A. Reineix, and B. Jecko, "An electromagnetic bandgap resonator antenna," IEEE Trans. Antennas Propagat., Vol. 50, No. 9, 1285-1290, 2002.
doi:10.1109/TAP.2002.800699 Google Scholar
30. Frezza, F., L. Pajewski, P. Nocito, and G. Schettini, "FDTD analysis of EBG superstrates," 2007 IEEE Workshop on Computational Electromagnetics in Time-Domain (CEM-TD), 15-17, 2007. Google Scholar
31. Qiu, M. and S. He, "High-directivity patch antenna with both photonic bandgap substrate and photonic cover," Microw. Opt. Tech. Lett., Vol. 30, No. 1, 41-44, 2001.
doi:10.1002/mop.1214 Google Scholar
32. Enoch, S., G. Tayeb, and D. Maystre, "Dispersion diagrams of Bloch modes applied to the design of directive sources," Progress In Electromagnetic Research, Vol. 37, 61-81, 2002. Google Scholar
33. Enoch, S., G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, "A meta-material for directive emission," Phys. Rev. Lett., Vol. 89, No. 21, 213902, 2002.
doi:10.1103/PhysRevLett.89.213902 Google Scholar
34. Liu, Y., Z. Yang, Z. Liang, and L. Qi, "A memory-efficient strategy for the FDTD implementation applied to the photonic crystals problems," PIERS Online, Vol. 3, 374-378, 2007.
doi:10.2529/PIERS061002103800 Google Scholar
35. Lin, M.-C. and R.-F. Jao, "Finite element analysis of photon density of states for two-dimensional photonic crystals with in plane light propagation," PIERS Online, Vol. 3, 315-319, 2007.
doi:10.2529/PIERS061007113530 Google Scholar
36. Pendry, J. B. and A. MacKinnon, "Calculation of photon dispersion relations," Phys. Rev. Lett., Vol. 69, 2772-2775, 1992.
doi:10.1103/PhysRevLett.69.2772 Google Scholar
37. 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, 2003.
doi:10.1109/TMTT.2003.808696 Google Scholar
38. Abramowitz, M. and I. Stegun, Handbook of Mathematical Functions, Dover, 1972.
39. Sneddon, I. N., Mixed Boundary Value Problems in Potential Theory, North-Holland, 1966.
40. Balanis, C. A., Advanced Engineering Electromagnetics, John Wiley and Sons, 1989.
41. Di Vico, M., F. Frezza, L. Pajewski, and G. Schettini, "Scattering by a finite set of perfectly conducting cylinders buried in a dielectric half-space: a spectral-domain solution," IEEE Trans. on Antennas and Propagat., Vol. 53, No. 2, 719-727, 2005.
doi:10.1109/TAP.2004.841315 Google Scholar
42. Engheta, N. and R. W. Ziolkowski, Metamaterials: Physics and Engineering Explorations, Wiley-IEEE Press, 2006.