volume | PIER Journals

Abstract

Dispersion characteristics of two types of two-dimension dielectric plasma photonic crystal are studied based on modified plane wave method. Firstly, the eigenvalue equations of TM mode of type-1 and type-2 structures are derived respectively; their dispersion curves are confirmed by the software simulation. Secondly, the influences of normalized plasma frequency, filling factor and relative dielectric constant on photonic band gap, and relative photonic band gap width are analyzed respectively, and some corresponding physical explanations are also given. These results would provide theoretical instructions for designing new photonic crystal devices using plasmadielectric structure.

1. Yablonovitch, E., "Inhibited spontaneous emission in solid-state physis and electronics," Phys. Rev. Lett., Vol. 58, 2059-2062, 1987.
doi:10.1103/PhysRevLett.58.2059 Google Scholar

2. John, S., "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett., Vol. 58, 2486-2489, 1987.
doi:10.1103/PhysRevLett.58.2486 Google Scholar

3. Banaei, H. A. and A. Rostami, "A novel proposed for passive all-optical demultiplexer for DWMD systems using 2-D photonic crystals," J. of Electromagn. Waves and Appl., Vol. 22, 471-482, 2008.
doi:10.1163/156939308784150263 Google Scholar

4. Manolatou, C., S. G. Johnson, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, "High-density integrated optics," J. Lightwave Technol., Vol. 17, 1682-1692, 1999.
doi:10.1109/50.788575 Google Scholar

5. Minin, I.V., O. V. Minin, Y. R. Triandaphilov, and V. V. Kotlyar, "Subwavelength diffractive photonic crystal lens," Progress In Electromagnetics Research B, Vol. 7, 257-264, 2008.
doi:10.2528/PIERB08041501 Google Scholar

6. Mizuguchi, J., Y. Tanaka, S. Tamura, and M. Notomi, "Focusing of light in a three-dimensional cubic photonic crystal," Phys. Rev. B, Vol. 67, 075109-075117, 2003.
doi:10.1103/PhysRevB.67.075109 Google Scholar

7. Chen, J. Y., J. Y. Yeh, L. W. Chen, Y. G. Li, and C. C. Wang, "Design and modeling for enhancement of light extraction in light-emitting diodes with archimedean lattice photonic crystals ," Progress In Electromagnetics Research B, Vol. 11, 265-279, 2009.
doi:10.2528/PIERB08112704 Google Scholar

8. Hojo, H. and A. Mase, "Dispersion relation of electromagnetic waves in one dimensional plasma photonic crystals," J. Plasma Fusion Research, Vol. 80, No. 2, 89-90, 2004.
doi:10.1585/jspf.80.89 Google Scholar

9. Liu, S., W. Hong, and N. Yuan, "Finite-difference time-domain analysis of unmagnetized plasma photonic crystals," International Journal of Infrared and Millimeter Waves, Vol. 27, No. 3, 403-422, 2006.
doi:10.1007/s10762-006-9075-x Google Scholar

10. Sakai, O., T. Sakaguchi, and K. Tachibana, "Verification of a plasma photonic crystal for microwaves of millimeter wavelength range using two-dimensional array of columnar microplasmas," Appl. Phys. Lett., Vol. 87, No. 24, 241505-1-3, 2005.
doi:10.1063/1.2147709 Google Scholar

11. Sakai, O. and K. Tachibana, "Properties of electromagnetic wave propagation emerging in 2-D periodic plasma structures," IEEE Transactions on Plasma Science, Vol. 35, No. 5, 1267-1273, 2007.
doi:10.1109/TPS.2007.906133 Google Scholar

12. Tachibana, K., Y. Kishimoto, S. Kawai, T. Sakaguchi, and O. Sakai, "Diagnostics of microdischarge-integrated plasma sources for display and material processing," Plasma Phys. Contr. Fusion, Vol. 47, A167-A177, 2005.
doi:10.1088/0741-3335/47/5A/012 Google Scholar

13. Sakai, O., T. Sakaguchi, and K. Tachibana, "Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves," J. Appl. Phys., Vol. 101, No. 7, 073304-1-9, 2007.
doi:10.1063/1.2713939 Google Scholar

14. Sakaguchi, T., O. Sakai, and K. Tachibana, "Photonic bands in two-dimensional microplasma arrays. II. Band gaps observed in millimeter and subterahertz ranges," J. Appl. Phys., Vol. 101, No. 7, 073305-1-7, 2007.
doi:10.1063/1.2713940 Google Scholar

15. Hojo, H., N. Uchida, and A. Mase, "Beaming of millimeter waves from plasma photonic crystal waveguides," Plasma and Fusion Research: Rapid Communications, Vol. 1, 2006. Google Scholar

16. Villa-Villa, F., J. A. Gaspar-Armenta, and A. Mendoza-Suarez, "surface modes in one dimensional photonic crystals that include left handed materials," J. of Electromagn. Waves and Appl., Vol. 21, No. 4, 485-499, 2007.
doi:10.1163/156939307779367323 Google Scholar

17. Kuzmiak, V., A. Maradudin, and F. Pincemin, "Photonic band structures of two-dimensional systems containing metallic componets," Phys. Rev. B, Vol. 50, No. 23, 16835-16844, 1994.
doi:10.1103/PhysRevB.50.16835 Google Scholar

18. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The finite-difference time-domain, 2nd edition, Artech House, Boston, 2000.

19. Moreno, E., D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B, Vol. 65, No. 15, 155120-1-10, 2002.
doi:10.1103/PhysRevB.65.155120 Google Scholar

20. Srivastava, R., K. B. Thapa, S. Pati, and S. P. Ojha, "Omnidirection reflection in one dimensional photonic crystal," Progress In Electromagnetics Research B, Vol. 7, 133-143, 2008.
doi:10.2528/PIERB08020601 Google Scholar

21. Dubey, R. S. and D. K. Gautam, "Development of simulation tools to study optical properties of one-dimentional photonic crystals," J. of Electromagn. Waves and Appl., Vol. 22, 849-860, 2008.
doi:10.1163/156939308784159408 Google Scholar

22. Kretschmann, M., "Phase diagrams of surface plasmon polaritonic crystals," Phys. Rev. B, Vol. 68, No. 12, 125419-1-5, 2003.
doi:10.1103/PhysRevB.68.125419 Google Scholar

23. Handbook for CST Microwave Studio V5.1, 2006.

24. Sakurai, J., Modern Quantum Mechanics,, Addison-Wesley, New York, 1994.

25. Meade, R. D., A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, "Nature of the photonic band gap: Some insights from a field analysis," J. Opt. Soc. Am. B., Vol. 10, 328-332, 1993.
doi:10.1364/JOSAB.10.000328 Google Scholar

26. Joannopoulos, J. D., S. G. Johnson, J. N.Winn, and R. D. Meade, Photonic Crystals-Molding the Flow of Light, Princeton University Press, Princeton, 2008.

Dr. Li-Mei Qi

Dr. Ziqiang Yang