volume | PIER Journals

Abstract

Comparing with an all-dielectric binary photonic crystal, we show, in this work, that the photonic band gap in ternary metal-dielectric photonic crystal can be significantly enlarged. First, the band gap enlargement due to the addition of the metallic film is examined in the case of normal incidence. Next, in the oblique incidence, a wider omnidirectional band gap can be obtained in such a ternary metal-dielectric photonic crystal. All the theoretical analyses are made based on the transfer matrix method together with the Drude model of metals.

1. Joannopoulos, J. D., R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton University Press.

2. Sakoda, K., Optical Properties of Photonic Crystals, Springer-Verlag, Berlin, 2001.

3. Orfanidis , S. J., Electromagnetic Waves and Antennas, Rutger University, 2008, www.ece.rutgers.edu/ orfanidi/ewa.

4. Hsu, H.-T. and C.-J. Wu, "Design rules for a Fabry-Perot narrow band transmission filter containing a metamaterial negative-index defect," Progress In Electromagnetics Research Letters, Vol. 9, 101-107, 2009.
doi:10.2528/PIERL09032803 Google Scholar

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

6. Banerjee, A., "Binary number sequence multilayer structure based on refractometric optical sensing element," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 17-18, 2439-2449, 2008.
doi:10.1163/156939308787543912 Google Scholar

7. Wang, X., X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, "Enlargement of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures," Appl. Phys. Lett., Vol. 80, 4291-4293, 2002.
doi:10.1063/1.1484547 Google Scholar

8. Fink, Y., J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and L. E. Thomas, "A dielectric omnidirectional reflector," Science, Vol. 282, 1679-1682, 1998.
doi:10.1126/science.282.5394.1679 Google Scholar

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

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

11. Yeh, P., Optical Waves in Layered Media, John Wiley & Sons, Singapore, 1991.

12. Wu, C.-J., B.-H. Chu, M.-T. Weng, and H.-L. Lee, "Enhancement of bandwidth in a chirped quarter-wave dielectric mirror," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 4, 437-447, 2009.
doi:10.1163/156939309787612365 Google Scholar

13. Wu, C.-J., B.-H. Chu, and M.-T. Weng, "Analysis of optical reflection in a chirped distributed Bragg reflector," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 1, 129-138, 2009.
doi:10.1163/156939309787604643 Google Scholar

14. Wu, C.-J., Y.-N. Rao, and W.-H. Han, "Enhancement of photonic band gap in a disordered quarter-wave dielectric photonic crystal," Progress In Electromagnetics Research, Vol. 100, 27-36, 2010.
doi:10.2528/PIER09111610 Google Scholar

15. Li, H., H. Chen, and X. Qiu, "Bandgap extension of disordered 1D binary photonic crystals," Physica B, Vol. 279, 164-167, 2007.
doi:10.1016/S0921-4526(99)00716-4 Google Scholar

16. Tolmachev, V. A., T. S. Perova, J. A. Pilyugina, and R. A. Moore, "Experimental evidence of photonic band gap extension for disordered 1D photonic crystals based on Si," Optics Comm., Vol. 259, 104-106, 2006.
doi:10.1016/j.optcom.2005.08.025 Google Scholar

17. Qi, L., Z. Yang, X. Gao, F. Lan, Z. Shi, and Z. Liang, "Bandgap extension of disordered one-dimensional metallic-dielectric photonic crystals," IEEE International Vacuum Electronics Conference, IVEC, 158-159, 2008. Google Scholar

18. Wang, X., X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, "Enlargement of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures," Appl. Phys. Lett., Vol. 80, No. 23, 4291-4293, 2002.
doi:10.1063/1.1484547 Google Scholar

19. Zi, J., J. Wan, and C. Zhang, "Large frequency range of negligible transmission in one-dimensional photonic quantum well structures ," Appl. Phys. Lett. , Vol. 73, No. 15, 2084-2086, 1998.
doi:10.1063/1.122385 Google Scholar

20. Srivastava, R., S. Pati, and S. P. Ojha, "Enhancement of omnidirectional reflection in photonic crystal heterostructures," Progress In Electromagnetics Research B, Vol. 1, 197-208, 2008.
doi:10.2528/PIERB07102903 Google Scholar

21. Awasthi, S. K., U. Malaviya, and S. P. Ojha, "Enhancement of omnidirectional total-reflection wavelength range by using one-dimensional ternary photonic bandgap material," J. Opt. Soc. Am. B: Optical Physics, Vol. 23, 2566-2571, 2006.
doi:10.1364/JOSAB.23.002566 Google Scholar

22. Awasthi, S. K. and S. P. Ojha, "Design of a tunable optical filter by using a one-dimensional ternary photonic ban gap material," Progress In Electromagnetics Research M, Vol. 4, 117-132, 2008.
doi:10.2528/PIERM08061302 Google Scholar

23. Banerjee, A., "Enhanced temperature sensing by using one-dimensional ternary photonic band gap structures," Progress In Electromagnetics Research Letters, Vol. 11, 129-137, 2009.
doi:10.2528/PIERL09080101 Google Scholar

24. Banerjee, A., "Enhanced refractometric optical sensing by using one-dimensional ternary photonic crystals," Progress In Electromagnetics Research, Vol. 89, 11-22, 2009.
doi:10.2528/PIER08112105 Google Scholar

25. Prasad, S., V. Singh, and A. K. Singh, "Modal propagation characteristics of EM waves in ternary one-dimensional photonic crystals," Optik, 2009. Google Scholar

26. Contopanagos, H., E. Yablonovitch, and N. G. Alexopoulous, "Electromagnetic properties of periodic multilayers of ultrathin metallic films from dc to ultraviolet frequencies ," J. Opt. Soc. Am. A, Vol. 16, 2294-2306, 1999.
doi:10.1364/JOSAA.16.002294 Google Scholar

27. Contopanagos, H., N. G. Alexopoulous, and E. Yablonovitch, "High-Q radio-frequency structures using one-dimensionally periodic metallic films ," IEEE Trans. Microwave Theory Technol., Vol. 46, 1310-1312, 1998.
doi:10.1109/22.709476 Google Scholar

28. Keskinen, M. J., P. Loschialpo, D. Forester, and J. Schelleng, "Photonic band structure and transmissivity of frequency-dependent metallic-dielectric systems," J. Appl. Phys., Vol. 88, 5785-5790, 2000.
doi:10.1063/1.1289045 Google Scholar

29. Xu, X., Y. Xi, D. Han, X. Liu, J. Zi, and Z. Zhu, "Effective plasma frequency in one-dimensional metallic-dielectric photonic crystals," Appl. Phys. Lett., Vol. 86, 091112, 2005.
doi:10.1063/1.1879101 Google Scholar

30. Born, M. and E. Wolf, Principles of Optics, Cambridge, London, 1999.

31. Marquez-Islas, R., B. Flores-Desirena, and F. Perez-Rodriguez, "Exciton polaritons in one-dimensional metal-semiconductor photonic crystal," J. Nanosci. Nanotechnol., Vol. 8, 6584-6588, 2008. Google Scholar

32. Markos, P. and C. M. Soukoulis, Wave Propagation: From Electrons to Photonic Crystals and Left-handed Materials, Princeton University Press, New Jersey, 2008.

Prof. Chien-Jang Wu

Dr. Yao-Hsien Chung

Dr. Bao-Jie Syu

Professor Tzong-Jer Yang