volume | PIER Journals

Abstract

The enhancement of the photonic band gap in visible region for a disordered one-dimensional dielectric-dielectric photonic crystal (DDPC) is theoretically investigated. The DDPC is made of alternating two high/low-index quarter-wave dielectric layers stacked periodically. A disordered DDPC is modeled by randomly changing the real thicknesses, or, the optical lengths, of the two dielectrics. In a single disorder case, where the disorder only appears in one of the two constituents, it is found the photonic band gap can be preferably enhanced for the disordered high-index layer. In the double disorder stack, in which both the constituent layers are disordered, the photonic band gap can, however, be significantly enlarged. In addition, numerical results illustrate that a flat band gap can be obtained by the use of disorder in the optical length.

1. 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

2. Steinberg, A. M. and R. Y. Chiao, "Subfemtosecond determination of transmission delay times for a dielectric mirror (photonic band gap) as a function of the angle of incidence ," Phys. Rev. A, Vol. 51, No. 5, 3525-3528, 1995.
doi:10.1103/PhysRevA.51.3525 Google Scholar

3. Hattori, T., N. Tsurumachi, and H. Nakatsuka, "Analysis of optical nonlinearity by defect states in one-dimensional photonic crystals ," J. Opt. Soc. Am. B, Vol. 14, No. 2, 348-355, 1997.
doi:10.1364/JOSAB.14.000348 Google Scholar

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

5. Tocci, M. D., M. J. Bloemer, M. Scalora, J. P. Dowling, and C. M. Bowden, "Thin-film nonlinear optical diode ," Appl. Phys. Lett., Vol. 66, No. 18, 2324-2326, 1995.
doi:10.1063/1.113970 Google Scholar

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

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

8. Awasthi, S. K., U. Malaviya, S. P. Ojha, N. K. Mishra, and B. Singh, "Design of a tunable polarizer using a one-dimensional nano sized photonic bandgap structure," Progress In Electromagnetics Research B, Vol. 5, 133-152, 2008.
doi:10.2528/PIERB08021004 Google Scholar

9. Yeh, P. and Optical Waves in Layered Media, John Wiley & Sons, 1991. Google Scholar

10. Lousse, V. and S. Fan, "Tunable terahertz Bloch oscillations in chirped photonic crystals," Phys. Rev. B, Vol. 72, No. 7, 075119, 2005.
doi:10.1103/PhysRevB.72.075119 Google Scholar

11. Bi, G. and H. Wang, "A theoretical study of the chirped and apodized photonic crystals," PIERS Online, Vol. 1, No. 5, 571-574, 2005.
doi:10.2529/PIERS041208221750 Google Scholar

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. Orfanidis, S. J., Electromagnetic Waves and Antennas, (Rutgers University, 2008), ww.ece.rutgers.edu/»orfanidi/ewa..

15. 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

16. 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

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

18. Singh, S. K., J. P. Pandey, K. B. Thapa, and S. P. Ojha, "Structural parameters in the formation of omnidirectional high reflectors ," Progress In Electromagnetics Research, Vol. 70, 53-78, 2007.
doi:10.2528/PIER07010501 Google Scholar

19. Guida, G., "Numerical studies of disordered photonic crystals," Progress In Electromagnetics Research, Vol. 41, 107-131, 2003.
doi:10.2528/PIER02010805 Google Scholar

20. Zhang, D., Z. Li, W. Hu, and B. Cheng, "Broadband optical re°ector-an application of light localization in one dimension," Appl. Phys. Lett., Vol. 67, No. 17, 2431-2432, 1995.
doi:10.1063/1.114597 Google Scholar

21. Li, H., H. Chen, and X. Qiu, "Bandgap extension of disordered 1D binary photonic crystals," Physica B, Vol. 279, No. 1-3, 164-167, 2000.
doi:10.1016/S0921-4526(99)00716-4 Google Scholar

22. 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, No. 1, 104-106, 2006.
doi:10.1016/j.optcom.2005.08.025 Google Scholar

23. 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, 158-159, IVEC, 2008. Google Scholar

Prof. Chien-Jang Wu

Dr. Yu-Nian Rau

Dr. Wei-Hsieh Han