Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By C.-J. Wu, Y.-N. Rau, and W.-H. Han

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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.

C.-J. Wu, Y.-N. Rau, 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.

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.

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.

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.

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.

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.

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

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.

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.

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

10. Lousse, V. and S. Fan, "Tunable terahertz Bloch oscillations in chirped photonic crystals," Phys. Rev. B, Vol. 72, No. 7, 075119, 2005.

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.

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.

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.

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.

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.

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.

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.

19. Guida, G., "Numerical studies of disordered photonic crystals," Progress In Electromagnetics Research, Vol. 41, 107-131, 2003.

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.

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.

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.

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.

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