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ENHANCEMENT OF PHOTONIC BAND GAP IN A DISORDERED QUARTER-WAVE DIELECTRIC PHOTONIC CRYSTAL

By C.-J. Wu, Y.-N. Rau, and W.-H. Han

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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.

Citation:
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.
doi:10.2528/PIER09111610
http://www.jpier.org/PIER/pier.php?paper=09111610

References:
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

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

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

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

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

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

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

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

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.
doi:10.1103/PhysRevB.72.075119

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

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

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

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

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

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

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

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

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

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

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

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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