Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By H. Rahimi, A. Namdar, S. Roshan Entezar, and H. Tajalli

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We investigate the transmission properties of the Fibonacci quasiperiodic layered structures consisting of a pair of double positive (DPS), epsilon-negative (ENG) or/and mu-negative (MNG) materials. It is found that there exist the polarization-dependent transmission gaps which are invariant with a change of scaling and insensitive to incident angles. Analytical methods based on transfer matrices and effective medium theory have been used to explain the properties of transmission gaps of DPS-MNG, DPS-ENG, ENG-MNG Fibonacci multilayer structures.

H. Rahimi, A. Namdar, S. Roshan Entezar, and H. Tajalli, "Photonic transmission spectra in one-dimensional fibonacci multilayer structures containing single-negative metamaterials," Progress In Electromagnetics Research, Vol. 102, 15-30, 2010.

1. Veselago, V. G., "The electrodynamics of substance with stimultaneously negative values of ε and μ," Sov. Phys. Usp., Vol. 10, 509, 1968.

2. Pendry, J. B., A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett., Vol. 76, 4773-776, 1996.

3. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, 77, 2001.

4. Ran, L.-X., H.-F. Jiang Tao, H. Chen, X.-M. Zhang, K.-S. Cheng, T. M. Grzegorczyk, and J. A. Kong, "Experimental study on several left-handed metamaterials," Progress In Electromagnetics Research, Vol. 51, 249-279, 2005.

5. Grzegorczyk, T. M. and J. A. Kong, "Review of left-handed metamaterials: Evolution from theoretical and numerical studies to potential applications," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 14, 2053-2064, 2006.

6. Chen, H., B. I. Wu, and J. A. Kong, "Review of electromagnetic theory in left-handed materials," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 15, 2137-2151, 2006.

7. Zainud-Deen, S. H., A. Z. Botros, and M. S. Ibrahim, "Scattering from bodies coated with metamaterial using FDFD method," Progress In Electromagnetics Research B, Vol. 2, 279-290, 2008.

8. Fredkin, D. R. and A. Ron, "Effectively left-handed (negative index) composite material," Appl. Phys. Lett., Vol. 81, 1753, 2002.

9. Li, J., L. Zhou, C. T. Chan, and P. Sheng, "Photonic band gap from a stack of positive and negative index materials," Phys. Rev. Lett., Vol. 90, 083901, 2003.

10. Srivastava, S. K. and S. P. Ojha, "Enhancement of omnidirectional reflaction bands in one-dimentional photonic crystals with left-handed materials ," Progress In Electromagnetics Research, Vol. 68, 91-111, 2007.

11. Srivastava, R., S. Pati, and S. P. Ojha, "Enhacement of omnidirectional reflection in photonic crystal hetrostructures," Progress In Electromagnetics Research B, Vol. 1, 197-208, 2008.

12. Srivastava, S. K. and S. P. Ojha, "Omnidirectional reflection bands in one-dimensional photonic crystal structure using fullerene films," Progress In Electromagnetics Research, Vol. 74, 181-194, 2007.

13. Wang, L. G., H. Chen, and S. Y. Zhu, "Omnidirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials," Phys. Rev. B, Vol. 70, 245102, 2004.

14. Jiang, H. T., H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, "Properties of one-dimensional photonic crystals containing single-negative materials," Phys. Rev. E, Vol. 69, 066607, 2004.

15. Al, A. and N. Engheta, "Pairing an epsilon-negative slab with a mu-negative slab: Resonance, tunneling, and transparency," IEEE Trans. Antennas Propag., Vol. 51, 2558, 2003.

16. Sheng, P., Introduction to Wave Scattering, Localization and Mesoscopic Phenomena, Academic Press, New York, 1995.

17. Merlin, R., K. Bajema, R. Clarke, F. Y. Juang, and P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs heterostructures," Phys. Rev. Lett., Vol. 55, 1768, 1985.

18. Albada, M. P. and A. Lagendijk, "Observation of weak localization of light in a random medium," Phys. Rev. Lett., Vol. 55, 2692, 1985.

19. Jin, C. J., B. Y. Cheng, B. Y. Man, Z. L. Li, and D. Z. Zhang, "Two-dimensional dodecagonal and decagonal quasiperiodic photonic crystals in the microwave region," Phys. Rev. B, Vol. 61, 10762, 2000.

20. Kohmoto, M., B. Sutherland, and K. Iguchi, "Localization of optics: Quasiperiodic media," Phys. Rev. Lett., Vol. 58, 2436, 1987.

21. Sheng, P., Scattering and Localization of Classical Waves in Random Media , World Scientific, Singapore, 1990.

22. Gellermann, W., M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett., Vol. 72, 633, 1994.

23. Dal Negro, L., C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett., Vol. 90, 055501, 2003.

24. Gumbs, G. and M. K. Ali, "Dynamical maps, cantor spectra, and localization for Fibonacci and related quasiperiodic lattices," Phys. Rev. Lett., Vol. 60, 1081, 1988.

25. Nori, F. and J. P. Rodriguez, "Acoustic and electronic properties of one-dimensional quasicrystals," Phys. Rev. B, Vol. 34, 2207, 1986.

26. Fujiwara, T., M. Kohmoto, and T. Tokihiro, "Multifractal wave functions on a Fibonacci lattice," Phys. Rev. B, Vol. 40, 7413, 1989.

27. Lusk, D., I. Abdulhalim, and F. Placido, "Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal ," Opt. Commun., Vol. 198, 273-279, 2001.

28. Cojocaru, E., "Omnidirectional reflection from finite periodic and Fibonacci quasi-periodic multilayers of alternating isotropic and birefringent thin films," Appl. Opt., Vol. 41, 747, 2002.

29. Aissaoui, M., J. Zaghdoudi, M. Kanzari, and B. Rezig, "Optical properties of the quasi-periodic one-dimensional generalized multilayer Fibonacci structures ," Progress In Electromagnetics Research, Vol. 59, 69-83, 2006.

30. Khalaj-Amirhosseini, M., "Analysis of periodic and aperiodic coupled nonuniform transmission lines using the Fourier series expansion," Progress In Electromagnetics Research, Vol. 65, 15-26, 2006.

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

32. Lakhtakia, A. and C. M. Krowne, "Restricted equivalence of paired epsilon-negative and mu-negative layers to a negative phase-velocity material (alias left-handed material)," Optik, Vol. 114, 305, 2003.

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