Abstract
The band structures of Fibonacci sequence composed of single-negative materials are studied with a transfer matrix method. A new type of omnidirectional single-negative gaps is found in the Fibonacci sequence. In contrast to the Bragg gaps, such an omnidirectional single-negative gap is insensitive to the incident angles and polarization, and is invariant upon the change of the ratio of the thicknesses of two media. It is found that omnidirectional single-negative gap exists in the other Fibonacci sequence, and it is rather stable and independence of the structure sequence.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. G. Veselago, The electrodynamics of substances with simultaneously negative values of ɛ and μ. Sov. Phys. Usp. 10, 509 (1968)
D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, A composite medium with simultaneously negative permeability and permittivity. Phys. Rev. Lett. 84, 4184 (2000)
J. Li, L. Zhou, C. T. Chan, and P. Sheng, Photonic band gap from a stack of positive and negative index materials. Phys. Rev. Lett. 90, 083901 (2003)
A. A. Houck, J. B. Brock, and I. L. Chuang, Experimental observations of a left-handed material that obeys Snell’s law. Phys. Rev. Lett. 90, 137401 (2003)
L. G. Wang, H. Chen, and S. Y. Zhu, Omnidirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials. Phys. Rev. B 61, 10762 (2000)
H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, and S. Y. Zhu, Omnidirectional gap and defect mode of one-dimensional photonic crystals containing negative-index materials. Appl. Phys. Lett. 83, 5386 (2003)
H. T. Jiang, 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 69, 066607 (2004)
R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, Microwave transmission througha two-dimensional, isotropic, left-handed meta material. Appl. Phys. Lett. 78, 489 (2001)
R. A. Shelby, D. R. Smith, and S. Schultz, Experimental verification of a negative index ofrefraction. Science 292, 77 (2001)
D. R. Fredkin and A. Ron, Effectively left-handed (negative index) composite material. Appl. Phys. Lett. 81, 1753 (2002)
A. Alù and N. Engheta, Pairing an epsilon-negative slab with a mu-negative slab:resonance,tunneling and transparency. IEEE Trans. Antennas Propag. 51, 2558 (2003)
J. Li, D. Zhao, and Z. Liu, \( {\text{Zero}} - \overline{n} \) photonic band gap in a quasiperiodic stacking of positive and negative refractive index materials. Phys. Lett. A 332, 461–468 (2004)
H. He and W. Y. Zhang, Transmission spectra in symmetrical Fibonacci superlattices composed of positive and negative refractive index materials. Phys. Lett. A 351, 198–204 (2006)
H. Y. Zhang, Y. P. Zhang, T. Y. Shang, Y. Zheng, G. J. Ren, P. Wang, and J. Q. Yao, Omnidirectional \( {\text{zero}} - \overline{n} \) gap in symmetrical Fibonacci sequences composed of positive and negative refractive index materials. Eur. Phys. J. B 52, 37–40 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shang, Ty., Zhang, Hy., Zhang, Yp. et al. Omnidirectional Single-negative Gap and in Fibonacci Sequences Composed of Single-negative Materials. Int J Infrared Milli Waves 28, 671–676 (2007). https://doi.org/10.1007/s10762-007-9236-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10762-007-9236-6