Spectral gaps and mode localization in Fibonacci chains of metal nanoparticles

Optics Express

Volumn 15, Issue 22, 2007, Pages 14396-14403

  Dal Negro, Luca ^a   Feng, Ning Ning ^a  

^a Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRONIC DENSITY OF STATES; ENERGY GAP; TRANSFER MATRIX METHOD;

DIPOLAR MODES; FIBONACCI CHAINS; NANOPHOTONICS DEVICES; PSEUDO-DISPERSION DIAGRAM;

NANOPARTICLES;

EID: 35948961611     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.014396     Document Type: Article

References (26)

1. M. Kohmoto, B. Sutherland, and C. Tang, "Critical wave functions and a Cantor-set spectrum of a one-dimensional quasicrystal model," Phys. Rev. B 35, 1020-1033 (1987).
2. D. Levine and P. J. Steinhardt, "Quasicrystals: definition and structure," Phys. Rev. B 34, 596-616 (1986).
3. C. Janot, Quasicrystals: A Primer (Oxford University Press, NY, 1997).
4. T. Fujiwara and T. Ogawa, Quasicrystals (Springer-Verlag, Berlin, 1990).
5. R. B. Capaz, B. Koiller, and S. L. A. de Queiroz, "Gap states and localization properties of one-dimensional Fibonacci quasicrystals," Phys. Rev. B 42, 6402-6406 (1990).
6. M. Kohmoto, B. Sutherland, and K. Iguchi, "Localization in Optics: Quasiperiodic media," Phys. Rev. Lett., 58, 2436-2438 (1987).
7. C. Benoit, G. Poussigue, and A. Azougarh, "Neutron scattering by phonons in quasi-crystals," J. Phys.: Condens. Matter 2, 2519-2536 (1990).
8. E. L. Albuquerque and M. G. Cottam, "Theory of elementary excitations in quasiperiodic structures," Phys. Rep. 376, 225-337 (2003).
9. A. Rudinger and F. Piechon, "On the multifractal spectrum of the Fibonacci chain," J. Phys. A.: Math. Gen. 31, 155-164 (1998).
10. T. Fujiwara, M. Kohmoto, and T. Tokihiro, "Multifractal wavefunctions on a Fibonacci lattice," Phys. Rev. B 40, 7413-7416(1989).
11. F. Igloi, L. Turban, and H. Rieger, "Anomalous diffusion in aperiodic environments," Phys. Rev. E. 59, 1465-1474 (1999).
12. W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633-636 (1994).
13. T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220-4223 (1994).
14. L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, L. Colocci, and D. S. Wiersma, "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
15. R. Zia, J. A. Schuller and M. L. Brongersma, "Plasmonics: The Next Chip-Scale Technology," Materials Today 9, 20-27 (2006).
16. S. A. Maier, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, and H. A. Atwater, "Plasmonics -A Route to Nanoscale Optical Devices," Adv. Mater. 13, 1501 (2001).
17. S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Hard, B. E. Koel, and A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2, 229-232 (2003).
18. U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer-Verlag, 1995).
19. M. L. Brongersma, J. W. Hartman, and H. A. Atwater, "Electromagnetic energy transfer and switching in nanoparticle chain arrays below the diffraction limit," Phys. Rev. B. 62, 356-359 (2000).
20. S. Y. Park and D. Stroud, "Surface-plasmon relations in chains of metallic nanoparticles: an exact quasistatic calculation," Phys. Rev. B. 69, 125418 (2004).
21. C. Girard and R. Quidant, "Near-field optical transmittance of metal particle chain waveguides," Opt. Express, 12, 6141 (2004).
22. F. A. B. F. de Moura, L. P. Viana, A. C. Frery, "Vibrational modes in aperiodic one-dimensional harmonic chains," Phys. Rev. B. 73, 212302 (2006).
23. P. K. Datta and K. Kundu, "The absence of localization in one-dimensional disordered harmonic chains," J. Phys: Condens. Matter 6, 4465-4478 (1994).
24. M. Schroeder, Fractals, Chaos, Power Laws (Freeman, NY, 1991).
25. R. C. Hilborn, Chaos and Nonlinear Dynamics (Oxford University Press, 2000).
26. U. Frisch, Turbolence (Cambridge University Press, 2004).