The complex Bloch bands of a 2D plasmonic crystal displaying isotropic negative refraction

Optics Express

Volumn 15, Issue 15, 2007, Pages 9681-9691

  Davanço, Marcelo ^a   Urzhumov, Yaroslav ^b   Shvets, Gennady ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; FINITE ELEMENT METHOD; PHOTONIC BAND GAP; REFRACTION; TRANSFER FUNCTIONS; TWO DIMENSIONAL;

BLOCH BANDS; BLOCH WAVE PROBLEM; BLOCH WAVEVECTORS; PLASMONIC CRYSTALS;

PLASMONS;

EID: 34547394476     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.009681     Document Type: Article

References (18)

1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light. (Princteon University Press, 1995).
2. K. Sakoda, Optical Properties of Photonic Crystal, ser. Optical. Sciences. (New York: Springer, 2001).
3. S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001), http://www.opticsexpress.org/abstract. ctni?URI=OPEX-8-3-173.
4. B. P. Hiett, B. D. H., S. J. Cox, J. M. Generowicz, M. Molinari, and R. S. Thomas, "Aplication of finite element methods to photonic crystal modelling," IEE Proc - Sci. Meas. Technol. 149, 293-296 (2002).
5. G. Shvets and Y. A. Urzhumov, "Engineering the electromagnetic properties of periodic nanostructures using electrostatic resonances," Phys. Rev. Lett, 93, 243902 (2004).
6. G. Shvets and Y. Urzhumov, "Electric and magnetic properties of sub-wavelength plasmonic crystals," J. Opt. A: Pure Appl. Opt. 7, S23-S31 (2005).
7. C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, T. Roschny, and C. M. Soukoulis, "Magnetic metamaterials at telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901 (2005), doi:10.1103/PhysRevLett.95.203901.
8. A. Ruhe, "Algorithms for the nonlinear eigenvalue problem," SIAM J. Numer. Anal. 10, 674-689 (1973).
9. A. Spence and C. Poulton, "Photonic band structure calculations using nonlinear eigenvalue techniques," J. Comput. Phys. 204, 65-81 (2005).
10. E. Istrate, A. A. Green, and E. H. Sargent, "Behavior of light at photonic crystal interfaces," Phys. Rev. B 71, 195122 (2005).
11. [Online]. Available: http://www.comsol.com
12. U. Fano, "Effects of configuration interaction, on intensities and phase shifts," Phys. Rev. 124, 1866-1878 (1961).
13. J. Jin, The Finite Element Method in Electromagnetics, (2nd ed. Wiley, 2002).
14. F. Tisseur and R. Meerbergen, "The quadratic eigenvalue problem," SIAM Rev. 43, 235-286 (2001).
15. G. Shvets and Y. Urzhumov, "Negative index meta-materials based on two-dimensional metallic structures," J. Opt. A: Pure Appl. Opt. 8, S122-S130 (2006).
16. D. R. Smith, D. C. Vier, T. Koschny, and C M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E 71, 036617 (2005).
17. K. C. Huang, E. Lidorikis, X. Jiang, J. D. Joannopoulos, K. A. Nelson, P. Bienstman, and S. Fan, "Nature of lossy bloch states in polaritonic photonic crystals," Phys. Rev. B 69, 195111 (2004).
18. H. G. Winful, "The meaning of group delay in barrier tunnelling: a re-examination of superluminal group velocities," New J. Phys., Phys. 8, 101 (2006).