Nanowire metamaterials with extreme optical anisotropy
Appl. Phys. Lett. 89, 261102 (2006); doi:10.1063/1.2422893
Published 26 December 2006
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The authors study perspectives of nanowire metamaterials for negative-refraction waveguides, high-performance polarizers, and polarization-sensitive biosensors. They demonstrate that the behavior of these composites is strongly influenced by the concentration, distribution, and geometry of the nanowires, derive an analytical description of electromagnetism in anisotropic nanowire-based metamaterials, and explore the limitations of their approach via three-dimensional numerical simulations. Finally, they illustrate the developed approach on the examples of nanowire-based high-energy-density waveguides and nonmagnetic negative-index imaging systems with far-field resolution of one-sixth of vacuum wavelength.
©2006 American Institute of Physics
| History: | Received 19 April 2006; accepted 16 November 2006; published 26 December 2006 |
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http://link.aip.org/link/?APPLAB/89/261102/1 |
REFERENCES (22)
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- P. Krecmer, A. M. Moulin, R. J. Stephenson, T. Rayment, M. E. Welland, and S. R. Elliott,
Science 277, 1799 (1997) ; - W. T. Doyle and I. S. Jacobs, J. Appl. Phys. 71, 3926 (1992);
- P. Belov and C. Simovski, Phys. Rev. E 72, 036618 (2005).
- G. Shvets and Y. A. Urzhumov, Phys. Rev. Lett. 93, 243902 (2004).
- D. Wu, N. Fang, C. Sun, X. Zhang, W. J. Padilla, D. N. Basov, D. R. Smith, and S. Schultz, Appl. Phys. Lett. 83, 201 (2003).
- A. Alu and N. Engheta,
IEEE Trans. Microwave Theory Tech. 52, 199 (2004) . - A. A. Govyadinov and V. A. Podolskiy, Phys. Rev. B 73, 155108 (2006);
- V. A. Podolskiy and E. E. Narimanov, Phys. Rev. B 71, 201101(R) (2005);
- The Handbook of Optical Constants of Solids, edited by E. Palik (Academic, London, 1997).
- J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996);
- D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
- A. Pokrovsky and A. Efros, Phys. Rev. Lett. 89, 093901 (2002);
- J. C. M. Garnett,
Philos. Trans. R. Soc. London, Ser. B 203, 385 (1904) . - A. Khizhniak, Z. Tech. Phys. (Leipzig) 27, 2027 (1957);
- G. W. Milton, The Theory of Composites (Cambridge University Press, Cambridge, 2002).
- Q. Wu and W. Park, Appl. Phys. Lett. 85, 4845 (2004).
- Mathematically, the average area of the unit cell A, in random anisotropic composite is related to the average separation between neighboring elements along the two orthogonal directions l
, and l
, through the metric tensor


, A=![[summation]](http://scitation.aip.org/stockgif3/sum.gif)


l
l
. The tensor becomes diagonal in “eigen” axes {,
}={x,y}, used as primary directions throughout this letter.
- L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Course of Theoretical Physics, 2nd ed. (Reed, Oxford, UK, 1984), Vol. 8.
- J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1999).
- The role of parameters
, used in this work is similar to that of interaction coefficients introduced for Lorentz model in Ref. 20. These two techniques provide identical results for isotropic (in x,y, plane) composites, while Eq. (6) tends to be more robust than Lorentz model when |
|,|
|~1. - R. E. Collin Field Theory of Guided Waves, 2nd ed. (Wiley-Interscience, New York, 1991).
- Note that while S(
)
, in the limit 
1, the expression
S(
)−S(1/
)/
, remains finite for
=1+
, with |
|
1. - For details see COMSOL Multiphysics User's Guide and Electromagnetics Module User's Guide; COMSOL AB (1994–2005);
P. Belov, R. Marques, S. Maslovski, I. Nefedov, M. Silveirinha, C. Simovski, and S. Tretyakov, Phys. Rev. B 67, 113103 (2003);
A. L. Pokrovsky and A. L. Efros, ibid. 65, 045110 (2002).
A. Lakhtakia, B. Michel, and W. S. Weiglhofer,
A. Kirchiner, K. Busch, and C. M. Soukoulis, Phys. Rev. B 57, 277 (1998);
A. N. Lagarkov, A. K. Sarychev, ibid. 53, 6318 (1996).







