Abstract

We study numerically the electromagnetic scattering properties of structures with negative indices of refraction. To perform this analysis, we utilize a commercial finite-element based electromagnetic solver (HFSS, Ansoft), in which a negative index material can be formed from mesh elements whose permittivity and permeability are both negative. In particular, we investigate the expected transmission characteristics of a finite beam incident on negative index prisms and lenses. We also confirm numerically the predicted superlens effect of an image formed by a planar slab with index n=-1, using two subwavelength (ë/20) slits as objects.

© 2002 Optical Society of America

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References

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  1. V. G. Veselago "The electrodynamics of substances with simultaneously negative values of ε and μ," Soviet Physics USPEKI 10, 509 (1968).
  2. J. B. Pendry, "Electromagnetic materials enter the negative age," Physics World 14, 47 (2001).
  3. D. R. Smith, N. Kroll, �??Negative refractive index in left-handed materials,�?? Phys. Rev. Lett. 85, 2933 (2000).
    [CrossRef]
  4. D. R. Smith, Willie J. Padilla, D. C. Vier, S. C. Nemat-Nasser, S. Schultz, �??A composite medium with simultaneously negative permeability and permittivity,�?? Phys. Rev. Lett. 84, 4184 (2000).
    [CrossRef]
  5. R. Shelby, D. R. Smith, S. Schultz, �??Experimental verification of a negative index of refraction,�?? Science 292, 77 (2001).
    [CrossRef]
  6. J. B. Pendry, �??Negative refraction makes a perfect lens,�?? Phys. Rev. Lett. 85, 3966 (2000).
    [CrossRef]
  7. C. Caloz, C.-C. Chang, T. Itoh, �??Full-wave verification of the fundamental properties of left-handed materials in waveguide configurations,�?? J. App. Phys. 90, 5483 (2001).
  8. C. Parazzoli, R. B. Greegor, K. Li, B. E. C. Kotenbah and M. Tanelian, �??Experimental verification and simulation of negative index of refraction using Snell�??s law,�?? Phys. Rev. Lett. submitted (2002).
  9. A. Yariv, Optical electronics in modern communications, fifth Ed. (Oxford Press, 2000), Chap. 2.
  10. N. Garcia and M. Nieto-Vesperinas, �??Left-handed materials do not make a perfect lens,�?? Appl. Phys. Lett. 88, 207403 (2002).
  11. R. W. Ziolkowski, E. Heyman, �??Wave propagation in media having negative permittivity and permeability,�?? Phys. Rev. E 64, 056625 (2001).
    [CrossRef]
  12. J. T. Shen, P. M. Platzman, �??Near field imaging with negative dielectric constant lenses,�?? Appl. Phys. Lett. 80, 3286 (2002).
    [CrossRef]
  13. D. R. Smith et al., �??Limitations on sub-diffraction imaging with a negative index slab,�?? Appl. Phys. Lett. In press (2003).
  14. R. Ruppin, �??Surface polaritons of a left-handed materials slab,�?? J. Phys.: Condens. Matter 13, 1811 (2001).

Appl. Phys. Lett. (3)

N. Garcia and M. Nieto-Vesperinas, �??Left-handed materials do not make a perfect lens,�?? Appl. Phys. Lett. 88, 207403 (2002).

J. T. Shen, P. M. Platzman, �??Near field imaging with negative dielectric constant lenses,�?? Appl. Phys. Lett. 80, 3286 (2002).
[CrossRef]

D. R. Smith et al., �??Limitations on sub-diffraction imaging with a negative index slab,�?? Appl. Phys. Lett. In press (2003).

J. App. Phys. (1)

C. Caloz, C.-C. Chang, T. Itoh, �??Full-wave verification of the fundamental properties of left-handed materials in waveguide configurations,�?? J. App. Phys. 90, 5483 (2001).

J. Phys. (1)

R. Ruppin, �??Surface polaritons of a left-handed materials slab,�?? J. Phys.: Condens. Matter 13, 1811 (2001).

Phys. Rev. E (1)

R. W. Ziolkowski, E. Heyman, �??Wave propagation in media having negative permittivity and permeability,�?? Phys. Rev. E 64, 056625 (2001).
[CrossRef]

Phys. Rev. Lett. (4)

C. Parazzoli, R. B. Greegor, K. Li, B. E. C. Kotenbah and M. Tanelian, �??Experimental verification and simulation of negative index of refraction using Snell�??s law,�?? Phys. Rev. Lett. submitted (2002).

D. R. Smith, N. Kroll, �??Negative refractive index in left-handed materials,�?? Phys. Rev. Lett. 85, 2933 (2000).
[CrossRef]

D. R. Smith, Willie J. Padilla, D. C. Vier, S. C. Nemat-Nasser, S. Schultz, �??A composite medium with simultaneously negative permeability and permittivity,�?? Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef]

J. B. Pendry, �??Negative refraction makes a perfect lens,�?? Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

Physics World (1)

J. B. Pendry, "Electromagnetic materials enter the negative age," Physics World 14, 47 (2001).

Science (1)

R. Shelby, D. R. Smith, S. Schultz, �??Experimental verification of a negative index of refraction,�?? Science 292, 77 (2001).
[CrossRef]

Soviet Physics (1)

V. G. Veselago "The electrodynamics of substances with simultaneously negative values of ε and μ," Soviet Physics USPEKI 10, 509 (1968).

Other (1)

A. Yariv, Optical electronics in modern communications, fifth Ed. (Oxford Press, 2000), Chap. 2.

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