Abstract

We consider the problem of subwavelength imaging via a slab of a left-handed medium (LHM) in the presence of material losses. We derive the analytical expression for the resolution limit of a LHM-based lens and demonstrate that the area of its subwavelength performance is usually limited to the near-field zone.

© 2005 Optical Society of America

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References

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  1. V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
    [CrossRef]
  2. J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
    [CrossRef] [PubMed]
  3. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
    [CrossRef] [PubMed]
  4. Focus Issue, “Negative refraction and metamaterials,” Opt. Express 11(7), 639–837 (2003), http://www.opticsexpress.org .
  5. R. Shelby, D. Smith, and S. Schultz, Science 292, 77 (2001).
    [CrossRef] [PubMed]
  6. J. B. Pendry, Nature 423, 22 (2003).
    [CrossRef] [PubMed]
  7. C. Parazzoli, R. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, Phys. Rev. Lett. 90, 107401 (2003).
    [CrossRef]
  8. T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
    [CrossRef]
  9. I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. E 69, 016617 (2004).
    [CrossRef]
  10. A. Zakhidov and V. Agranovich, Phys. Rev. B 69, 165112 (2004).
    [CrossRef]
  11. N. Garcia and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 207403 (2002).
    [CrossRef]
  12. J. Pendry, Phys. Rev. Lett. 91, 099701 (2003).
    [CrossRef]
  13. M. Nieto-Vesperinas and N. Garcia, Phys. Rev. Lett. 91, 099702 (2003).
    [CrossRef]
  14. V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, J. Nonlinear Opt. Phys. Mater. 11, 65 (2002).
    [CrossRef]
  15. V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, Opt. Express 11, 735 (2003), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  16. R. Merlin, Appl. Phys. Lett. 84, 1290 (2004).
    [CrossRef]
  17. Here the image and spectral width are calculated at half-amplitude level.
  18. D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. 82, 1506 (2003).
    [CrossRef]
  19. J. B. Pendry, Contemp. Phys. 45, 191 (2004).
    [CrossRef]
  20. S. A. Ramakrishna, J. B. Pendry, D. Schurig, D. R. Smith, and S. Shultz, J. Mod. Opt. 49, 1747 (2002).
    [CrossRef]
  21. J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 14, 8463 (2002).
    [CrossRef]
  22. G. G. Gomes-Santos, Phys. Rev. Lett. 90, 077401 (2003).
    [CrossRef]
  23. G. Shvets, Proc. SPIE 5221, 124 (2003).
    [CrossRef]
  24. M. Feise and Y. S. Kivshar, arXiv.org e-Print archive, physics/0403111, March24, 2004, http://xxx.lanl.gov/abs/physics/0403111 .
  25. A. N. Lagarkov and V. N. Kissel, Phys. Rev. Lett. 92, 077401 (2004).
    [CrossRef]
  26. R. Ziolkowski and E. Heyman, Phys. Rev. E 64, 056625 (2001).
    [CrossRef]
  27. P. G. Kik, S. A. Maier, and H. A. Atwater, Phys. Rev. B 69, 045418 (2004).
    [CrossRef]
  28. P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
    [CrossRef]
  29. A. Grbic and G. V. Eleftheriades, Phys. Rev. Lett. 92, 117403 (2004).
    [CrossRef]
  30. J. B. Pendry, Opt. Express 11, 755 (2003), http://www.opticsexpress.org .
    [CrossRef] [PubMed]

2004 (8)

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

A. Zakhidov and V. Agranovich, Phys. Rev. B 69, 165112 (2004).
[CrossRef]

R. Merlin, Appl. Phys. Lett. 84, 1290 (2004).
[CrossRef]

J. B. Pendry, Contemp. Phys. 45, 191 (2004).
[CrossRef]

A. N. Lagarkov and V. N. Kissel, Phys. Rev. Lett. 92, 077401 (2004).
[CrossRef]

P. G. Kik, S. A. Maier, and H. A. Atwater, Phys. Rev. B 69, 045418 (2004).
[CrossRef]

A. Grbic and G. V. Eleftheriades, Phys. Rev. Lett. 92, 117403 (2004).
[CrossRef]

2003 (11)

J. B. Pendry, Opt. Express 11, 755 (2003), http://www.opticsexpress.org .
[CrossRef] [PubMed]

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

G. G. Gomes-Santos, Phys. Rev. Lett. 90, 077401 (2003).
[CrossRef]

G. Shvets, Proc. SPIE 5221, 124 (2003).
[CrossRef]

D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. 82, 1506 (2003).
[CrossRef]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, Opt. Express 11, 735 (2003), http://www.opticsexpress.org .
[CrossRef] [PubMed]

J. B. Pendry, Nature 423, 22 (2003).
[CrossRef] [PubMed]

C. Parazzoli, R. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, Phys. Rev. Lett. 90, 107401 (2003).
[CrossRef]

J. Pendry, Phys. Rev. Lett. 91, 099701 (2003).
[CrossRef]

M. Nieto-Vesperinas and N. Garcia, Phys. Rev. Lett. 91, 099702 (2003).
[CrossRef]

Focus Issue, “Negative refraction and metamaterials,” Opt. Express 11(7), 639–837 (2003), http://www.opticsexpress.org .

2002 (4)

N. Garcia and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 207403 (2002).
[CrossRef]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, J. Nonlinear Opt. Phys. Mater. 11, 65 (2002).
[CrossRef]

S. A. Ramakrishna, J. B. Pendry, D. Schurig, D. R. Smith, and S. Shultz, J. Mod. Opt. 49, 1747 (2002).
[CrossRef]

J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 14, 8463 (2002).
[CrossRef]

2001 (2)

R. Ziolkowski and E. Heyman, Phys. Rev. E 64, 056625 (2001).
[CrossRef]

R. Shelby, D. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

2000 (2)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

1968 (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Agranovich, V.

A. Zakhidov and V. Agranovich, Phys. Rev. B 69, 165112 (2004).
[CrossRef]

Atwater, H. A.

P. G. Kik, S. A. Maier, and H. A. Atwater, Phys. Rev. B 69, 045418 (2004).
[CrossRef]

Basov, D. N.

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

Eleftheriades, G. V.

A. Grbic and G. V. Eleftheriades, Phys. Rev. Lett. 92, 117403 (2004).
[CrossRef]

Fang, N.

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

Garcia, N.

M. Nieto-Vesperinas and N. Garcia, Phys. Rev. Lett. 91, 099702 (2003).
[CrossRef]

N. Garcia and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 207403 (2002).
[CrossRef]

Gomes-Santos, G. G.

G. G. Gomes-Santos, Phys. Rev. Lett. 90, 077401 (2003).
[CrossRef]

Grbic, A.

A. Grbic and G. V. Eleftheriades, Phys. Rev. Lett. 92, 117403 (2004).
[CrossRef]

Greegor, R.

C. Parazzoli, R. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, Phys. Rev. Lett. 90, 107401 (2003).
[CrossRef]

Heyman, E.

R. Ziolkowski and E. Heyman, Phys. Rev. E 64, 056625 (2001).
[CrossRef]

Kik, P. G.

P. G. Kik, S. A. Maier, and H. A. Atwater, Phys. Rev. B 69, 045418 (2004).
[CrossRef]

Kissel, V. N.

A. N. Lagarkov and V. N. Kissel, Phys. Rev. Lett. 92, 077401 (2004).
[CrossRef]

Kivshar, Y. S.

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

Koltenbah, B. E. C.

C. Parazzoli, R. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, Phys. Rev. Lett. 90, 107401 (2003).
[CrossRef]

Lagarkov, A. N.

A. N. Lagarkov and V. N. Kissel, Phys. Rev. Lett. 92, 077401 (2004).
[CrossRef]

Li, K.

C. Parazzoli, R. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, Phys. Rev. Lett. 90, 107401 (2003).
[CrossRef]

Lu, W. T.

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

Maier, S. A.

P. G. Kik, S. A. Maier, and H. A. Atwater, Phys. Rev. B 69, 045418 (2004).
[CrossRef]

Merlin, R.

R. Merlin, Appl. Phys. Lett. 84, 1290 (2004).
[CrossRef]

Nemat-Nasser, S. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Nieto-Vesperinas, M.

M. Nieto-Vesperinas and N. Garcia, Phys. Rev. Lett. 91, 099702 (2003).
[CrossRef]

N. Garcia and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 207403 (2002).
[CrossRef]

Padilla, W. J.

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Parazzoli, C.

C. Parazzoli, R. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, Phys. Rev. Lett. 90, 107401 (2003).
[CrossRef]

Parimi, P. V.

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

Pendry, J.

J. Pendry, Phys. Rev. Lett. 91, 099701 (2003).
[CrossRef]

Pendry, J. B.

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

J. B. Pendry, Contemp. Phys. 45, 191 (2004).
[CrossRef]

D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. 82, 1506 (2003).
[CrossRef]

J. B. Pendry, Nature 423, 22 (2003).
[CrossRef] [PubMed]

J. B. Pendry, Opt. Express 11, 755 (2003), http://www.opticsexpress.org .
[CrossRef] [PubMed]

J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 14, 8463 (2002).
[CrossRef]

S. A. Ramakrishna, J. B. Pendry, D. Schurig, D. R. Smith, and S. Shultz, J. Mod. Opt. 49, 1747 (2002).
[CrossRef]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

Podolskiy, V. A.

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, Opt. Express 11, 735 (2003), http://www.opticsexpress.org .
[CrossRef] [PubMed]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, J. Nonlinear Opt. Phys. Mater. 11, 65 (2002).
[CrossRef]

Ramakrishna, S. A.

D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. 82, 1506 (2003).
[CrossRef]

S. A. Ramakrishna, J. B. Pendry, D. Schurig, D. R. Smith, and S. Shultz, J. Mod. Opt. 49, 1747 (2002).
[CrossRef]

J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 14, 8463 (2002).
[CrossRef]

Rosenbluth, M.

D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. 82, 1506 (2003).
[CrossRef]

Sarychev, A. K.

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, Opt. Express 11, 735 (2003), http://www.opticsexpress.org .
[CrossRef] [PubMed]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, J. Nonlinear Opt. Phys. Mater. 11, 65 (2002).
[CrossRef]

Schultz, S.

D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. 82, 1506 (2003).
[CrossRef]

R. Shelby, D. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

Schurig, D.

D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. 82, 1506 (2003).
[CrossRef]

S. A. Ramakrishna, J. B. Pendry, D. Schurig, D. R. Smith, and S. Shultz, J. Mod. Opt. 49, 1747 (2002).
[CrossRef]

Shadrivov, I. V.

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

Shalaev, V. M.

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, Opt. Express 11, 735 (2003), http://www.opticsexpress.org .
[CrossRef] [PubMed]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, J. Nonlinear Opt. Phys. Mater. 11, 65 (2002).
[CrossRef]

Shelby, R.

R. Shelby, D. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

Shultz, S.

S. A. Ramakrishna, J. B. Pendry, D. Schurig, D. R. Smith, and S. Shultz, J. Mod. Opt. 49, 1747 (2002).
[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Shvets, G.

G. Shvets, Proc. SPIE 5221, 124 (2003).
[CrossRef]

Smith, D.

R. Shelby, D. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

Smith, D. R.

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. 82, 1506 (2003).
[CrossRef]

S. A. Ramakrishna, J. B. Pendry, D. Schurig, D. R. Smith, and S. Shultz, J. Mod. Opt. 49, 1747 (2002).
[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Sridhar, S.

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

Sukhorukov, A. A.

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

Tanielian, M.

C. Parazzoli, R. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, Phys. Rev. Lett. 90, 107401 (2003).
[CrossRef]

Veselago, V. G.

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Vier, D. C.

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Vodo, P.

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

Yen, T. Y.

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

Zakhidov, A.

A. Zakhidov and V. Agranovich, Phys. Rev. B 69, 165112 (2004).
[CrossRef]

Zhang, X.

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

Ziolkowski, R.

R. Ziolkowski and E. Heyman, Phys. Rev. E 64, 056625 (2001).
[CrossRef]

Appl. Phys. Lett. (2)

R. Merlin, Appl. Phys. Lett. 84, 1290 (2004).
[CrossRef]

D. R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S. A. Ramakrishna, and J. B. Pendry, Appl. Phys. Lett. 82, 1506 (2003).
[CrossRef]

Contemp. Phys. (1)

J. B. Pendry, Contemp. Phys. 45, 191 (2004).
[CrossRef]

J. Mod. Opt. (1)

S. A. Ramakrishna, J. B. Pendry, D. Schurig, D. R. Smith, and S. Shultz, J. Mod. Opt. 49, 1747 (2002).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (1)

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, J. Nonlinear Opt. Phys. Mater. 11, 65 (2002).
[CrossRef]

J. Phys. Condens. Matter (1)

J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 14, 8463 (2002).
[CrossRef]

Nature (2)

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

J. B. Pendry, Nature 423, 22 (2003).
[CrossRef] [PubMed]

Opt. Express (3)

Phys. Rev. B (2)

P. G. Kik, S. A. Maier, and H. A. Atwater, Phys. Rev. B 69, 045418 (2004).
[CrossRef]

A. Zakhidov and V. Agranovich, Phys. Rev. B 69, 165112 (2004).
[CrossRef]

Phys. Rev. E (2)

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

R. Ziolkowski and E. Heyman, Phys. Rev. E 64, 056625 (2001).
[CrossRef]

Phys. Rev. Lett. (9)

A. N. Lagarkov and V. N. Kissel, Phys. Rev. Lett. 92, 077401 (2004).
[CrossRef]

A. Grbic and G. V. Eleftheriades, Phys. Rev. Lett. 92, 117403 (2004).
[CrossRef]

G. G. Gomes-Santos, Phys. Rev. Lett. 90, 077401 (2003).
[CrossRef]

C. Parazzoli, R. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, Phys. Rev. Lett. 90, 107401 (2003).
[CrossRef]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

N. Garcia and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 207403 (2002).
[CrossRef]

J. Pendry, Phys. Rev. Lett. 91, 099701 (2003).
[CrossRef]

M. Nieto-Vesperinas and N. Garcia, Phys. Rev. Lett. 91, 099702 (2003).
[CrossRef]

Proc. SPIE (1)

G. Shvets, Proc. SPIE 5221, 124 (2003).
[CrossRef]

Science (2)

R. Shelby, D. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

T. Y. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 5663, 1494 (2004).
[CrossRef]

Sov. Phys. Usp. (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Other (2)

Here the image and spectral width are calculated at half-amplitude level.

M. Feise and Y. S. Kivshar, arXiv.org e-Print archive, physics/0403111, March24, 2004, http://xxx.lanl.gov/abs/physics/0403111 .

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Figures (3)

Fig. 1
Fig. 1

LHM-based imaging geometry. The source of the radiation is positioned at the origin of the coordinate system. The arrows correspond to object-to-image ray paths.

Fig. 2
Fig. 2

Focus-to-focus transmission coefficient of a LHM-based lens for Ey,f=λ as a function of kx and absorption. The symbols correspond to exact results [Eq. (1)] (the real part of transmission is shown), and the curves represent the low-loss approximation [Eq. (2)] (a) ϵ=μ=-1+10-3 i (diamonds; red); ϵ=μ=-1+10-5 i (circles; cyan); ϵ=μ=-1+10-6 i (stars; black). The inset illustrates the near-rectangular shape of the transmitted spectrum of a point source as a result of exponential suppression of high-kx (evanescent) spectral components. (b) Suppression of evanescent components due to pure electric losses is usually comparable to that due to pure magnetic absorption: ϵ=μ=-1+10-3 i (diamonds; red); ϵ=-1,μ=-1+10-3 i (triangles; green); ϵ=-1+10-3 i, μ=-1 (squares; blue).

Fig. 3
Fig. 3

Maximum focus distance of a superlens as a function of a desired resolution for the case of imaging of a point slot with electric field Ey (see Fig. 1): ϵ=μ=-1+10-3 i (diamonds; red); ϵ=-1,μ=-1+10-3 i (triangles; green); ϵ=-1+10-3 i, μ=-1 (squares; blue); ϵ=μ=-1+10-6 i (stars; black). The symbols represent the results of exact numerical simulations, and the curves correspond to Eq. (4). The dotted curve corresponds to near-field imaging with a conventional lens (reported for comparison). The inset shows the calculated intensity distribution at the focal point along x coordinate, which is used to determine the resolution Δ.

Equations (4)

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tE,H=expikxx+ikzz-2fκz2+μ,ϵ2kz22iμ,ϵkzκzsin2fκz+cos2fκz,
tE,H=11+exp4fkχϵ,μ+1+2χ2μ,ϵ4χ22,
Δδ=4πξ,
fE,H=Δln4ξ2λ2Δ2-1ϵ,μ+2ξ2λ2Δ2-1μ,ϵ4πξ2-Δ2λ2.

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