Abstract

Metamaterials with extreme anisotropy overcome the diffraction limit by supporting the propagation of otherwise evanescent waves. Recent experiments in slabs of wire media have shown that images deteriorate away from the longitudinal Fabry–Perot resonances of the slab. Existing theoretical models explain this using nonlocality, surface waves, and additional boundary conditions. We show that image aberrations can be understood as originating from cavity resonances of uniaxial media with large local axial permittivity. We apply a simple cavity resonator model and a transfer matrix approach to replicate salient experimental features of wire media hyperlenses. These results offer avenues to reduce observed imaging artefacts, and are applicable to all uniaxial media with large magnitude of the axial permittivity, e.g., wire media and layered media.

© 2014 Optical Society of America

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  1. D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
    [CrossRef]
  2. A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nat. Photonics 7, 948 (2013).
    [CrossRef]
  3. Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
    [CrossRef]
  4. B. D. F. Casse, W. T. Lu, Y. J. Huang, E. Gultepe, L. Menon, and S. Sridhar, Appl. Phys. Lett. 96, 023114 (2010).
    [CrossRef]
  5. M. G. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
    [CrossRef]
  6. C. R. Simovski, P. A. Belov, A. Atrashchenko, and Y. Kivshar, Adv. Mater. 24, 4229 (2012).
    [CrossRef]
  7. P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
    [CrossRef]
  8. A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
    [CrossRef]
  9. P. A. Belov and M. G. Silveirinha, Phys. Rev. E 73, 056607 (2006).
    [CrossRef]
  10. P. Belov and Y. Hao, Phys. Rev. B 73, 113110 (2006).
    [CrossRef]
  11. X. Li, S. He, and Y. Jin, Phys. Rev. B 75, 045103 (2007).
  12. R. Kotyński and T. Stefaniuk, J. Opt. A 11, 015001 (2009).
    [CrossRef]
  13. P. B. Catrysse and S. Fan, Adv. Mater. 25, 194 (2013).
    [CrossRef]
  14. F. Lemoult, N. Kaina, M. Fink, and G. Lerosey, Nat. Phys. 9, 55 (2012).
    [CrossRef]
  15. J. Anthony, R. Leonhardt, A. Argyros, and M. C. J. Large, J. Opt. Soc. Am. B 28, 1013 (2011).
    [CrossRef]
  16. P. Yeh, Optical Waves in Layered Media (Wiley, 1988).
  17. J. Hao and L. Zhou, Phys. Rev. B 77, 094201 (2008).
    [CrossRef]
  18. R. Y. Koyama, N. V. Smith, and W. E. Spicer, Phys. Rev. B 8, 2426 (1973).
    [CrossRef]
  19. J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, Appl. Phys. Lett. 90, 191109 (2007).
    [CrossRef]
  20. V. Chebykin, A. A. Orlov, C. R. Simovski, Y. S. Kivshar, and P. A. Belov, Phys. Rev. B 86, 115420 (2012).
    [CrossRef]

2013 (3)

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nat. Photonics 7, 948 (2013).
[CrossRef]

A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
[CrossRef]

P. B. Catrysse and S. Fan, Adv. Mater. 25, 194 (2013).
[CrossRef]

2012 (3)

F. Lemoult, N. Kaina, M. Fink, and G. Lerosey, Nat. Phys. 9, 55 (2012).
[CrossRef]

C. R. Simovski, P. A. Belov, A. Atrashchenko, and Y. Kivshar, Adv. Mater. 24, 4229 (2012).
[CrossRef]

V. Chebykin, A. A. Orlov, C. R. Simovski, Y. S. Kivshar, and P. A. Belov, Phys. Rev. B 86, 115420 (2012).
[CrossRef]

2011 (1)

2010 (2)

P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
[CrossRef]

B. D. F. Casse, W. T. Lu, Y. J. Huang, E. Gultepe, L. Menon, and S. Sridhar, Appl. Phys. Lett. 96, 023114 (2010).
[CrossRef]

2009 (1)

R. Kotyński and T. Stefaniuk, J. Opt. A 11, 015001 (2009).
[CrossRef]

2008 (1)

J. Hao and L. Zhou, Phys. Rev. B 77, 094201 (2008).
[CrossRef]

2007 (4)

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, Appl. Phys. Lett. 90, 191109 (2007).
[CrossRef]

X. Li, S. He, and Y. Jin, Phys. Rev. B 75, 045103 (2007).

M. G. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

2006 (2)

P. A. Belov and M. G. Silveirinha, Phys. Rev. E 73, 056607 (2006).
[CrossRef]

P. Belov and Y. Hao, Phys. Rev. B 73, 113110 (2006).
[CrossRef]

2003 (1)

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

1973 (1)

R. Y. Koyama, N. V. Smith, and W. E. Spicer, Phys. Rev. B 8, 2426 (1973).
[CrossRef]

Anthony, J.

Argyros, A.

A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
[CrossRef]

J. Anthony, R. Leonhardt, A. Argyros, and M. C. J. Large, J. Opt. Soc. Am. B 28, 1013 (2011).
[CrossRef]

Atrashchenko, A.

C. R. Simovski, P. A. Belov, A. Atrashchenko, and Y. Kivshar, Adv. Mater. 24, 4229 (2012).
[CrossRef]

Avrutsky, I.

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, Appl. Phys. Lett. 90, 191109 (2007).
[CrossRef]

Belov, P.

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nat. Photonics 7, 948 (2013).
[CrossRef]

P. Belov and Y. Hao, Phys. Rev. B 73, 113110 (2006).
[CrossRef]

Belov, P. A.

V. Chebykin, A. A. Orlov, C. R. Simovski, Y. S. Kivshar, and P. A. Belov, Phys. Rev. B 86, 115420 (2012).
[CrossRef]

C. R. Simovski, P. A. Belov, A. Atrashchenko, and Y. Kivshar, Adv. Mater. 24, 4229 (2012).
[CrossRef]

P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
[CrossRef]

M. G. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

P. A. Belov and M. G. Silveirinha, Phys. Rev. E 73, 056607 (2006).
[CrossRef]

Casse, B. D. F.

B. D. F. Casse, W. T. Lu, Y. J. Huang, E. Gultepe, L. Menon, and S. Sridhar, Appl. Phys. Lett. 96, 023114 (2010).
[CrossRef]

Catrysse, P. B.

P. B. Catrysse and S. Fan, Adv. Mater. 25, 194 (2013).
[CrossRef]

Chebykin, V.

V. Chebykin, A. A. Orlov, C. R. Simovski, Y. S. Kivshar, and P. A. Belov, Phys. Rev. B 86, 115420 (2012).
[CrossRef]

Elser, J.

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, Appl. Phys. Lett. 90, 191109 (2007).
[CrossRef]

Fan, S.

P. B. Catrysse and S. Fan, Adv. Mater. 25, 194 (2013).
[CrossRef]

Fink, M.

F. Lemoult, N. Kaina, M. Fink, and G. Lerosey, Nat. Phys. 9, 55 (2012).
[CrossRef]

Fischer, B. M.

A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
[CrossRef]

Fleming, S. C.

A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
[CrossRef]

Gultepe, E.

B. D. F. Casse, W. T. Lu, Y. J. Huang, E. Gultepe, L. Menon, and S. Sridhar, Appl. Phys. Lett. 96, 023114 (2010).
[CrossRef]

Hao, J.

J. Hao and L. Zhou, Phys. Rev. B 77, 094201 (2008).
[CrossRef]

Hao, Y.

P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
[CrossRef]

P. Belov and Y. Hao, Phys. Rev. B 73, 113110 (2006).
[CrossRef]

He, S.

X. Li, S. He, and Y. Jin, Phys. Rev. B 75, 045103 (2007).

Huang, Y. J.

B. D. F. Casse, W. T. Lu, Y. J. Huang, E. Gultepe, L. Menon, and S. Sridhar, Appl. Phys. Lett. 96, 023114 (2010).
[CrossRef]

Iorsh, I.

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nat. Photonics 7, 948 (2013).
[CrossRef]

Jin, Y.

X. Li, S. He, and Y. Jin, Phys. Rev. B 75, 045103 (2007).

Kaina, N.

F. Lemoult, N. Kaina, M. Fink, and G. Lerosey, Nat. Phys. 9, 55 (2012).
[CrossRef]

Kaltenecker, K. J.

A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
[CrossRef]

Kivshar, Y.

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nat. Photonics 7, 948 (2013).
[CrossRef]

C. R. Simovski, P. A. Belov, A. Atrashchenko, and Y. Kivshar, Adv. Mater. 24, 4229 (2012).
[CrossRef]

Kivshar, Y. S.

V. Chebykin, A. A. Orlov, C. R. Simovski, Y. S. Kivshar, and P. A. Belov, Phys. Rev. B 86, 115420 (2012).
[CrossRef]

Kotynski, R.

R. Kotyński and T. Stefaniuk, J. Opt. A 11, 015001 (2009).
[CrossRef]

Koyama, R. Y.

R. Y. Koyama, N. V. Smith, and W. E. Spicer, Phys. Rev. B 8, 2426 (1973).
[CrossRef]

Kuhlmey, B. T.

A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
[CrossRef]

Large, M. C. J.

Lee, H.

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Lemoult, F.

F. Lemoult, N. Kaina, M. Fink, and G. Lerosey, Nat. Phys. 9, 55 (2012).
[CrossRef]

Leonhardt, R.

Lerosey, G.

F. Lemoult, N. Kaina, M. Fink, and G. Lerosey, Nat. Phys. 9, 55 (2012).
[CrossRef]

Li, X.

X. Li, S. He, and Y. Jin, Phys. Rev. B 75, 045103 (2007).

Liu, Z.

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Lu, W. T.

B. D. F. Casse, W. T. Lu, Y. J. Huang, E. Gultepe, L. Menon, and S. Sridhar, Appl. Phys. Lett. 96, 023114 (2010).
[CrossRef]

Menon, L.

B. D. F. Casse, W. T. Lu, Y. J. Huang, E. Gultepe, L. Menon, and S. Sridhar, Appl. Phys. Lett. 96, 023114 (2010).
[CrossRef]

Orlov, A. A.

V. Chebykin, A. A. Orlov, C. R. Simovski, Y. S. Kivshar, and P. A. Belov, Phys. Rev. B 86, 115420 (2012).
[CrossRef]

Palikaras, G. K.

P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
[CrossRef]

Parini, C.

P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
[CrossRef]

Poddubny, A.

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nat. Photonics 7, 948 (2013).
[CrossRef]

Podolskiy, V. A.

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, Appl. Phys. Lett. 90, 191109 (2007).
[CrossRef]

Rahman, A.

P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
[CrossRef]

Salakhutdinov, I.

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, Appl. Phys. Lett. 90, 191109 (2007).
[CrossRef]

Schurig, D.

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Silveirinha, M. G.

M. G. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

P. A. Belov and M. G. Silveirinha, Phys. Rev. E 73, 056607 (2006).
[CrossRef]

Simovski, C. R.

V. Chebykin, A. A. Orlov, C. R. Simovski, Y. S. Kivshar, and P. A. Belov, Phys. Rev. B 86, 115420 (2012).
[CrossRef]

C. R. Simovski, P. A. Belov, A. Atrashchenko, and Y. Kivshar, Adv. Mater. 24, 4229 (2012).
[CrossRef]

P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
[CrossRef]

M. G. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

Smith, D. R.

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Smith, N. V.

R. Y. Koyama, N. V. Smith, and W. E. Spicer, Phys. Rev. B 8, 2426 (1973).
[CrossRef]

Spicer, W. E.

R. Y. Koyama, N. V. Smith, and W. E. Spicer, Phys. Rev. B 8, 2426 (1973).
[CrossRef]

Sridhar, S.

B. D. F. Casse, W. T. Lu, Y. J. Huang, E. Gultepe, L. Menon, and S. Sridhar, Appl. Phys. Lett. 96, 023114 (2010).
[CrossRef]

Stefaniuk, T.

R. Kotyński and T. Stefaniuk, J. Opt. A 11, 015001 (2009).
[CrossRef]

Sun, C.

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Tuniz, A.

A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
[CrossRef]

Walther, M.

A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
[CrossRef]

Xiong, Y.

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

Zhang, X.

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Zhao, Y.

P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
[CrossRef]

Zhou, L.

J. Hao and L. Zhou, Phys. Rev. B 77, 094201 (2008).
[CrossRef]

Adv. Mater. (2)

C. R. Simovski, P. A. Belov, A. Atrashchenko, and Y. Kivshar, Adv. Mater. 24, 4229 (2012).
[CrossRef]

P. B. Catrysse and S. Fan, Adv. Mater. 25, 194 (2013).
[CrossRef]

Appl. Phys. Lett. (3)

P. A. Belov, G. K. Palikaras, Y. Zhao, A. Rahman, C. R. Simovski, Y. Hao, and C. Parini, Appl. Phys. Lett. 97, 191905 (2010).
[CrossRef]

B. D. F. Casse, W. T. Lu, Y. J. Huang, E. Gultepe, L. Menon, and S. Sridhar, Appl. Phys. Lett. 96, 023114 (2010).
[CrossRef]

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, Appl. Phys. Lett. 90, 191109 (2007).
[CrossRef]

J. Opt. A (1)

R. Kotyński and T. Stefaniuk, J. Opt. A 11, 015001 (2009).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nat. Commun. (1)

A. Tuniz, K. J. Kaltenecker, B. M. Fischer, M. Walther, S. C. Fleming, A. Argyros, and B. T. Kuhlmey, Nat. Commun. 4, 2706 (2013).
[CrossRef]

Nat. Photonics (1)

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nat. Photonics 7, 948 (2013).
[CrossRef]

Nat. Phys. (1)

F. Lemoult, N. Kaina, M. Fink, and G. Lerosey, Nat. Phys. 9, 55 (2012).
[CrossRef]

Phys. Rev. B (6)

J. Hao and L. Zhou, Phys. Rev. B 77, 094201 (2008).
[CrossRef]

R. Y. Koyama, N. V. Smith, and W. E. Spicer, Phys. Rev. B 8, 2426 (1973).
[CrossRef]

P. Belov and Y. Hao, Phys. Rev. B 73, 113110 (2006).
[CrossRef]

X. Li, S. He, and Y. Jin, Phys. Rev. B 75, 045103 (2007).

M. G. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

V. Chebykin, A. A. Orlov, C. R. Simovski, Y. S. Kivshar, and P. A. Belov, Phys. Rev. B 86, 115420 (2012).
[CrossRef]

Phys. Rev. E (1)

P. A. Belov and M. G. Silveirinha, Phys. Rev. E 73, 056607 (2006).
[CrossRef]

Phys. Rev. Lett. (1)

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Science (1)

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Other (1)

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

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Figures (5)

Fig. 1.
Fig. 1.

(a) Schematic of the geometry considered. (b) Frequency-dependent experimental images of a 200 μm aperture in contact with a 3.4 mm long wire medium [8].

Fig. 2.
Fig. 2.

Supported transverse modes between (a) 0.1–1.4 THz and (b) 0.370–0.463 THz. Calculated normalized intensity (dB) between (c) 0.1–1.4 THz and (d) 0.370–0.463 THz.

Fig. 3.
Fig. 3.

Calculated log10|t(kx)| between (a) 0.1–1.4 THz and (b) 0.370–0.463 THz. Calculated normalized intensity (dB) between (c) 0.1–1.4 THz and (d) 0.370–0.463 THz.

Fig. 4.
Fig. 4.

Calculated normalized intensity (dB) and log10|t(kx)| using: (a), (b) COMSOL; (c), (d) the method presented in [5]; and (e), (f) the local transfer matrix method. The diagonal red lines in (b) are normalization artefacts.

Fig. 5.
Fig. 5.

Calculated normalized intensity (dB) and log10|t(kx)| using: (a), (b) a multilayer transfer matrix method as described in the text; (c), (d) the transfer matrix method for a single slab using homogeneous parameters.

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