Abstract

The polarized reflectivity of potassium titanyl phosphate (KTiOPO4, KTP) single crystal was measured in infrared frequency with the electronic field of the incident wave polarized parallel and perpendicular, respectively, to the c axis. The permittivity dispersions of KTP single crystal were obtained by the fitting of the reflectivity spectra. The permittivity dispersions indicate that KTP single crystal exhibits five frequency intervals where the crystal exhibits contrary signs between ε and ε. This means, in these frequency intervals, the natural existing crystal exhibits the properties of an indefinite media which is based on the anisotropic lattice vibration. However, these lattice vibrations cause a large loss.

© 2013 Optical Society of America

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    [CrossRef]
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  3. R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
    [CrossRef]
  4. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
    [CrossRef]
  5. M. G. Silveirinha, C. R. Medeiros, C. A. Fernandes, and J. R. Costa, “Experimental verification of broadband superlensing using a metamaterial with an extreme index of refraction,” Phys. Rev. B 81, 033101 (2010).
    [CrossRef]
  6. M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: refractionlike behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).
    [CrossRef]
  7. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “Negative refraction without negative index in metallic photonic crystals,” Opt. Express 11, 746–754 (2003).
    [CrossRef]
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    [CrossRef]
  9. V. M. Shalaev, W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  13. J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
    [CrossRef]
  14. Y. Liu, G. Bartal, and X. Zhang, “All-angle negative refraction and imaging in a bulk medium made of metallic nanowires in the visible region,” Opt. Express 16, 15439–15448 (2008).
    [CrossRef]
  15. D. R. Smith and D. Schurig, “Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors,” Phys. Rev. Lett. 90, 077405 (2003).
    [CrossRef]
  16. B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal–dielectric system,” Phys. Rev. B 74, 115116 (2006).
    [CrossRef]
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    [CrossRef]
  18. Y. Gao, J. P. Huang, Y. M. Liu, L. Gao, K. W. Yu, and X. Zhang, “Optical negative refraction in ferrofluids with magnetocontrollability,” Phys. Rev. Lett. 104, 034501 (2010).
    [CrossRef]
  19. Y. Zhang, B. Fluegel, and A. Mascarenhas, “Total negative refraction in real crystals for ballistic electrons and light,” Phys. Rev. Lett. 91, 157404 (2003).
    [CrossRef]
  20. Y. Lu, P. Wang, P. Yao, J. Xie, and H. Ming, “Negative refraction at the interface of uniaxial anisotropic media,” Opt. Commun. 246, 429–435 (2005).
    [CrossRef]
  21. L. Kang, Q. Zhao, B. Li, and J. Zhou, “Experimental verification of a tunable optical negative refraction in nematic liquid crystals,” Appl. Phys. Lett. 90, 181931 (2007).
    [CrossRef]
  22. G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
    [CrossRef]
  23. Q. Jiang, M. N. Womersley, and P. A. Thomas, “Ferroelectric, conductive, and dielectric properties of KTiOPO4 at low temperature,” Phys. Rev. B 66, 094102 (2002).
    [CrossRef]
  24. J. H. Park, B. C. Choi, and J. B. Kim, “Electrical properties of KTiOPO4 single crystal in the temperature range from −100°C to 100°C,” Solid State Commun. 130, 533–536 (2004).
    [CrossRef]
  25. P. Urenski, N. Gorbatov, and G. Rosenman, “Dielectric relaxation in flux grown KTiOPO4 and isomorphic crystals,” J. Appl. Phys. 89, 1850–1855 (2001).
    [CrossRef]
  26. K. Noda, W. Sakamoto, T. Yogo, and S. Hirano, “Dielectric properties of KTiOPO4 (KTP) single crystals at low temperature,” J. Mater. Sci. Lett. 19, 69–72 (2000).
    [CrossRef]

2010 (2)

M. G. Silveirinha, C. R. Medeiros, C. A. Fernandes, and J. R. Costa, “Experimental verification of broadband superlensing using a metamaterial with an extreme index of refraction,” Phys. Rev. B 81, 033101 (2010).
[CrossRef]

Y. Gao, J. P. Huang, Y. M. Liu, L. Gao, K. W. Yu, and X. Zhang, “Optical negative refraction in ferrofluids with magnetocontrollability,” Phys. Rev. Lett. 104, 034501 (2010).
[CrossRef]

2009 (1)

A. Fang, T. Koschny, and C. M. Soukoulis, “Optical anisotropic metamaterials: negative refraction and focusing,” Phys. Rev. B 79, 245127 (2009).
[CrossRef]

2008 (2)

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Y. Liu, G. Bartal, and X. Zhang, “All-angle negative refraction and imaging in a bulk medium made of metallic nanowires in the visible region,” Opt. Express 16, 15439–15448 (2008).
[CrossRef]

2007 (2)

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1, 41–48 (2007).
[CrossRef]

L. Kang, Q. Zhao, B. Li, and J. Zhou, “Experimental verification of a tunable optical negative refraction in nematic liquid crystals,” Appl. Phys. Lett. 90, 181931 (2007).
[CrossRef]

2006 (3)

S. Zhang, W. Fan, K. J. Malloy, and S. R. J. Brueck, “Demonstration of metal–dielectric negative-index metamaterials with improved performance at optical frequencies,” J. Opt. Soc. Am. B 23, 434–438 (2006).
[CrossRef]

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal–dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

2005 (2)

V. M. Shalaev, W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005).
[CrossRef]

Y. Lu, P. Wang, P. Yao, J. Xie, and H. Ming, “Negative refraction at the interface of uniaxial anisotropic media,” Opt. Commun. 246, 429–435 (2005).
[CrossRef]

2004 (2)

J. H. Park, B. C. Choi, and J. B. Kim, “Electrical properties of KTiOPO4 single crystal in the temperature range from −100°C to 100°C,” Solid State Commun. 130, 533–536 (2004).
[CrossRef]

C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, “Performance of a negative index of refraction lens,” Appl. Phys. Lett. 84, 3232–3234 (2004).
[CrossRef]

2003 (4)

D. R. Smith and D. Schurig, “Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors,” Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “Negative refraction without negative index in metallic photonic crystals,” Opt. Express 11, 746–754 (2003).
[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulo, and C. M. Soukoulis, “Negative refraction by photonic crystals,” Nature 423, 604–605 (2003).
[CrossRef]

Y. Zhang, B. Fluegel, and A. Mascarenhas, “Total negative refraction in real crystals for ballistic electrons and light,” Phys. Rev. Lett. 91, 157404 (2003).
[CrossRef]

2002 (1)

Q. Jiang, M. N. Womersley, and P. A. Thomas, “Ferroelectric, conductive, and dielectric properties of KTiOPO4 at low temperature,” Phys. Rev. B 66, 094102 (2002).
[CrossRef]

2001 (2)

P. Urenski, N. Gorbatov, and G. Rosenman, “Dielectric relaxation in flux grown KTiOPO4 and isomorphic crystals,” J. Appl. Phys. 89, 1850–1855 (2001).
[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[CrossRef]

2000 (3)

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85, 3966–3969 (2000).
[CrossRef]

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: refractionlike behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).
[CrossRef]

K. Noda, W. Sakamoto, T. Yogo, and S. Hirano, “Dielectric properties of KTiOPO4 (KTP) single crystals at low temperature,” J. Mater. Sci. Lett. 19, 69–72 (2000).
[CrossRef]

1988 (1)

G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
[CrossRef]

1968 (1)

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10, 509–514 (1968).
[CrossRef]

Aydin, K.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulo, and C. M. Soukoulis, “Negative refraction by photonic crystals,” Nature 423, 604–605 (2003).
[CrossRef]

Bartal, G.

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Y. Liu, G. Bartal, and X. Zhang, “All-angle negative refraction and imaging in a bulk medium made of metallic nanowires in the visible region,” Opt. Express 16, 15439–15448 (2008).
[CrossRef]

Brehat, F.

G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
[CrossRef]

Brueck, S. R. J.

Cai, W.

Chettiar, U. K.

Choi, B. C.

J. H. Park, B. C. Choi, and J. B. Kim, “Electrical properties of KTiOPO4 single crystal in the temperature range from −100°C to 100°C,” Solid State Commun. 130, 533–536 (2004).
[CrossRef]

Costa, J. R.

M. G. Silveirinha, C. R. Medeiros, C. A. Fernandes, and J. R. Costa, “Experimental verification of broadband superlensing using a metamaterial with an extreme index of refraction,” Phys. Rev. B 81, 033101 (2010).
[CrossRef]

Cubukcu, E.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulo, and C. M. Soukoulis, “Negative refraction by photonic crystals,” Nature 423, 604–605 (2003).
[CrossRef]

Drachev, V. P.

Fan, W.

Fang, A.

A. Fang, T. Koschny, and C. M. Soukoulis, “Optical anisotropic metamaterials: negative refraction and focusing,” Phys. Rev. B 79, 245127 (2009).
[CrossRef]

Fernandes, C. A.

M. G. Silveirinha, C. R. Medeiros, C. A. Fernandes, and J. R. Costa, “Experimental verification of broadband superlensing using a metamaterial with an extreme index of refraction,” Phys. Rev. B 81, 033101 (2010).
[CrossRef]

Fluegel, B.

Y. Zhang, B. Fluegel, and A. Mascarenhas, “Total negative refraction in real crystals for ballistic electrons and light,” Phys. Rev. Lett. 91, 157404 (2003).
[CrossRef]

Fontana, M. D.

G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
[CrossRef]

Foteinopoulo, S.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulo, and C. M. Soukoulis, “Negative refraction by photonic crystals,” Nature 423, 604–605 (2003).
[CrossRef]

Gao, L.

Y. Gao, J. P. Huang, Y. M. Liu, L. Gao, K. W. Yu, and X. Zhang, “Optical negative refraction in ferrofluids with magnetocontrollability,” Phys. Rev. Lett. 104, 034501 (2010).
[CrossRef]

Gao, Y.

Y. Gao, J. P. Huang, Y. M. Liu, L. Gao, K. W. Yu, and X. Zhang, “Optical negative refraction in ferrofluids with magnetocontrollability,” Phys. Rev. Lett. 104, 034501 (2010).
[CrossRef]

Gorbatov, N.

P. Urenski, N. Gorbatov, and G. Rosenman, “Dielectric relaxation in flux grown KTiOPO4 and isomorphic crystals,” J. Appl. Phys. 89, 1850–1855 (2001).
[CrossRef]

Greegor, R. B.

C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, “Performance of a negative index of refraction lens,” Appl. Phys. Lett. 84, 3232–3234 (2004).
[CrossRef]

Hirano, S.

K. Noda, W. Sakamoto, T. Yogo, and S. Hirano, “Dielectric properties of KTiOPO4 (KTP) single crystals at low temperature,” J. Mater. Sci. Lett. 19, 69–72 (2000).
[CrossRef]

Huang, J. P.

Y. Gao, J. P. Huang, Y. M. Liu, L. Gao, K. W. Yu, and X. Zhang, “Optical negative refraction in ferrofluids with magnetocontrollability,” Phys. Rev. Lett. 104, 034501 (2010).
[CrossRef]

Jiang, Q.

Q. Jiang, M. N. Womersley, and P. A. Thomas, “Ferroelectric, conductive, and dielectric properties of KTiOPO4 at low temperature,” Phys. Rev. B 66, 094102 (2002).
[CrossRef]

Joannopoulos, J. D.

Johnson, S. G.

Kang, L.

L. Kang, Q. Zhao, B. Li, and J. Zhou, “Experimental verification of a tunable optical negative refraction in nematic liquid crystals,” Appl. Phys. Lett. 90, 181931 (2007).
[CrossRef]

Kildishev, A. V.

Kim, J. B.

J. H. Park, B. C. Choi, and J. B. Kim, “Electrical properties of KTiOPO4 single crystal in the temperature range from −100°C to 100°C,” Solid State Commun. 130, 533–536 (2004).
[CrossRef]

Koschny, T.

A. Fang, T. Koschny, and C. M. Soukoulis, “Optical anisotropic metamaterials: negative refraction and focusing,” Phys. Rev. B 79, 245127 (2009).
[CrossRef]

Kugel, G. E.

G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
[CrossRef]

Li, B.

L. Kang, Q. Zhao, B. Li, and J. Zhou, “Experimental verification of a tunable optical negative refraction in nematic liquid crystals,” Appl. Phys. Lett. 90, 181931 (2007).
[CrossRef]

Li, K.

C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, “Performance of a negative index of refraction lens,” Appl. Phys. Lett. 84, 3232–3234 (2004).
[CrossRef]

Liu, Y.

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Y. Liu, G. Bartal, and X. Zhang, “All-angle negative refraction and imaging in a bulk medium made of metallic nanowires in the visible region,” Opt. Express 16, 15439–15448 (2008).
[CrossRef]

Liu, Y. M.

Y. Gao, J. P. Huang, Y. M. Liu, L. Gao, K. W. Yu, and X. Zhang, “Optical negative refraction in ferrofluids with magnetocontrollability,” Phys. Rev. Lett. 104, 034501 (2010).
[CrossRef]

Liu, Z.

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Lu, Y.

Y. Lu, P. Wang, P. Yao, J. Xie, and H. Ming, “Negative refraction at the interface of uniaxial anisotropic media,” Opt. Commun. 246, 429–435 (2005).
[CrossRef]

Luo, C.

Malloy, K. J.

Mangin, J.

G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
[CrossRef]

Marnier, G.

G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
[CrossRef]

Mascarenhas, A.

Y. Zhang, B. Fluegel, and A. Mascarenhas, “Total negative refraction in real crystals for ballistic electrons and light,” Phys. Rev. Lett. 91, 157404 (2003).
[CrossRef]

Medeiros, C. R.

M. G. Silveirinha, C. R. Medeiros, C. A. Fernandes, and J. R. Costa, “Experimental verification of broadband superlensing using a metamaterial with an extreme index of refraction,” Phys. Rev. B 81, 033101 (2010).
[CrossRef]

Ming, H.

Y. Lu, P. Wang, P. Yao, J. Xie, and H. Ming, “Negative refraction at the interface of uniaxial anisotropic media,” Opt. Commun. 246, 429–435 (2005).
[CrossRef]

Nedelec, C. C.

G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
[CrossRef]

Nielsen, J. A.

C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, “Performance of a negative index of refraction lens,” Appl. Phys. Lett. 84, 3232–3234 (2004).
[CrossRef]

Noda, K.

K. Noda, W. Sakamoto, T. Yogo, and S. Hirano, “Dielectric properties of KTiOPO4 (KTP) single crystals at low temperature,” J. Mater. Sci. Lett. 19, 69–72 (2000).
[CrossRef]

Notomi, M.

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: refractionlike behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).
[CrossRef]

Ozbay, E.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulo, and C. M. Soukoulis, “Negative refraction by photonic crystals,” Nature 423, 604–605 (2003).
[CrossRef]

Parazzoli, C. G.

C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, “Performance of a negative index of refraction lens,” Appl. Phys. Lett. 84, 3232–3234 (2004).
[CrossRef]

Park, J. H.

J. H. Park, B. C. Choi, and J. B. Kim, “Electrical properties of KTiOPO4 single crystal in the temperature range from −100°C to 100°C,” Solid State Commun. 130, 533–536 (2004).
[CrossRef]

Pendry, J. B.

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal–dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “Negative refraction without negative index in metallic photonic crystals,” Opt. Express 11, 746–754 (2003).
[CrossRef]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85, 3966–3969 (2000).
[CrossRef]

Rosenman, G.

P. Urenski, N. Gorbatov, and G. Rosenman, “Dielectric relaxation in flux grown KTiOPO4 and isomorphic crystals,” J. Appl. Phys. 89, 1850–1855 (2001).
[CrossRef]

Sakamoto, W.

K. Noda, W. Sakamoto, T. Yogo, and S. Hirano, “Dielectric properties of KTiOPO4 (KTP) single crystals at low temperature,” J. Mater. Sci. Lett. 19, 69–72 (2000).
[CrossRef]

Sarychev, A. K.

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[CrossRef]

Schurig, D.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

D. R. Smith and D. Schurig, “Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors,” Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Shalaev, V. M.

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[CrossRef]

Silveirinha, M. G.

M. G. Silveirinha, C. R. Medeiros, C. A. Fernandes, and J. R. Costa, “Experimental verification of broadband superlensing using a metamaterial with an extreme index of refraction,” Phys. Rev. B 81, 033101 (2010).
[CrossRef]

Smith, D. R.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

D. R. Smith and D. Schurig, “Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors,” Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[CrossRef]

Soukoulis, C. M.

A. Fang, T. Koschny, and C. M. Soukoulis, “Optical anisotropic metamaterials: negative refraction and focusing,” Phys. Rev. B 79, 245127 (2009).
[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulo, and C. M. Soukoulis, “Negative refraction by photonic crystals,” Nature 423, 604–605 (2003).
[CrossRef]

Stacy, A. M.

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Sun, C.

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Tanielian, M. H.

C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, “Performance of a negative index of refraction lens,” Appl. Phys. Lett. 84, 3232–3234 (2004).
[CrossRef]

Thomas, P. A.

Q. Jiang, M. N. Womersley, and P. A. Thomas, “Ferroelectric, conductive, and dielectric properties of KTiOPO4 at low temperature,” Phys. Rev. B 66, 094102 (2002).
[CrossRef]

Thompson, M. A.

C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, “Performance of a negative index of refraction lens,” Appl. Phys. Lett. 84, 3232–3234 (2004).
[CrossRef]

Tsai, D. P.

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal–dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

Urenski, P.

P. Urenski, N. Gorbatov, and G. Rosenman, “Dielectric relaxation in flux grown KTiOPO4 and isomorphic crystals,” J. Appl. Phys. 89, 1850–1855 (2001).
[CrossRef]

Veselago, V. G.

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10, 509–514 (1968).
[CrossRef]

Vetter, A. M.

C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, “Performance of a negative index of refraction lens,” Appl. Phys. Lett. 84, 3232–3234 (2004).
[CrossRef]

Wang, P.

Y. Lu, P. Wang, P. Yao, J. Xie, and H. Ming, “Negative refraction at the interface of uniaxial anisotropic media,” Opt. Commun. 246, 429–435 (2005).
[CrossRef]

Wang, Y.

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Womersley, M. N.

Q. Jiang, M. N. Womersley, and P. A. Thomas, “Ferroelectric, conductive, and dielectric properties of KTiOPO4 at low temperature,” Phys. Rev. B 66, 094102 (2002).
[CrossRef]

Wood, B.

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal–dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

Wyncke, B.

G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
[CrossRef]

Xie, J.

Y. Lu, P. Wang, P. Yao, J. Xie, and H. Ming, “Negative refraction at the interface of uniaxial anisotropic media,” Opt. Commun. 246, 429–435 (2005).
[CrossRef]

Yao, J.

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Yao, P.

Y. Lu, P. Wang, P. Yao, J. Xie, and H. Ming, “Negative refraction at the interface of uniaxial anisotropic media,” Opt. Commun. 246, 429–435 (2005).
[CrossRef]

Yogo, T.

K. Noda, W. Sakamoto, T. Yogo, and S. Hirano, “Dielectric properties of KTiOPO4 (KTP) single crystals at low temperature,” J. Mater. Sci. Lett. 19, 69–72 (2000).
[CrossRef]

Yu, K. W.

Y. Gao, J. P. Huang, Y. M. Liu, L. Gao, K. W. Yu, and X. Zhang, “Optical negative refraction in ferrofluids with magnetocontrollability,” Phys. Rev. Lett. 104, 034501 (2010).
[CrossRef]

Yuan, H. K.

Zhang, S.

Zhang, X.

Y. Gao, J. P. Huang, Y. M. Liu, L. Gao, K. W. Yu, and X. Zhang, “Optical negative refraction in ferrofluids with magnetocontrollability,” Phys. Rev. Lett. 104, 034501 (2010).
[CrossRef]

Y. Liu, G. Bartal, and X. Zhang, “All-angle negative refraction and imaging in a bulk medium made of metallic nanowires in the visible region,” Opt. Express 16, 15439–15448 (2008).
[CrossRef]

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Zhang, Y.

Y. Zhang, B. Fluegel, and A. Mascarenhas, “Total negative refraction in real crystals for ballistic electrons and light,” Phys. Rev. Lett. 91, 157404 (2003).
[CrossRef]

Zhao, Q.

L. Kang, Q. Zhao, B. Li, and J. Zhou, “Experimental verification of a tunable optical negative refraction in nematic liquid crystals,” Appl. Phys. Lett. 90, 181931 (2007).
[CrossRef]

Zhou, J.

L. Kang, Q. Zhao, B. Li, and J. Zhou, “Experimental verification of a tunable optical negative refraction in nematic liquid crystals,” Appl. Phys. Lett. 90, 181931 (2007).
[CrossRef]

Appl. Phys. Lett. (2)

C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, “Performance of a negative index of refraction lens,” Appl. Phys. Lett. 84, 3232–3234 (2004).
[CrossRef]

L. Kang, Q. Zhao, B. Li, and J. Zhou, “Experimental verification of a tunable optical negative refraction in nematic liquid crystals,” Appl. Phys. Lett. 90, 181931 (2007).
[CrossRef]

J. Appl. Phys. (1)

P. Urenski, N. Gorbatov, and G. Rosenman, “Dielectric relaxation in flux grown KTiOPO4 and isomorphic crystals,” J. Appl. Phys. 89, 1850–1855 (2001).
[CrossRef]

J. Mater. Sci. Lett. (1)

K. Noda, W. Sakamoto, T. Yogo, and S. Hirano, “Dielectric properties of KTiOPO4 (KTP) single crystals at low temperature,” J. Mater. Sci. Lett. 19, 69–72 (2000).
[CrossRef]

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

J. Phys. C: Solid State Phys. (1)

G. E. Kugel, F. Brehat, B. Wyncke, M. D. Fontana, G. Marnier, C. C. Nedelec, and J. Mangin, “The vibrational spectrum of a KTiOPO4 single crystal studied by Raman and infrared reflectivity spectroscopy,” J. Phys. C: Solid State Phys. 21, 5565–5583 (1988).
[CrossRef]

Nat. Photonics (1)

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1, 41–48 (2007).
[CrossRef]

Nature (1)

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulo, and C. M. Soukoulis, “Negative refraction by photonic crystals,” Nature 423, 604–605 (2003).
[CrossRef]

Opt. Commun. (1)

Y. Lu, P. Wang, P. Yao, J. Xie, and H. Ming, “Negative refraction at the interface of uniaxial anisotropic media,” Opt. Commun. 246, 429–435 (2005).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. B (5)

M. G. Silveirinha, C. R. Medeiros, C. A. Fernandes, and J. R. Costa, “Experimental verification of broadband superlensing using a metamaterial with an extreme index of refraction,” Phys. Rev. B 81, 033101 (2010).
[CrossRef]

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: refractionlike behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).
[CrossRef]

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal–dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

A. Fang, T. Koschny, and C. M. Soukoulis, “Optical anisotropic metamaterials: negative refraction and focusing,” Phys. Rev. B 79, 245127 (2009).
[CrossRef]

Q. Jiang, M. N. Womersley, and P. A. Thomas, “Ferroelectric, conductive, and dielectric properties of KTiOPO4 at low temperature,” Phys. Rev. B 66, 094102 (2002).
[CrossRef]

Phys. Rev. Lett. (4)

D. R. Smith and D. Schurig, “Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors,” Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Y. Gao, J. P. Huang, Y. M. Liu, L. Gao, K. W. Yu, and X. Zhang, “Optical negative refraction in ferrofluids with magnetocontrollability,” Phys. Rev. Lett. 104, 034501 (2010).
[CrossRef]

Y. Zhang, B. Fluegel, and A. Mascarenhas, “Total negative refraction in real crystals for ballistic electrons and light,” Phys. Rev. Lett. 91, 157404 (2003).
[CrossRef]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85, 3966–3969 (2000).
[CrossRef]

Science (3)

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, “Optical negative refraction in bulk metamaterials of nanowires,” Science 321, 930 (2008).
[CrossRef]

Solid State Commun. (1)

J. H. Park, B. C. Choi, and J. B. Kim, “Electrical properties of KTiOPO4 single crystal in the temperature range from −100°C to 100°C,” Solid State Commun. 130, 533–536 (2004).
[CrossRef]

Sov. Phys. Usp. (1)

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10, 509–514 (1968).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

Negative refraction at the interface between the free space (circular EFC) and the indefinite media (hyperbolic EFC).

Fig. 2.
Fig. 2.

XRD pattern of KTP single crystal measured from the optical quality surface.

Fig. 3.
Fig. 3.

Reflectivity of KTP single crystal for (a) Ec axis and (b) Ec axis. The curves are calculated from the oscillator model and the points are the experimental values.

Fig. 4.
Fig. 4.

Dielectric dispersion curves of KTP single crystal. (a) Real part. (b) Imaginary part.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

ε(ω)=ε+jΔεjωjTO2ωjTO2ω2iγjTOω,
kz2εx+kx2εz=(ωc)2,
R=|ε(ω)1ε(ω)+1|2.
R=|ε(ω)cosθε(ω)+sinθ|2.

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