Abstract

The Kerr nonlinearity of a left-handed material is analyzed in a four-level atomic system. It is shown that, due to the effect of quantum interference, a large enhanced Kerr nonlinearity accompanied by vanishing absorption can be realized via choosing appropriate parameters in this negative refraction atomic medium. It not only shows the large nonlinearity but also acts as the phase and amplitude compensating effects.

© 2008 Chinese Optics Letters

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2007 (3)

2006 (3)

2005 (1)

A. A. Zharov, N. A. Zharova, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 87, 091104 (2005).

2004 (9)

X. Hu and J. Xu, Phys. Rev. A 69, 043812 (2004).

Y. Wu and L. Deng, Opt. Lett. 29, 2064 (2004).

M. O. Oktel and O. E. M�stecaplioglu, Phys. Rev. A 70, 053806 (2004).

J. Q. Shen, Z. C. Ruan, and S. He, J. Zhejiang Univ. Science (in Chinese) 5, 1322 (2004).

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thyl�n, A. Talneau, and S. Anand, Phys. Rev. Lett. 93, 73902 (2004).

L. Chen, S. He, and L. Shen, Phys. Rev. Lett. 92, 107404 (2004).

A. Lakhtakia, Int. J. Electron. Commun. (AEU) 58, 229 (2004).

X. Chen and C. F. Li, Phys. Rev. E 69, 066617 (2004).

L. Feng, X. Liu, M. Lu, and Y. Chen, Phys. Lett. A 332, 449 (2004).

2003 (4)

D. Schurig and D. R. Smith, Appl. Phys. Lett. 82, 2215 (2003).

J. Pendry, Nature 423, 22 (2003).

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature (London) 423, 604 (2003).

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. Lett. 91, 037401 (2003).

2002 (1)

G. V. Eleftheriades, A. K. Iyer, and P. C. Kremer, IEEE Trans. Microwave Theory Tech. 50, 2702 (2002).

2001 (3)

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).

J. M. Williams, Phys. Rev. Lett. 87, 249703 (2001).

J. Pendry, ibid. 87, 249704 (2001).

2000 (1)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).

1996 (1)

1990 (1)

S. E. Harris, J. E. Field, and A. Imamoglou, Phys. Rev. Lett. 64, 1107 (1990).

1968 (1)

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

Anand, S.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thyl�n, A. Talneau, and S. Anand, Phys. Rev. Lett. 93, 73902 (2004).

Aydin, K.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature (London) 423, 604 (2003).

Berrier, A.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thyl�n, A. Talneau, and S. Anand, Phys. Rev. Lett. 93, 73902 (2004).

Chen, L.

L. Chen, S. He, and L. Shen, Phys. Rev. Lett. 92, 107404 (2004).

Chen, X.

X. Chen and C. F. Li, Phys. Rev. E 69, 066617 (2004).

Chen, Y.

L. Feng, X. Liu, M. Lu, and Y. Chen, Phys. Lett. A 332, 449 (2004).

Cubukcu, E.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature (London) 423, 604 (2003).

Deng, L.

Eleftheriades, G. V.

G. V. Eleftheriades, A. K. Iyer, and P. C. Kremer, IEEE Trans. Microwave Theory Tech. 50, 2702 (2002).

Feng, L.

L. Feng, X. Liu, M. Lu, and Y. Chen, Phys. Lett. A 332, 449 (2004).

Field, J. E.

S. E. Harris, J. E. Field, and A. Imamoglou, Phys. Rev. Lett. 64, 1107 (1990).

Fleischhauer, M.

J. Kastel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, Phys. Rev. Lett. 99, 073602 (2007).

Foteinopoulou, S.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature (London) 423, 604 (2003).

Gabitov, I. R.

Gong, S.

Harris, S. E.

S. E. Harris, J. E. Field, and A. Imamoglou, Phys. Rev. Lett. 64, 1107 (1990).

He, S.

L. Chen, S. He, and L. Shen, Phys. Rev. Lett. 92, 107404 (2004).

J. Q. Shen, Z. C. Ruan, and S. He, J. Zhejiang Univ. Science (in Chinese) 5, 1322 (2004).

Hu, X.

X. Hu and J. Xu, Phys. Rev. A 69, 043812 (2004).

Imamoglou, A.

S. E. Harris, J. E. Field, and A. Imamoglou, Phys. Rev. Lett. 64, 1107 (1990).

Imamoglu, A.

Iyer, A. K.

G. V. Eleftheriades, A. K. Iyer, and P. C. Kremer, IEEE Trans. Microwave Theory Tech. 50, 2702 (2002).

Jin, S.

Kastel, J.

J. Kastel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, Phys. Rev. Lett. 99, 073602 (2007).

Kivshar, Y. S.

I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, J. Opt. Soc. Am. B 23, 529 (2006).

A. A. Zharov, N. A. Zharova, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 87, 091104 (2005).

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. Lett. 91, 037401 (2003).

Kremer, P. C.

G. V. Eleftheriades, A. K. Iyer, and P. C. Kremer, IEEE Trans. Microwave Theory Tech. 50, 2702 (2002).

Lakhtakia, A.

A. Lakhtakia, Int. J. Electron. Commun. (AEU) 58, 229 (2004).

Li, C. F.

X. Chen and C. F. Li, Phys. Rev. E 69, 066617 (2004).

Li, R.

Litchinitser, N. M.

Liu, X.

L. Feng, X. Liu, M. Lu, and Y. Chen, Phys. Lett. A 332, 449 (2004).

Lu, M.

L. Feng, X. Liu, M. Lu, and Y. Chen, Phys. Lett. A 332, 449 (2004).

M?stecaplioglu, O. E.

M. O. Oktel and O. E. M�stecaplioglu, Phys. Rev. A 70, 053806 (2004).

Maimistov, A. I.

Mandel, P.

Q. Thommen and P. Mandel, Phys. Rev. Lett. 96, 053601 (2006).

Mulot, M.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thyl�n, A. Talneau, and S. Anand, Phys. Rev. Lett. 93, 73902 (2004).

Niu, Y.

Oktel, M. O.

M. O. Oktel and O. E. M�stecaplioglu, Phys. Rev. A 70, 053806 (2004).

Ozbay, E.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature (London) 423, 604 (2003).

Pendry, J.

J. Pendry, Nature 423, 22 (2003).

J. Pendry, ibid. 87, 249704 (2001).

Pendry, J. B.

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).

Popvov, A. K.

Qiu, M.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thyl�n, A. Talneau, and S. Anand, Phys. Rev. Lett. 93, 73902 (2004).

Ruan, Z. C.

J. Q. Shen, Z. C. Ruan, and S. He, J. Zhejiang Univ. Science (in Chinese) 5, 1322 (2004).

Schmidt, H.

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).

Schurig, D.

D. Schurig and D. R. Smith, Appl. Phys. Lett. 82, 2215 (2003).

Shadrivov, I. V.

I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, J. Opt. Soc. Am. B 23, 529 (2006).

A. A. Zharov, N. A. Zharova, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 87, 091104 (2005).

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. Lett. 91, 037401 (2003).

Shalaev, V. M.

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).

Shen, J. Q.

J. Q. Shen, Z. C. Ruan, and S. He, J. Zhejiang Univ. Science (in Chinese) 5, 1322 (2004).

Shen, L.

L. Chen, S. He, and L. Shen, Phys. Rev. Lett. 92, 107404 (2004).

Smith, D. R.

D. Schurig and D. R. Smith, Appl. Phys. Lett. 82, 2215 (2003).

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).

Soukoulis, C. M.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature (London) 423, 604 (2003).

Swillo, M.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thyl�n, A. Talneau, and S. Anand, Phys. Rev. Lett. 93, 73902 (2004).

Talneau, A.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thyl�n, A. Talneau, and S. Anand, Phys. Rev. Lett. 93, 73902 (2004).

Thommen, Q.

Q. Thommen and P. Mandel, Phys. Rev. Lett. 96, 053601 (2006).

Thyl?n, L.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thyl�n, A. Talneau, and S. Anand, Phys. Rev. Lett. 93, 73902 (2004).

Veselago, V. G.

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

Walsworth, R. L.

J. Kastel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, Phys. Rev. Lett. 99, 073602 (2007).

Williams, J. M.

J. M. Williams, Phys. Rev. Lett. 87, 249703 (2001).

Wu, Y.

Xu, J.

X. Hu and J. Xu, Phys. Rev. A 69, 043812 (2004).

Yelin, S. F.

J. Kastel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, Phys. Rev. Lett. 99, 073602 (2007).

Zhang, H.

Zharov, A. A.

I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, J. Opt. Soc. Am. B 23, 529 (2006).

A. A. Zharov, N. A. Zharova, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 87, 091104 (2005).

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. Lett. 91, 037401 (2003).

Zharova, N. A.

A. A. Zharov, N. A. Zharova, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 87, 091104 (2005).

Appl. Phys. Lett. (2)

D. Schurig and D. R. Smith, Appl. Phys. Lett. 82, 2215 (2003).

A. A. Zharov, N. A. Zharova, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 87, 091104 (2005).

Chin. Opt. Lett. (1)

ibid. (1)

J. Pendry, ibid. 87, 249704 (2001).

IEEE Trans. Microwave Theory Tech. (1)

G. V. Eleftheriades, A. K. Iyer, and P. C. Kremer, IEEE Trans. Microwave Theory Tech. 50, 2702 (2002).

Int. J. Electron. Commun. (AEU) (1)

A. Lakhtakia, Int. J. Electron. Commun. (AEU) 58, 229 (2004).

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

J. Zhejiang Univ. Science (in Chinese) (1)

J. Q. Shen, Z. C. Ruan, and S. He, J. Zhejiang Univ. Science (in Chinese) 5, 1322 (2004).

Nature (1)

J. Pendry, Nature 423, 22 (2003).

Nature (London) (1)

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature (London) 423, 604 (2003).

Opt. Lett. (4)

Phys. Lett. A (1)

L. Feng, X. Liu, M. Lu, and Y. Chen, Phys. Lett. A 332, 449 (2004).

Phys. Rev. A (2)

M. O. Oktel and O. E. M�stecaplioglu, Phys. Rev. A 70, 053806 (2004).

X. Hu and J. Xu, Phys. Rev. A 69, 043812 (2004).

Phys. Rev. E (1)

X. Chen and C. F. Li, Phys. Rev. E 69, 066617 (2004).

Phys. Rev. Lett. (8)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).

L. Chen, S. He, and L. Shen, Phys. Rev. Lett. 92, 107404 (2004).

J. M. Williams, Phys. Rev. Lett. 87, 249703 (2001).

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thyl�n, A. Talneau, and S. Anand, Phys. Rev. Lett. 93, 73902 (2004).

Q. Thommen and P. Mandel, Phys. Rev. Lett. 96, 053601 (2006).

J. Kastel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, Phys. Rev. Lett. 99, 073602 (2007).

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. Lett. 91, 037401 (2003).

S. E. Harris, J. E. Field, and A. Imamoglou, Phys. Rev. Lett. 64, 1107 (1990).

Science (1)

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).

Sov. Phys. Usp. (1)

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

Other (3)

J. D. Jackson, Classical Electrodynamics (3rd edn.) (Wiley, New York, 1999) p.162.

D. M. Cook, Theory of the Electromagmetic Field (Prentice-Hall, New Jersey, 1975) p.316.

R. W. Boyd, Nonlinear Optics (Academic, New York, 1992) p.3.

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