Abstract

We demonstrate a photonic band gap (PBG) from one-dimensional (1D) periodic structures created by a double-layer unit cell with an air layer and an anisotropic nonmagnetic left-handed metamaterial (LHM) layer whose permittivity elements are partially negative. The requirements imposed on the materials and structures to realize a PBG are derived when the frequency is above or below the cutoff frequency, and the transmission properties of the PBG are discussed by utilizing 4�4 transfer-matrix method with dispersive semiconductor metamaterial.

© 2010 Chinese Optics Letters

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2009 (1)

2008 (5)

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

X. Zhang, J. Zhao, and L. Cui, Acta Opt. Sin. (in Chinese) 28, 1379 (2008).

G. Liu, Y. Liao, and Z. Liu, Acta Opt. Sin. (in Chinese) 28, 2400 (2008).

L. Wang, Z. Wang, T. Sang, F. Wang, Y. Wu, and L. Chen, Chin. Opt. Lett. 6, 198 (2008).

X. Li, K. Xie, and H Jiang, Chin. Opt. Lett. 6, 130 (2008).

2007 (1)

S. Sun, X. Huang, and L. Zhou, Phys. Rev. E 75, 066602 (2007).

2005 (3)

V. A. Podolskiy and E. E. Narimanov, Phys. Rev. B 71, 201101(R) (2005).

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 193903 (2005).

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Proc. SPIE 6038, 60380Z (2005).

2004 (2)

H. Jiang, H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, Phys. Rev. E 69, 066607 (2004).

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).

2003 (1)

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).

2001 (1)

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

1968 (1)

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

Cai, L.

Chan, C. T.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).

Chen, H.

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).

H. Jiang, H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, Phys. Rev. E 69, 066607 (2004).

Chen, L.

Cui, L.

X. Zhang, J. Zhao, and L. Cui, Acta Opt. Sin. (in Chinese) 28, 1379 (2008).

Hao, J.

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

Huang, X.

S. Sun, X. Huang, and L. Zhou, Phys. Rev. E 75, 066602 (2007).

Jiang, H

Jiang, H.

H. Jiang, H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, Phys. Rev. E 69, 066607 (2004).

Kivshar, Y. S.

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 193903 (2005).

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Proc. SPIE 6038, 60380Z (2005).

Kong, J.

Li, H.

H. Jiang, H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, Phys. Rev. E 69, 066607 (2004).

Li, J.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).

Li, X.

Liao, Y.

G. Liu, Y. Liao, and Z. Liu, Acta Opt. Sin. (in Chinese) 28, 2400 (2008).

Liu, G.

G. Liu, Y. Liao, and Z. Liu, Acta Opt. Sin. (in Chinese) 28, 2400 (2008).

Liu, Z.

G. Liu, Y. Liao, and Z. Liu, Acta Opt. Sin. (in Chinese) 28, 2400 (2008).

Narimanov, E. E.

V. A. Podolskiy and E. E. Narimanov, Phys. Rev. B 71, 201101(R) (2005).

Podolskiy, V. A.

V. A. Podolskiy and E. E. Narimanov, Phys. Rev. B 71, 201101(R) (2005).

Sang, T.

Schultz, S.

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

Shadrivov, I. V.

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Proc. SPIE 6038, 60380Z (2005).

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 193903 (2005).

Shelby, R. A.

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

Sheng, P.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).

Smith, D. R.

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

Sukhorukov, A. A.

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 193903 (2005).

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Proc. SPIE 6038, 60380Z (2005).

Sun, S.

S. Sun, X. Huang, and L. Zhou, Phys. Rev. E 75, 066602 (2007).

Veselago, V. G.

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

Wang, F.

Wang, L.

Wang, L.-G.

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).

Wang, Z.

Wu, Y.

Xie, K.

Yang, H.

Zhang, W.

Zhang, X.

X. Zhang, J. Zhao, and L. Cui, Acta Opt. Sin. (in Chinese) 28, 1379 (2008).

Zhang, Y.

H. Jiang, H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, Phys. Rev. E 69, 066607 (2004).

Zhao, J.

X. Zhang, J. Zhao, and L. Cui, Acta Opt. Sin. (in Chinese) 28, 1379 (2008).

Zhou, L.

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

S. Sun, X. Huang, and L. Zhou, Phys. Rev. E 75, 066602 (2007).

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).

Zhou, M.

Zhu, S.

H. Jiang, H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, Phys. Rev. E 69, 066607 (2004).

Zhu, S.-Y.

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).

Zi, J.

H. Jiang, H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, Phys. Rev. E 69, 066607 (2004).

Acta Opt. Sin. (in Chinese) (2)

X. Zhang, J. Zhao, and L. Cui, Acta Opt. Sin. (in Chinese) 28, 1379 (2008).

G. Liu, Y. Liao, and Z. Liu, Acta Opt. Sin. (in Chinese) 28, 2400 (2008).

Chin. Opt. Lett. (3)

Phys. Rev. B (3)

V. A. Podolskiy and E. E. Narimanov, Phys. Rev. B 71, 201101(R) (2005).

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

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).

Phys. Rev. E (2)

H. Jiang, H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, Phys. Rev. E 69, 066607 (2004).

S. Sun, X. Huang, and L. Zhou, Phys. Rev. E 75, 066602 (2007).

Phys. Rev. Lett. (2)

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 193903 (2005).

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).

Proc. SPIE (1)

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Proc. SPIE 6038, 60380Z (2005).

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. B. Pendry, in Progress in Electromagnetics Research Symposium 2005, 23 (2005).

A. J. Hoffman, L. Alekseyev, E. E. Narimanov, C. Gmachl, and D. L. Sivco, in Technical Digest of Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems Technologies QWH2 (2007).

A. J. Hoffman, L. Alekseyev, S. S. Howard, K. J. Franz, D. Wasserman, V. A. Poldolskiy, E. E. Narimanov, D. L. Sivco, and C. Gmachl, "Supplementary information for 'Negative refraction in semiconductor metamaterials' " http://www.nature.com/nmat/journal/v6/n12/extref/nmat2033-s1.pdf (2007).

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