Abstract

The resonant frequency determined by octagonal split resonant rings (SRRs) is presented and analyzed. The simulated results show that the resonant frequency improves when the opening size of the SRRs becomes larger, and that enhancement of the coupling degree can improve the resonant frequency and widen the band. Four samples are designed to implement the experimental measurement. The results show that the bandwidth of the resonant frequency becomes wider when the thickness of the substrate becomes thinner, and the resonant frequency is shifted by changing the cell size. It is demonstrated that the experimental results show good agreement with the theoretical analysis.

© 2010 Optical Society of America

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  1. G. V. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10, 509–514 (1968).
    [CrossRef]
  2. R. A. Shelby, D. R. Smith, and S. Schulz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
    [CrossRef] [PubMed]
  3. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187(2000).
    [CrossRef] [PubMed]
  4. T. Jiang, Y. Chen, and Y.-J. Feng, “Subwavelength rectangular cavity partially filled with left-handed materials,” Chin. Phys. 15, 1154–1160 (2006).
    [CrossRef]
  5. K. Aydin, K. Guven, M. Kafesaki, L. Zhang, C. M. Soukoulis, and E. Ozbay, “Experimental observation of true left-handed transmission peaks in metamaterials,” Opt. Lett. 29, 2623–2625 (2004).
    [CrossRef] [PubMed]
  6. Y.-H. Hu, X.-Q. Fu, S.-C. Wen, W.-H. Su, and D.-Y. Fan, “(3+1)-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material,” Chin. Phys. 15, 2970–2976 (2006).
    [CrossRef]
  7. H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
    [CrossRef]
  8. J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
    [CrossRef]
  9. Q. Zheng, X.-P. Zhao, Q.-H. Fu, Q. Zhao, L. Kang, and M.-M. Li, “Reflection and negative refraction of left-handed metematerials at microwave frequencies,” Acta Phys. Sin. 54, 5683–5687(2005).
  10. M.-Z. Sun, C.-M. Zhang, X.-P. Song, G.-Y. Liang, and Z.-B. Sun, “Study on new period structures of left-handed material based on rectangular resonators and metal wires,” Acta Phys. Sin. 58, 6179–6184 (2009).
  11. C.-M. Zhang, M.-Z. Sun, Z.-L. Yuan, and X.-P. Song, “Study on new period structures of left-handed material composed of hexagonal SRRs and metal wires,” Acta Phys. Sin. 58, 1758–1764 (2009).
  12. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
    [CrossRef]
  13. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76, 4773–4776 (1996).
    [CrossRef] [PubMed]
  14. C.-M. Zhang, Z.-L. Yuan, M.-Z. Sun, J.-F. Wu, and P. Gao, “Miniaturized periodic structures of left-handed materials,” Appl. Opt. 49, 281–285 (2010).
    [CrossRef] [PubMed]
  15. C.-M. Zhang and X.-H. Jian, “Wide-spectrum reconstruction method for a birefringence interference imaging spectrometer,” Opt. Lett. 35, 366–368 (2010).
    [CrossRef] [PubMed]
  16. C.-M. Zhang, B.-C. Zhao, Z.-L. Yuan, and W.-J. Huang, “Analysis of signal-to-noise ratio of ultra-compact static polarization interference imaging spectrometer,” J. Opt. A Pure Appl. Opt. 11, 085401 (2009).
    [CrossRef]
  17. T.-K. Mu, C.-M. Zhang, and B.-C. Zhao, “Principle and analysis of a polarization imaging spectrometer,” Appl. Opt. 48, 2333–2339 (2009).
    [CrossRef] [PubMed]

2010 (2)

2009 (4)

C.-M. Zhang, B.-C. Zhao, Z.-L. Yuan, and W.-J. Huang, “Analysis of signal-to-noise ratio of ultra-compact static polarization interference imaging spectrometer,” J. Opt. A Pure Appl. Opt. 11, 085401 (2009).
[CrossRef]

T.-K. Mu, C.-M. Zhang, and B.-C. Zhao, “Principle and analysis of a polarization imaging spectrometer,” Appl. Opt. 48, 2333–2339 (2009).
[CrossRef] [PubMed]

M.-Z. Sun, C.-M. Zhang, X.-P. Song, G.-Y. Liang, and Z.-B. Sun, “Study on new period structures of left-handed material based on rectangular resonators and metal wires,” Acta Phys. Sin. 58, 6179–6184 (2009).

C.-M. Zhang, M.-Z. Sun, Z.-L. Yuan, and X.-P. Song, “Study on new period structures of left-handed material composed of hexagonal SRRs and metal wires,” Acta Phys. Sin. 58, 1758–1764 (2009).

2006 (2)

T. Jiang, Y. Chen, and Y.-J. Feng, “Subwavelength rectangular cavity partially filled with left-handed materials,” Chin. Phys. 15, 1154–1160 (2006).
[CrossRef]

Y.-H. Hu, X.-Q. Fu, S.-C. Wen, W.-H. Su, and D.-Y. Fan, “(3+1)-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material,” Chin. Phys. 15, 2970–2976 (2006).
[CrossRef]

2005 (1)

Q. Zheng, X.-P. Zhao, Q.-H. Fu, Q. Zhao, L. Kang, and M.-M. Li, “Reflection and negative refraction of left-handed metematerials at microwave frequencies,” Acta Phys. Sin. 54, 5683–5687(2005).

2004 (3)

H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
[CrossRef]

J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
[CrossRef]

K. Aydin, K. Guven, M. Kafesaki, L. Zhang, C. M. Soukoulis, and E. Ozbay, “Experimental observation of true left-handed transmission peaks in metamaterials,” Opt. Lett. 29, 2623–2625 (2004).
[CrossRef] [PubMed]

2001 (1)

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

2000 (1)

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187(2000).
[CrossRef] [PubMed]

1999 (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[CrossRef]

1996 (1)

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76, 4773–4776 (1996).
[CrossRef] [PubMed]

1968 (1)

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

Aydin, K.

Chen, H.

H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
[CrossRef]

J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
[CrossRef]

Chen, K.

H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
[CrossRef]

J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
[CrossRef]

Chen, Y.

T. Jiang, Y. Chen, and Y.-J. Feng, “Subwavelength rectangular cavity partially filled with left-handed materials,” Chin. Phys. 15, 1154–1160 (2006).
[CrossRef]

Fan, D.-Y.

Y.-H. Hu, X.-Q. Fu, S.-C. Wen, W.-H. Su, and D.-Y. Fan, “(3+1)-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material,” Chin. Phys. 15, 2970–2976 (2006).
[CrossRef]

Feng, Y.-J.

T. Jiang, Y. Chen, and Y.-J. Feng, “Subwavelength rectangular cavity partially filled with left-handed materials,” Chin. Phys. 15, 1154–1160 (2006).
[CrossRef]

Fu, Q.-H.

Q. Zheng, X.-P. Zhao, Q.-H. Fu, Q. Zhao, L. Kang, and M.-M. Li, “Reflection and negative refraction of left-handed metematerials at microwave frequencies,” Acta Phys. Sin. 54, 5683–5687(2005).

Fu, X.-Q.

Y.-H. Hu, X.-Q. Fu, S.-C. Wen, W.-H. Su, and D.-Y. Fan, “(3+1)-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material,” Chin. Phys. 15, 2970–2976 (2006).
[CrossRef]

Gao, P.

Grzegorczyk, T. M.

J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
[CrossRef]

H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
[CrossRef]

Guven, K.

Holden, A. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[CrossRef]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76, 4773–4776 (1996).
[CrossRef] [PubMed]

Hu, Y.-H.

Y.-H. Hu, X.-Q. Fu, S.-C. Wen, W.-H. Su, and D.-Y. Fan, “(3+1)-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material,” Chin. Phys. 15, 2970–2976 (2006).
[CrossRef]

Huang, W.-J.

C.-M. Zhang, B.-C. Zhao, Z.-L. Yuan, and W.-J. Huang, “Analysis of signal-to-noise ratio of ultra-compact static polarization interference imaging spectrometer,” J. Opt. A Pure Appl. Opt. 11, 085401 (2009).
[CrossRef]

Huangfu, J.

H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
[CrossRef]

J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
[CrossRef]

Jian, X.-H.

Jiang, T.

T. Jiang, Y. Chen, and Y.-J. Feng, “Subwavelength rectangular cavity partially filled with left-handed materials,” Chin. Phys. 15, 1154–1160 (2006).
[CrossRef]

Jin, A. K.

H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
[CrossRef]

J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
[CrossRef]

Kafesaki, M.

Kang, L.

Q. Zheng, X.-P. Zhao, Q.-H. Fu, Q. Zhao, L. Kang, and M.-M. Li, “Reflection and negative refraction of left-handed metematerials at microwave frequencies,” Acta Phys. Sin. 54, 5683–5687(2005).

Li, M.-M.

Q. Zheng, X.-P. Zhao, Q.-H. Fu, Q. Zhao, L. Kang, and M.-M. Li, “Reflection and negative refraction of left-handed metematerials at microwave frequencies,” Acta Phys. Sin. 54, 5683–5687(2005).

Liang, G.-Y.

M.-Z. Sun, C.-M. Zhang, X.-P. Song, G.-Y. Liang, and Z.-B. Sun, “Study on new period structures of left-handed material based on rectangular resonators and metal wires,” Acta Phys. Sin. 58, 6179–6184 (2009).

Mu, T.-K.

Nemat-Nasser, S. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187(2000).
[CrossRef] [PubMed]

Ozbay, E.

Padilla, W. J.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187(2000).
[CrossRef] [PubMed]

Pendry, J. B.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[CrossRef]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76, 4773–4776 (1996).
[CrossRef] [PubMed]

Ran, L.

H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
[CrossRef]

J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
[CrossRef]

Robbins, D. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[CrossRef]

Schultz, S.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187(2000).
[CrossRef] [PubMed]

Schulz, S.

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

Shelby, R. A.

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

Smith, D. R.

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

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187(2000).
[CrossRef] [PubMed]

Song, X.-P.

M.-Z. Sun, C.-M. Zhang, X.-P. Song, G.-Y. Liang, and Z.-B. Sun, “Study on new period structures of left-handed material based on rectangular resonators and metal wires,” Acta Phys. Sin. 58, 6179–6184 (2009).

C.-M. Zhang, M.-Z. Sun, Z.-L. Yuan, and X.-P. Song, “Study on new period structures of left-handed material composed of hexagonal SRRs and metal wires,” Acta Phys. Sin. 58, 1758–1764 (2009).

Soukoulis, C. M.

Stewart, W. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[CrossRef]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76, 4773–4776 (1996).
[CrossRef] [PubMed]

Su, W.-H.

Y.-H. Hu, X.-Q. Fu, S.-C. Wen, W.-H. Su, and D.-Y. Fan, “(3+1)-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material,” Chin. Phys. 15, 2970–2976 (2006).
[CrossRef]

Sun, M.-Z.

C.-M. Zhang, Z.-L. Yuan, M.-Z. Sun, J.-F. Wu, and P. Gao, “Miniaturized periodic structures of left-handed materials,” Appl. Opt. 49, 281–285 (2010).
[CrossRef] [PubMed]

C.-M. Zhang, M.-Z. Sun, Z.-L. Yuan, and X.-P. Song, “Study on new period structures of left-handed material composed of hexagonal SRRs and metal wires,” Acta Phys. Sin. 58, 1758–1764 (2009).

M.-Z. Sun, C.-M. Zhang, X.-P. Song, G.-Y. Liang, and Z.-B. Sun, “Study on new period structures of left-handed material based on rectangular resonators and metal wires,” Acta Phys. Sin. 58, 6179–6184 (2009).

Sun, Z.-B.

M.-Z. Sun, C.-M. Zhang, X.-P. Song, G.-Y. Liang, and Z.-B. Sun, “Study on new period structures of left-handed material based on rectangular resonators and metal wires,” Acta Phys. Sin. 58, 6179–6184 (2009).

Veselago, G. V.

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

Vier, D. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187(2000).
[CrossRef] [PubMed]

Wen, S.-C.

Y.-H. Hu, X.-Q. Fu, S.-C. Wen, W.-H. Su, and D.-Y. Fan, “(3+1)-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material,” Chin. Phys. 15, 2970–2976 (2006).
[CrossRef]

Wu, J.-F.

Youngs, I.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76, 4773–4776 (1996).
[CrossRef] [PubMed]

Yuan, Z.-L.

C.-M. Zhang, Z.-L. Yuan, M.-Z. Sun, J.-F. Wu, and P. Gao, “Miniaturized periodic structures of left-handed materials,” Appl. Opt. 49, 281–285 (2010).
[CrossRef] [PubMed]

C.-M. Zhang, B.-C. Zhao, Z.-L. Yuan, and W.-J. Huang, “Analysis of signal-to-noise ratio of ultra-compact static polarization interference imaging spectrometer,” J. Opt. A Pure Appl. Opt. 11, 085401 (2009).
[CrossRef]

C.-M. Zhang, M.-Z. Sun, Z.-L. Yuan, and X.-P. Song, “Study on new period structures of left-handed material composed of hexagonal SRRs and metal wires,” Acta Phys. Sin. 58, 1758–1764 (2009).

Zhang, C.-M.

C.-M. Zhang, Z.-L. Yuan, M.-Z. Sun, J.-F. Wu, and P. Gao, “Miniaturized periodic structures of left-handed materials,” Appl. Opt. 49, 281–285 (2010).
[CrossRef] [PubMed]

C.-M. Zhang and X.-H. Jian, “Wide-spectrum reconstruction method for a birefringence interference imaging spectrometer,” Opt. Lett. 35, 366–368 (2010).
[CrossRef] [PubMed]

C.-M. Zhang, B.-C. Zhao, Z.-L. Yuan, and W.-J. Huang, “Analysis of signal-to-noise ratio of ultra-compact static polarization interference imaging spectrometer,” J. Opt. A Pure Appl. Opt. 11, 085401 (2009).
[CrossRef]

C.-M. Zhang, M.-Z. Sun, Z.-L. Yuan, and X.-P. Song, “Study on new period structures of left-handed material composed of hexagonal SRRs and metal wires,” Acta Phys. Sin. 58, 1758–1764 (2009).

M.-Z. Sun, C.-M. Zhang, X.-P. Song, G.-Y. Liang, and Z.-B. Sun, “Study on new period structures of left-handed material based on rectangular resonators and metal wires,” Acta Phys. Sin. 58, 6179–6184 (2009).

T.-K. Mu, C.-M. Zhang, and B.-C. Zhao, “Principle and analysis of a polarization imaging spectrometer,” Appl. Opt. 48, 2333–2339 (2009).
[CrossRef] [PubMed]

Zhang, L.

Zhang, X.-M.

J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
[CrossRef]

H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
[CrossRef]

Zhao, B.-C.

C.-M. Zhang, B.-C. Zhao, Z.-L. Yuan, and W.-J. Huang, “Analysis of signal-to-noise ratio of ultra-compact static polarization interference imaging spectrometer,” J. Opt. A Pure Appl. Opt. 11, 085401 (2009).
[CrossRef]

T.-K. Mu, C.-M. Zhang, and B.-C. Zhao, “Principle and analysis of a polarization imaging spectrometer,” Appl. Opt. 48, 2333–2339 (2009).
[CrossRef] [PubMed]

Zhao, Q.

Q. Zheng, X.-P. Zhao, Q.-H. Fu, Q. Zhao, L. Kang, and M.-M. Li, “Reflection and negative refraction of left-handed metematerials at microwave frequencies,” Acta Phys. Sin. 54, 5683–5687(2005).

Zhao, X.-P.

Q. Zheng, X.-P. Zhao, Q.-H. Fu, Q. Zhao, L. Kang, and M.-M. Li, “Reflection and negative refraction of left-handed metematerials at microwave frequencies,” Acta Phys. Sin. 54, 5683–5687(2005).

Zheng, Q.

Q. Zheng, X.-P. Zhao, Q.-H. Fu, Q. Zhao, L. Kang, and M.-M. Li, “Reflection and negative refraction of left-handed metematerials at microwave frequencies,” Acta Phys. Sin. 54, 5683–5687(2005).

Acta Phys. Sin. (3)

Q. Zheng, X.-P. Zhao, Q.-H. Fu, Q. Zhao, L. Kang, and M.-M. Li, “Reflection and negative refraction of left-handed metematerials at microwave frequencies,” Acta Phys. Sin. 54, 5683–5687(2005).

M.-Z. Sun, C.-M. Zhang, X.-P. Song, G.-Y. Liang, and Z.-B. Sun, “Study on new period structures of left-handed material based on rectangular resonators and metal wires,” Acta Phys. Sin. 58, 6179–6184 (2009).

C.-M. Zhang, M.-Z. Sun, Z.-L. Yuan, and X.-P. Song, “Study on new period structures of left-handed material composed of hexagonal SRRs and metal wires,” Acta Phys. Sin. 58, 1758–1764 (2009).

Appl. Opt. (2)

Appl. Phys. Lett. (1)

J. Huangfu, L. Ran, H. Chen, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Experimental confirmation of negative refractive index of metamaterial composed of Ω-like metallic patterns,” Appl. Phys. Lett. 84, 1537–1539(2004).
[CrossRef]

Chin. Phys. (2)

Y.-H. Hu, X.-Q. Fu, S.-C. Wen, W.-H. Su, and D.-Y. Fan, “(3+1)-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material,” Chin. Phys. 15, 2970–2976 (2006).
[CrossRef]

T. Jiang, Y. Chen, and Y.-J. Feng, “Subwavelength rectangular cavity partially filled with left-handed materials,” Chin. Phys. 15, 1154–1160 (2006).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[CrossRef]

J. Opt. A Pure Appl. Opt. (1)

C.-M. Zhang, B.-C. Zhao, Z.-L. Yuan, and W.-J. Huang, “Analysis of signal-to-noise ratio of ultra-compact static polarization interference imaging spectrometer,” J. Opt. A Pure Appl. Opt. 11, 085401 (2009).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. E (1)

H. Chen, L. Ran, J. Huangfu, X.-M. Zhang, K. Chen, T. M. Grzegorczyk, and A. K. Jin, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E 70, 057605(2004).
[CrossRef]

Phys. Rev. Lett. (2)

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187(2000).
[CrossRef] [PubMed]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76, 4773–4776 (1996).
[CrossRef] [PubMed]

Science (1)

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

Sov. Phys. Usp. (1)

G. V. 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 (10)

Fig. 1
Fig. 1

Single C SRR.

Fig. 2
Fig. 2

(a) Size of the octagon and (b) simulated octagon.

Fig. 3
Fig. 3

Simulated energy transmittance as a function of frequency when the opening size of the octagon is (a) 0.1, (b) 0.2, (c) 0.3, and (d) 0.4 mm .

Fig. 4
Fig. 4

Octagonal SRR unit arranged along the x axis.

Fig. 5
Fig. 5

Simulated energy transmittance as a function of frequency for (a) z 1 , (b) z 2 , (c) z 3 , and (d) z 4 .

Fig. 6
Fig. 6

Simulated (a) y 2 , (b) y 3 , and (c) perpendicular and crossing mesh points.

Fig. 7
Fig. 7

(a) Big and (b) small octagon SRR–MW composite structure.

Fig. 8
Fig. 8

Simulated energy transmittance as a function of frequency for the big octagon with (a) 0.3 and (b) 0.6 mm substrate thickness, and the small octagon with (c) 0.3 and (d) 0.6 mm substrate thickness.

Fig. 9
Fig. 9

(a) Photo of the prism sample and (b) corresponding experimental arrangement.

Fig. 10
Fig. 10

Measured transmitted power as a function of refraction for the big octagon with (a) 0.3 and (b) 0.6 mm substrate thickness, and the small octagon with (c) 0.3 and (d) 0.6 mm substrate thickness.

Tables (3)

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Table 1 Simulated Results with Different Opening Sizes

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Table 2 Simulation of Coupling Degree at the z Axis

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Table 3 Simulations of the Octagon SRR–MW Periodic Structures

Equations (1)

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ω m 0 2 = 3 l c 0 2 π ln 2 c d r 3 , ω mp 2 = 1 1 π r 2 a 2 ω 0 2 , μ ( ω ) μ 0 = 1 ω mp ω m 0 2 ω 2 ω m 0 + i γ ω ,

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