OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 29 — Oct. 10, 2010
  • pp: 5638–5644

Analysis of the resonant frequency of the octagonal split resonant rings with metal wires

Chunmin Zhang, Peng Gao, Mingzhao Sun, and Tingkui Mu  »View Author Affiliations

Applied Optics, Vol. 49, Issue 29, pp. 5638-5644 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (1055 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

OCIS Codes
(160.0160) Materials : Materials
(160.4670) Materials : Optical materials
(160.4760) Materials : Optical properties

ToC Category:

Original Manuscript: June 2, 2010
Revised Manuscript: August 8, 2010
Manuscript Accepted: September 8, 2010
Published: October 7, 2010

Chunmin Zhang, Peng Gao, Mingzhao Sun, and Tingkui Mu, "Analysis of the resonant frequency of the octagonal split resonant rings with metal wires," Appl. Opt. 49, 5638-5644 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  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]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited