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

Publication ,  Journal Article
Liu, R; Cui, TJ; Huang, D; Zhao, B; Smith, DR
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
August 2007

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.

Duke Scholars

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Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

August 2007

Volume

76

Issue

2 Pt 2

Start / End Page

026606

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Liu, R., Cui, T. J., Huang, D., Zhao, B., & Smith, D. R. (2007). Description and explanation of electromagnetic behaviors in artificial metamaterials based on effective medium theory. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 76(2 Pt 2), 026606. https://doi.org/10.1103/physreve.76.026606
Liu, Ruopeng, Tie Jun Cui, Da Huang, Bo Zhao, and David R. Smith. “Description and explanation of electromagnetic behaviors in artificial metamaterials based on effective medium theory.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 76, no. 2 Pt 2 (August 2007): 026606. https://doi.org/10.1103/physreve.76.026606.
Liu R, Cui TJ, Huang D, Zhao B, Smith DR. Description and explanation of electromagnetic behaviors in artificial metamaterials based on effective medium theory. Physical review E, Statistical, nonlinear, and soft matter physics. 2007 Aug;76(2 Pt 2):026606.
Liu, Ruopeng, et al. “Description and explanation of electromagnetic behaviors in artificial metamaterials based on effective medium theory.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 76, no. 2 Pt 2, Aug. 2007, p. 026606. Epmc, doi:10.1103/physreve.76.026606.
Liu R, Cui TJ, Huang D, Zhao B, Smith DR. Description and explanation of electromagnetic behaviors in artificial metamaterials based on effective medium theory. Physical review E, Statistical, nonlinear, and soft matter physics. 2007 Aug;76(2 Pt 2):026606.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

August 2007

Volume

76

Issue

2 Pt 2

Start / End Page

026606

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences