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Q-based design equations and loss limits for resonant metamaterials and experimental validation

Publication ,  Journal Article
Cummer, SA; Popa, BI; Hand, TH
Published in: IEEE Transactions on Antennas and Propagation
January 1, 2008

Practical design parameters of resonant metamaterials, such as loss tangent, are derived in terms of the quality factor Q of the resonant effective medium permeability or permittivity. Through electromagnetic simulations of loop-based resonant particles, it is first shown that the Q of the effective medium response is essentially equal to the Q of an individual resonant particle. This implies that by measuring the Q of a single fabricated metamaterial particle, the effective permeability or permittivity of a metamaterial can be estimated simply and accurately without complex simulations, fabrication, or measurements. Experimental validation shows that the frequency-dependent complex permeability analytically estimated from the measured of a single fabricated self-resonant loop agrees with the complex permeability extracted from parameter measurements of a metamaterial slab to better than 20%. This Q equivalence reduces the design of a metamaterial to meet a given loss constraint to the simpler problem of the design of a resonant particle to meet a specific Q constraint. The Q-based analysis also yields simple analytical expressions for estimating the loss tangent of a planar loop magnetic metamaterial due to ohmic losses. It is shown that δ ≈ 0.001 is a strong lower bound for magnetic loss tangents for frequencies not too far from 1 GHz. The ohmic loss of the metamaterial varies inversely with the electrical size of the metamaterial particle, indicating that there is a loss penalty for reducing the particle size at a fixed frequency. © 2008 IEEE.

Duke Scholars

Published In

IEEE Transactions on Antennas and Propagation

DOI

ISSN

0018-926X

Publication Date

January 1, 2008

Volume

56

Issue

1

Start / End Page

127 / 132

Related Subject Headings

  • Networking & Telecommunications
  • 4009 Electronics, sensors and digital hardware
  • 4008 Electrical engineering
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
 

Citation

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Cummer, S. A., Popa, B. I., & Hand, T. H. (2008). Q-based design equations and loss limits for resonant metamaterials and experimental validation. IEEE Transactions on Antennas and Propagation, 56(1), 127–132. https://doi.org/10.1109/TAP.2007.912959
Cummer, S. A., B. I. Popa, and T. H. Hand. “Q-based design equations and loss limits for resonant metamaterials and experimental validation.” IEEE Transactions on Antennas and Propagation 56, no. 1 (January 1, 2008): 127–32. https://doi.org/10.1109/TAP.2007.912959.
Cummer SA, Popa BI, Hand TH. Q-based design equations and loss limits for resonant metamaterials and experimental validation. IEEE Transactions on Antennas and Propagation. 2008 Jan 1;56(1):127–32.
Cummer, S. A., et al. “Q-based design equations and loss limits for resonant metamaterials and experimental validation.” IEEE Transactions on Antennas and Propagation, vol. 56, no. 1, Jan. 2008, pp. 127–32. Scopus, doi:10.1109/TAP.2007.912959.
Cummer SA, Popa BI, Hand TH. Q-based design equations and loss limits for resonant metamaterials and experimental validation. IEEE Transactions on Antennas and Propagation. 2008 Jan 1;56(1):127–132.

Published In

IEEE Transactions on Antennas and Propagation

DOI

ISSN

0018-926X

Publication Date

January 1, 2008

Volume

56

Issue

1

Start / End Page

127 / 132

Related Subject Headings

  • Networking & Telecommunications
  • 4009 Electronics, sensors and digital hardware
  • 4008 Electrical engineering
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering