Homogenization of Thin Dielectric Composite Slabs: Techniques and Limitations

作者

  • Henrik Kettunen Department of Radio Science and Engineering Aalto University School of Electrical Engineering PO Box 13000, FI-00076 Aalto, Finland
  • Jiaran Qi Department of Radio Science and Engineering Aalto University School of Electrical Engineering PO Box 13000, FI-00076 Aalto, Finland
  • Henrik Wallén Department of Radio Science and Engineering Aalto University School of Electrical Engineering PO Box 13000, FI-00076 Aalto, Finland
  • Ari Sihvola Department of Radio Science and Engineering Aalto University School of Electrical Engineering PO Box 13000, FI-00076 Aalto, Finland

关键词:

Homogenization of Thin Dielectric Composite Slabs: Techniques and Limitations

摘要

This paper compares different methods for retrieving the transverse effective permittivity of periodic composite slabs whose longitudinal thickness is only a few unit cells. Two computational methods are considered, one based on simulated scattering parameters (S-parameters) and the other one based on fiel averaging by integration. The effect of frequency dispersion is studied by comparing the results with electrostatic estimates given by analytical mixing formulas. Furthermore, the influenc of the slab thickness is studied. We also discuss the boundary effects on the interfaces of the slabs.

##plugins.generic.usageStats.downloads##

##plugins.generic.usageStats.noStats##

参考

G. W. Milton, The Theory of Composites. Cam-

bridge Univ. Press, Cambridge, 2002.

C. Brosseau, “Modelling and Simulation of Di-

KETTUNEN, QI, WALLÉN, SIHVOLA: HOMOGENIZATION OF THIN DIELECTRIC COMPOSITE SLABS

electric Heterostructures: A Physical Survey

from an Historical Perspective,” J. Phys. D:

Appl. Phys, vol. 39, no. 7, pp. 1277–1294, 2006.

D. S. Killips, Composite Material Design and

Characterization for RF Applications. Ph.D.

Thesis, Michigan State University, 2007.

N. Engheta and R. W. Ziolkowski, eds., Meta-

materials: Physics and Engineering Explo-

rations. Wiley-Interscience, Hoboken, NJ, 2006.

A. K. Sarychev and V. M. Shalaev, Electrody-

namics of Metamaterials. World Scientif c, Sin-

gapore, 2007.

C. Menzel, T. Paul, C. Rockstuhl, T. Pertsch,

S. Tretyakov, and F. Lederer, “Validity of Ef-

fective Material Parameters for Optical Fishnet

metamaterials,” Phys. Rev. B, vol. 81, no. 3,

pp. 035320:1–5, 2010.

C. R. Simovski, “Material Parameters of Meta-

materials (a review),” Opt. Spectrosc., vol. 107,

no. 5, pp. 726–753, 2009.

L. Bennett, W. E. Hutchcraft, R. K. Gordon,

E. Lackey, J. G. Vaughan, and R. Averill, “Ex-

tracting the Electrical Properties of Polymeric

Composite Materials through Circuit Simulation

and Optimization,” Appl. Comput. Electromag-

netics Soc. J., vol. 23, no. 1, pp. 84–89, 2008.

J. Qi, H. Kettunen, H. Wallén, and A. Sihvola,

“Quasi-Dynamic Homogenization of Geomet-

rically Simple Dielectric Composites,” Appl.

Comput. Electromagnetics Soc. J., vol. 25,

no. 12, pp. 1036–1045, 2010.

A. Sihvola, Electromagnetic Mixing Formulas

and Applications. IEE, London, 1999.

R. C. McPhedran and D. R. McKenzie, “The

Conductivity of Lattices of Spheres I. The Sim-

ple Cubic Lattice,” Proc. R. Soc. Lond. A,

vol. 359, pp. 45–63, 1978.

A. M. Nicolson and G. F. Ross, “Measurement

of the Intrinsic Properties of Materials by Time-

Domain Techniques,” IEEE Trans. Inst. Meas.,

vol. IM-19, no. 4, pp. 377–382, 1970.

W. B. Weir, “Automatic Measurement of Com-

plex Dielectric Constant and Permeability at

Microwave Frequencies,” Proc. IEEE, vol. 62,

no. 1, pp. 33–36, 1974.

D. R. Smith, S. Schultz, P. Markoš, and

C. M. Soukoulis, “Determination of Effective

Permittivity and Permeability of Metamaterials

from Ref ection and Transmission Coeff cients,”

Phys. Rev. B, vol. 65, no. 19, pp. 195104:1–5,

X. Chen, T. M. Grzegorczyk, B.-I. Wu,

J. Pacheco, Jr., and J. A. Kong, “Robust Method

to Retrieve the Constitutive Effective Parameters

of Metamaterials,” Phys. Rev. E, vol. 70, no. 1,

pp. 016608:1–7, 2004.

D. R. Smith and J. B. Pendry, “Homogenization

of Metamaterials by Field Averaging,” J. Opt.

Soc. Am. B, vol. 23, no. 3, pp. 391–403, 2006.

G. D. Mahan and G. Obermair, “Polaritons at

Surfaces,” Phys. Rev., vol. 183, no. 3, pp. 834–

, 1969.

C. R. Simovski, S. A. Tretyakov, A. H. Sihvola,

and M. M. Popov, “On the Surface Effect in Thin

Molecular or Composite Layer,” Eur. Phys. J.

AP, vol. 9, no. 3, pp. 195–204, 2000.

##submission.downloads##

已出版

2022-05-02

栏目

General Submission