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95/105= 0.91


1,1

A Self-Consistent Extrapolation Method for the Complex Permittivity and Permeability Based on Finite Frequency Data

doi: 10.6062/jcis.2015.06.01.0091(Free PDF)

Authors

Christine C. Dantas, Mirabel. C. Rezende,and Simone S. Pinto

Abstract

We describe a method of extrapolation based on a “truncated” Kramers-Kronig relation for the complex permittivity (\epsilon) and permeability (μ) parameters of a material, based on finite frequency data. Considering a few assumptions, such as the behavior of the loss tangent and the overall nature of corrections, the method is robust to within a few % of relative error, if the assumed hypotheses hold at the extrapolated frequency range.

Keywords

Permeability, Kromers-Kronig relations, loss tangent.

References

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[3] Jackson, J. D., Classical Electrodynamics, 3rd. Edition, John Wiley & Sons, Inc., 1999.

[4] Milton, G. W., Eyre, D. J., & Mantese, J. V., Finite Frequency Range Kramers Kronig Relations: Bounds on the Dispersion, Phys. Rev. Lett. 79, 30623065, 1997.

[5] Soohoo, R. F., Theory and Application of Ferrites, Prentice-Hall, Inc, 1960.

[6] Amari S. and Bornemann, J., Efficient Numerical Computation of Singular Integrals with Applications to Electromagnetics, IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 43, NO. 11, p.1343-1348, 1995.

[7] Vanderplaats, G.N. Multidiscipline Design Optimization, VR & D, 2007.

[8] Press, W. H. et al, Numerical Recipes in Fortran 77, Cambridge University Press, 1992.

[9] Eiben, A.E. e Smith, J.E., Introduction to Evolutionary Computing,Springer-Verlag, 2003.

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