By Topic

Derivation of Lichtenecker's Logarithmic Mixture Formula From Maxwell's Equations

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Simpkin, R. ; Ind. Res. Ltd., Auckland, New Zealand

Lichtenecker's logarithmic mixture formula for dielectrics has proven to be a useful practical formulation for determining the effective permittivity of homogenized dielectric mixtures. However, the formula itself has long been regarded as semiempirical in nature without firm theoretical justification. This paper shows that Lichtenecker's formula can be derived by applying Maxwell's equations and the principle of charge conservation to a mixture for which the spatial distribution of shapes and orientations of the components is randomly distributed. Furthermore, the relationship between the Lichtenecker formula and the well-known mixture formulas due to Maxwell-Garnett is demonstrated. Similarly, it is shown that the symmetric mixture formula of Bruggeman can also be obtained from the Lichtenecker formula.

Published in:

Microwave Theory and Techniques, IEEE Transactions on  (Volume:58 ,  Issue: 3 )