On the Time-Domain Response of Havriliak-Negami Dielectrics
- 11 February 2013
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 61 (6), 3182-3189
- https://doi.org/10.1109/tap.2013.2246536
Abstract
We apply a combination of asymptotic and numerical methods to study electromagnetic pulse propagation in the Havriliak-Negami permittivity model of fractional relaxation. This dielectric model contains the Cole-Cole and Cole-Davidson models as special cases. We analytically determine the impulse response at short and long distances behind the wavefront, and validate our results with numerical methods for performing inverse Laplace transforms and for directly solving the time-domain Maxwell equations in such dielectrics. We find that the time-domain response of Havriliak-Negami dielectrics is significantly different from that obtained for Debye dielectrics. This makes possible using pulse propagation measurements in TDR setups in order to determine the appropriate dielectric model, and its parameters, for the actual dielectric whose properties are being measured.Keywords
This publication has 18 references indexed in Scilit:
- Fractional precursors in random mediaWaves in Random and Complex Media, 2010
- Parabolic and hyperbolic contours for computing the Bromwich integralMathematics of Computation, 2007
- Microscopic models for dielectric relaxation in disordered systemsPhysical Review E, 2004
- Measured and Predicted Behavior of Pulses in Debye- and Lorentz-Type MaterialsIEEE Transactions on Antennas and Propagation, 2004
- Asymptotics and energy estimates for electromagnetic pulses in dispersive media: addendumJournal of the Optical Society of America A, 1999
- The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum of tissuesPhysics in Medicine & Biology, 1996
- Asymptotics and energy estimates for electromagnetic pulses in dispersive mediaJournal of the Optical Society of America A, 1996
- The wave hierarchy for propagation in relaxing dielectricsWave Motion, 1995
- Scaling of the α relaxation in low-molecular-weight glass-forming liquids and polymersPhysical Review Letters, 1991
- A complex plane representation of dielectric and mechanical relaxation processes in some polymersPolymer, 1967