Low frequency corrections to the static effective dielectric constant of a two-dimensional composite material

Geophysics ◽  
1948 ◽  
Vol 13 (4) ◽  
pp. 584-594 ◽  
Author(s):  
Haakon M. Evjen

Based directly on Maxwell’s Field Equations, the extremely low end of the frequency spectrum may be reduced in first approximation to simple potential theory. The approximation theory is borne out by some field experiments, the results of which are presented. Agreement with the theory, however, requires that the ground have a very large effective dielectric constant. This conclusion is supported by previous observations by a number of independent observers. Thus, the relaxation time has been found to be extremely great, not only in observations directly on the ground, but also in small samples of mud, and the sign of an electric anomaly over a relative insulator, such as crystalline salt or gas and oil, invariably has been found to be negative. Both of these observations can be explained in terms of a very great dielectric constant. The value yielded by the present experimental work is of the order of [Formula: see text].


2002 ◽  
Vol 13 (03) ◽  
pp. 405-417
Author(s):  
ALI MOOSAVI ◽  
PERTTI SARKOMAA

We study the resonant behavior of a system consisting of a square array of multi-coated cylinders by calculating the effective dielectric constant of the system. The results were examined numerically using the finite element method.


2006 ◽  
Vol 138 (4) ◽  
pp. 205-210 ◽  
Author(s):  
Yong Zeng ◽  
Ying Fu ◽  
Xiaoshuang Chen ◽  
Wei Lu

1989 ◽  
Vol 166 ◽  
Author(s):  
Vicki Homer ◽  
Ronald Edge

ABSTRACTThe two-dimensional position sensitive detector at IPNS was used to probe the splitting of a single Bragg peak of the ferroelectric KD2PO4 (DKDP) at temperatures below the Curie point. The (440) peak was split into four components as the crystal itself divided into four domains. When the crystal was subjected to electric fields of sufficient strength and duration, these peaks would change in relative intensity, thus displaying the rearrangement of the domain structure as the crystal changed its level of polarization. Even at temperatures 15–20K below the Curie point, the polarized crystal was observed to relax back to an almost completely unpolarized state upon removal of the applied electric field. This indicates that the true coercive field for the crystal at this temperature was much smaller than values previously reported [l]. Low frequency dielectric constant studies using a capacitance bridge have since been conducted, which confirm and expand on these results.


Author(s):  
В.И. Пономаренко ◽  
И.М. Лагунов

A composite material based on ellipsoidal inclusions distributed in a bonding medium is considered. A formula is obtained for calculating the effective dielectric constant of such a material, taking into account the presence of a layer of a binder on the inclusions, which prevents their direct contact. It is shown that the calculated values of the effective dielectric constant correspond to the experimental values for a composite based on sections of conductive fibers.


2013 ◽  
Vol 665 ◽  
pp. 168-171
Author(s):  
Ananya Banerjee ◽  
Aditi Sarkar ◽  
A. Sarkar

A simple formula for effective dielectric constant of composite material or DMD is proposed. In case of magnetic element in the composite the effect of magnetic susceptibility is taken into account to describe the dielectric behavior. A theoretical formulation of the proposed dielectric function along with an experimental result is presented here. The overall results are found to be good and consistent .


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