The thickness and longitudinal coupling factors
, [k.sub.t] and [k.sub.33], respectively, express the coupling between an electric field (electrical polarisation) and mechanical vibrations in the same direction.
where [[beta].sub.1] and [[beta].sub.2] are thermodynamic factors for unalike additions to entropy density, [[alpha].sub.0] and [[alpha].sub.1] are thermodynamics heat coupling factors
, and T is temperature.
Analogous to Figure 10, Figure 12 shows the ratio between electromechanical coupling factors
of the lowest modes with respect to the volume of each sample.
In many cases, frequency bandwidth of piezoelectric transducers can be enhanced by different means: i) selecting piezoelectric materials having higher electromechanical coupling factors
 or higher mechanical losses or acoustic impedance value closer to that of the medium the transducer is going to be coupled to, ii) using a high impedance backing block, iii) using specially designed matching layers , and iv) by acting on the electrical matching .
It is the ratio of the number of coupling factors
in W(i, j) larger than 0.5[delta] to the number of nonvacancies in X(i, j).
The cement is an osteoinductive and cementogenic agent that stimulates immune cells to release lymphokines required for the repair and regeneration of cementum and stimulates bone coupling factors
necessary for the bioremineralization and healing of osseous periapical defects.
Historical Data Comparisons and Interpretations in Terms of Coupling Factors
The coupling factors
versus frequency [S.sub.21] and [S.sub.31] are shown in Fig.
In a general planar circuit, coupling factors
are mainly decided by the horizontal distance between resonators.
In addition to this, since the coupling factors
and array distribution are known, a prediction of the radiation pattern can also be calculated from the equivalent array of cable-fed slots.
Because the method neglects edge effects from the true, finite size of an array, the results are approximations of far-field patterns and element-to-element coupling factors
. The new finite array capability in ANSYS HFSS 14.0, built upon the proven ANSYS domain decomposition and adaptive meshing technologies, models the finite array explicitly.