The gap correction for the resonant-mode dielectrometer

Full-wave analysis of a split-cylinder resonator for nondestructive permittivity measurements

“…Table II shows good agreement in between the two resonator methods as both measurements of lie within the uncertainty bound of the other. Table II also shows a comparison between the calculated permittivity of the four samples using both the new splitcylinder theory and the theory developed by Kent [4]. The results using Kent's theory show a consistent downward bias in the calculation of the sample permittivity.…”

“…We use the method of separation of variables to solve for and . Applying this method to (3), we find (4) where , , , and are constants, is the Bessel function of the first kind of order one, is the Bessel function of the second kind of order one, and . The boundary conditions on the transverse electric field yield 5is finite is finite (6)…”

“…He initially proposed a correction to the measured permittivity based on a perturbation calculation. Later, Kent and Bell developed an improved approximation to correct the initial model [4].…”

Electronic Beam Steering and Polarization Agile Planar Antennas in Liquid Crystal Technology

“…Additionally, depending on the sample height and the cavity diameter a gap correction can be crucial. For further details of the gap correction one can refer [KB96].…”

Use of Nanoclays for Polymer Substrate Property Modification

“…While for the split-cylinder resonator, because of a gap existing between two cylindrical waveguide sections, it is troublesome for electromagnetic field resolution and permittivity calculation. Kent and Bell [6] proposed an approximate method for calculating the permittivity. Janezic presented a full-wave analysis of the split cylinder resonator [7], including the TEO,, resonant mode plus evanescent TEon modes in the cylindrical cavity region.…”