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Correction model for nonuniform gap distributions in parallel-plate dielectric resonator measurements.

Arnaut, L R (1999) Correction model for nonuniform gap distributions in parallel-plate dielectric resonator measurements. NPL Report. CEM 13

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Abstract

Correction formulas are derived for nonuniform gaps in a parallel-plate dielectric resonator configuration. This correction model enables the accuracy of the characterization of dielectric resonators to be improved. The model accounts for uncertainties due to complex gap profiles that may exist between the sample and the upper and lower resonator plates as a result of machining. The analysis is based on a polynomial expansion of the functions which characterize the profiles of the interfaces of the dielectric specimen and the resonator plates. It allows for gap profiles of algebraic but otherwise arbitrary complexity. The replacement of geometrically averaged gap widths by electromagnetically weighted average gap widths is found to yield a marked effect, in particular, for the TE01d mode. Numerical examples are given for the case of linear and parabolic gap profiles.

Item Type: Report/Guide (NPL Report)
NPL Report No.: CEM 13
Keywords: dielectric resonators, low-loss dielectrics, parallel-plate measurements, Hakki-Coleman method, Courtney holder, nonuniform gaps, weighted gap correction, polynomial expansion
Subjects: Electromagnetics
Electromagnetics > Electromagnetic Materials
Last Modified: 02 Feb 2018 13:18
URI: http://eprintspublications.npl.co.uk/id/eprint/1114

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