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Abramowicz, Adam
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document
Bounds on permittivity calculations using the TE/sub 01/spl delta// dielectric resonator
Abstract
The use of both mode-matching and Rayleigh-Ritz numerical techniques for complex permittivity calculations using a TE/sub 01/spl delta// mode dielectric resonator allows the determination of lower and upper bounds of the permittivity. The maximum difference of the relative permittivity obtained from the two techniques does not exceed 0.125% for a cavity-to-sample volume ratio from 1 to 64 and relative permittivity values in the range of 1 to 100. These results were obtained by employing 126 basis functions with the Rayleigh-Ritz technique and 10 basis functions with the mode-matching method. It is possible to increase the computational accuracy of the calculations by increasing the number of basis functions.