## Abstract The design of a cavity resonator implies to solve the Maxwell equations inside that cavity, respecting the boundary conditions. As a consequence, the resonance frequencies appear as conditions in the solutions of the differential equation involved. The measurement of the complex permitt
A highly stable cylindrical microwave cavity resonator for the measurement of the relative permittivities of gases
β Scribed by M.B. Ewing; D.D. Royal
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 146 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0021-9614
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β¦ Synopsis
We present a new and highly stable cylindrical microwave cavity resonator designed for the measurement of the relative permittivities of gases. The cylinder has an internal volume of just 5.7 cm 3 , which makes it the smallest such a resonator reported to date. The equipment and procedure used to measure the resonance frequencies and halfwidths with fractional random errors better than Β±6 β’ 10 -7 and Β±4 β’ 10 -3 , respectively, are described. We have developed also an analytical model which describes the cylinder's resonant behaviour with a fractional accuracy of the order of Β±10 -6 . Our model includes a novel method for determining the perturbation due to the presence of an opening in the boundary wall which is shown to be in excellent agreement with experimental results.
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