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Woods, Graham S.
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article
Cryogenic complex anisotropic permittivity of magnesium fluoride
Abstract
The complex tensor permittivity of MgF<sub>2</sub> has been measured using whispering gallery mode and quasi TE<sub>0np</sub> dielectric post resonator techniques as a function of frequency and temperature. MgF<sub>2</sub> exhibits uniaxial anisotropy. At room temperature permittivity component parallel to the anisotropy axis is 4.77 ± 0.2% and the component perpendicular to anisotropy axis is 5.49 ± 0.2%. Dielectric loss tangent component perpendicular to anisotropy axis is approximately 4 × 10<sup>-5</sup> and dielectric loss tangent component parallel to anisotropy axis is approximately 7 × 10<sup>-5</sup> at 39 GHz and room temperature. Losses at room temperature increase quasi-linearly with frequency. At the temperature of 15 K measured loss tangent values for both the components of the dielectric loss tangent were about 1 × 10<sup>-6</sup> at 39 GHz. The RF and microwave losses of magnesium fluoride (MgF<sub>2</sub>) crystal are low as compared with other commonly used Fluorides. MgF<sub>2</sub> is hygroscopic and dielectric losses of this material vary with the contents of water.