Both methods, the resonator method and the S-parameter method, require the sample to be machined to fit the fixture. Since the size of the sample is used to calculate the permittivity and permeability, measurement errors in the sample size directly affect the measured values of permittivity and permeability. Therefore, in order to evaluate material properties accurately, it is necessary to know the size accurately. Ideally, the cross-sectional area of a rod-shaped sample should be uniform, and the thickness of a plate-shaped sample should be uniform.

It is basic to machine the sample into a rod shape. The recommended size is shown below. In the case of anisotropic samples, the difference in permittivity due to anisotropy can be evaluated by changing the direction of sample extraction.

Recommended size for cavity resonator

Resonator | W×D (mm)^{*} |
L (mm) |
---|---|---|

1-5.8 GHz | 1.5 × 1.5 | 80 |

10 GHz | 60 |

^{*}
Please process the sample to fit into the sample insertion hole (Φ2.6mm) with a margin,
and in a size that is easy to make.

The sample needs to be processed into a plate. The characteristics of the material and the measurement frequency determine the appropriate thickness and size.

We recommend about 100μm. The chart shows the approximate maximum thickness that can be measured with the split cylinder resonators. The larger the permittivity and the higher the frequency, the thinner the sample needs to be. If the loss is more than about 0.01, a thinner sample may be required. On the other hand, it should be noted that the thinner the sample (e.g. 10μm), the more noticeable the error in thickness measurement becomes, and consequently the larger the error in permittivity measurement becomes. For details, please contact us.

Recommended sample size

Resonator | Short side (mm) | Long side (mm) |
---|---|---|

10 GHz | 62 | 75 |

20-80 GHz | 34 | 45 |

The sample needs to be processed into a squere plate. The characteristics of the material and the measurement frequency determine the appropriate thickness and size.

Recommended sample size

Resonator | Size |
---|---|

E/W/D/G/Jband | 50 mm square |

Broadband | 65 mm square |

The appropriate thickness depends on the dielectric properties and the resonator used, but 100 µm is a good rule of thumb. The higher the frequency and the higher the dielectric constant, the thinner the sample needs to be. The relationship between the sample thickness, dielectric constant, and frequency band is shown in the chart. The maximum sample thickness that can be measured correctly throughout the entire measurement frequency band of each device is shown in the chart. Please contact us for measurement of thicker samples. Note that a sample with high loss (tanδ>0.01 is a rough guide) requires an even thinner sample.

It is necessary to process the sample into a flat plate shape. The recommended size varies depending on the measurement frequency and the permittivity/permeability of the material.

For permittivity measurements, a half wavelength is optimal.
For permeability, a quarter wavelength is optimal.
The thicker the sample, the more significant the error due to multiple reflections within it.
This is especially noticeable in magnetic permeability measurement.
(In both cases, it is necessary to take into account the wavelength shortening in the sample^{*}.)

^{*}wavelength shortening=
$\frac{1}{\sqrt{\mathrm{\epsilon \text{'}}\mathrm{\mu \text{'}}}}$

(ε': relative permittivity, µ': relative permeability)

A diameter of 6 wavelengths or more is recommended. A diameter of 60 mm or more makes it easier to fix to the fixture.