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	+++ title = "Interferometers" author = ["Thomas Dehaeze"] draft = false +++
- Tags
 - [Position Sensors]({{< relref "position_sensors" >}})
 
Manufacturers
| Manufacturers | Links | Country | 
|---|---|---|
| Attocube | link | Germany | 
| Zygo | link | USA | 
| Smaract | link | Germany | 
| Qutools | link | Germany | 
| Renishaw | link | UK | 
| Sios | link | Germany | 
| Keysight | link | USA | 
| Optics11 | link | Netherlands | 
Environmental Units
| Temperature (\(\pm\ ^oC\)) | Pressure (\(\pm\ hPa\)) | Humidity \(\pm\% RH\) | Wavelength Accuracy (\(\pm\ \text{ppm}\)) | |
|---|---|---|---|---|
| Attocube | 0.1 | 1 | 2 | 0.5 | 
| Renishaw | 0.2 | 1 | 6 | 1 | 
| Picoscale | 0.2 | 2 | 2 | 1 | 
Interferometer Precision
{{< figure src="/ox-hugo/position_sensor_interferometer_precision.png" caption="Figure 1: Expected precision of interferometer as a function of measured distance" >}}
Sources of uncertainty
Sources of error in laser interferometry are well described in (Ducourtieux 2018).
It includes:
- Laser Source Stability
 - Variation of refractive index of air, which is dependent of:
- Temperature: \(K_T \approx 1 ppmK^{-1}\)
 - Pressure: \(K_P \approx 0.27 ppm hPa^{-1}\)
 - Humidity: \(K_{HR} \approx 0.01 ppm % RH^{-1}\)
 - These errors can partially be compensated using an environmental unit.
 
 - Air turbulence (Figure 2)
 - Non linearity
 
{{< figure src="/ox-hugo/interferometers_air_turbulence.png" caption="Figure 2: Effect of air turbulences on measurement stability" >}}
Bibliography
Ducourtieux, Sebastien. 2018. “Toward High Precision Position Control Using Laser Interferometry: Main Sources of Error.” https://doi.org/10.13140/rg.2.2.21044.35205.
Jang, Yoon-Soo, and Seung-Woo Kim. 2017. “Compensation of the Refractive Index of Air in Laser Interferometer for Distance Measurement: A Review.” International Journal of Precision Engineering and Manufacturing 18 (12):1881–90. https://doi.org/10.1007/s12541-017-0217-y.