digital-brain/content/zettels/interferometers.md

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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

Table 1: Characteristics of 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

(Jang and Kim 2017)

{{< 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):188190. https://doi.org/10.1007/s12541-017-0217-y.