Update Content - 2021-03-14
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@@ -10,21 +10,21 @@ Tags
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## Manufacturers {#manufacturers}
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| Manufacturers | Links | Country |
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|---------------|----------------------------------------------------------------------------------------------------------|-------------|
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| Attocube | [link](http://www.attocube.com/) | Germany |
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| Zygo | [link](https://www.zygo.com/?/met/markets/stageposition/zmi/) | USA |
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| Smaract | [link](https://www.smaract.com/interferometry) | Germany |
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| Qutools | [link](https://www.qutools.com/qudis/) | Germany |
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| Renishaw | [link](https://www.renishaw.com/en/fibre-optic-laser-encoder-products--6594) | UK |
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| Sios | [link](https://sios-de.com/products/length-measurement/laser-interferometer/) | Germany |
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| Keysight | [link](https://www.keysight.com/en/pc-1000000393%3Aepsg%3Apgr/laser-heads?nid=-536900395.0&cc=FR&lc=fre) | USA |
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| Optics11 | [link](https://optics11.com/) | Netherlands |
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| Manufacturers | Country |
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|--------------------------------------------------------------------------------------------------------------|-------------|
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| [Attocube](http://www.attocube.com/) | Germany |
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| [Zygo](https://www.zygo.com/?/met/markets/stageposition/zmi/) | USA |
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| [Smaract](https://www.smaract.com/interferometry) | Germany |
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| [Qutools](https://www.qutools.com/qudis/) | Germany |
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| [Renishaw](https://www.renishaw.com/en/fibre-optic-laser-encoder-products--6594) | UK |
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| [Sios](https://sios-de.com/products/length-measurement/laser-interferometer/) | Germany |
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| [Keysight](https://www.keysight.com/en/pc-1000000393%3Aepsg%3Apgr/laser-heads?nid=-536900395.0&cc=FR&lc=fre) | USA |
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| [Optics11](https://optics11.com/) | Netherlands |
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## Effect of Refractive Index - Environmental Units {#effect-of-refractive-index-environmental-units}
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The measured distance is proportional to the refractive index of the air that depends on several quantities as shown in Table [1](#table--tab:index-air) (Taken from ([Thurner et al. 2015](#org7c4b7ca))).
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The measured distance is proportional to the refractive index of the air that depends on several quantities as shown in Table [1](#table--tab:index-air) (Taken from ([Thurner et al. 2015](#org68c8bbb))).
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<a id="table--tab:index-air"></a>
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<div class="table-caption">
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@@ -59,16 +59,16 @@ Typical characteristics of commercial environmental units are shown in Table [2]
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## Interferometer Precision {#interferometer-precision}
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Figure [1](#orgb0b437f) shows the expected precision as a function of the measured distance due to change of refractive index of the air (taken from ([Jang and Kim 2017](#org60051d3))).
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Figure [1](#org960bbd9) shows the expected precision as a function of the measured distance due to change of refractive index of the air (taken from ([Jang and Kim 2017](#orgd724d07))).
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<a id="orgb0b437f"></a>
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<a id="org960bbd9"></a>
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{{< figure src="/ox-hugo/position_sensor_interferometer_precision.png" caption="Figure 1: Expected precision of interferometer as a function of measured distance" >}}
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## Sources of uncertainty {#sources-of-uncertainty}
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Sources of error in laser interferometry are well described in ([Ducourtieux 2018](#orgd3162b8)).
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Sources of error in laser interferometry are well described in ([Ducourtieux 2018](#orgeacbea1)).
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It includes:
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@@ -78,18 +78,18 @@ It includes:
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- Pressure: \\(K\_P \approx 0.27 ppm hPa^{-1}\\)
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- Humidity: \\(K\_{HR} \approx 0.01 ppm \% RH^{-1}\\)
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- These errors can partially be compensated using an environmental unit.
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- Air turbulence (Figure [2](#org74b0d34))
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- Air turbulence (Figure [2](#orgd403994))
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- Non linearity
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<a id="org74b0d34"></a>
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<a id="orgd403994"></a>
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{{< figure src="/ox-hugo/interferometers_air_turbulence.png" caption="Figure 2: Effect of air turbulences on measurement stability" >}}
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## Bibliography {#bibliography}
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<a id="orgd3162b8"></a>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>.
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<a id="orgeacbea1"></a>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>.
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<a id="org60051d3"></a>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>.
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<a id="orgd724d07"></a>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>.
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<a id="org7c4b7ca"></a>Thurner, Klaus, Francesca Paola Quacquarelli, Pierre-François Braun, Claudio Dal Savio, and Khaled Karrai. 2015. “Fiber-Based Distance Sensing Interferometry.” _Applied Optics_ 54 (10). Optical Society of America:3051–63.
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<a id="org68c8bbb"></a>Thurner, Klaus, Francesca Paola Quacquarelli, Pierre-François Braun, Claudio Dal Savio, and Khaled Karrai. 2015. “Fiber-Based Distance Sensing Interferometry.” _Applied Optics_ 54 (10). Optical Society of America:3051–63.
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