<p>Interferometry has been widely explored for dynamic measurements, but environmental effects pose a significant challenge. In this study, we introduce an interferometry-based novel method to accurately measure the linear and angular velocity of a rigid object in the ultra-low-velocity domain. Our approach utilizes temporal phase shifting in the Sagnac interferometer configuration that offers improved stability in the face of environmental fluctuations. By leveraging this technique, we have achieved enhanced accuracy and reliability in our velocity measurements. We have conducted measurements in the range of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2025_2523_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(1 \mu m/s\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>1</mn> <mi>μ</mi> <mi>m</mi> <mo stretchy="false">/</mo> <mi>s</mi> </mrow> </math></EquationSource> </InlineEquation> for linear velocity and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2025_2523_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="72" /> </InlineMediaObject> <EquationSource Format="TEX">\(50 \mu rad/s\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>50</mn> <mi>μ</mi> <mi>r</mi> <mi>a</mi> <mi>d</mi> <mo stretchy="false">/</mo> <mi>s</mi> </mrow> </math></EquationSource> </InlineEquation> for angular velocity. These measurements hold great potential for various applications in engineering, industry, and research such as XRD testing machines and tensile testing machines. The designs of the interferometers, theory for phase shifting, velocity measurement, and experiment results to verify them are presented.</p>

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Ultra low linear and angular velocity measurement using Sagnac interferometer

  • Prakhar Maheshwari,
  • Laxman Mandal,
  • A. R. Ganesan

摘要

Interferometry has been widely explored for dynamic measurements, but environmental effects pose a significant challenge. In this study, we introduce an interferometry-based novel method to accurately measure the linear and angular velocity of a rigid object in the ultra-low-velocity domain. Our approach utilizes temporal phase shifting in the Sagnac interferometer configuration that offers improved stability in the face of environmental fluctuations. By leveraging this technique, we have achieved enhanced accuracy and reliability in our velocity measurements. We have conducted measurements in the range of \(1 \mu m/s\) 1 μ m / s for linear velocity and \(50 \mu rad/s\) 50 μ r a d / s for angular velocity. These measurements hold great potential for various applications in engineering, industry, and research such as XRD testing machines and tensile testing machines. The designs of the interferometers, theory for phase shifting, velocity measurement, and experiment results to verify them are presented.