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Heterodyne Meter of Transverse and Longitudinal Displacements of Objects

Received: 2 June 2021     Accepted: 16 June 2021     Published: 28 July 2021
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Abstract

Nowadays, optical methods are widely used to measure the movements of various objects. In this case, it is necessary to measure both longitudinal displacements at a large distance, and transverse ones. Such tasks have to be solved when measuring the displacements of the cutting tools of machine tools. Among the optical methods, the most accurate is the method of heterodyne interferometry. However, this method does not allow making absolute measurements, since the period of the interference pattern is commensurate with the wavelength of light, which requires counting the number of stripes. In addition, the readjustment of this method requires two-frequency lasers and rather complex optical and electronic systems, which significantly complicates their application. To solve this problem, we used the method of heterodyne interferometry developed by the authors, which, in contrast to the known methods, allows us to make absolute measurements of the parameters of objects. This is achieved by creating a period of the interference pattern, which is equal to the speed of sound in the acousto-optical modulator divided by the modulator control frequency. The result was aa block diagram of a device for measuring transverse and longitudinal displacements of objects by the heterodyne method is developed. Analytical expressions are obtained for calculating the signal strength at the photodetector, the periods of interference patterns, the phase shift depending on the transverse and longitudinal displacements, the measurement range and the measurement accuracy, which allowed us to determine the main parameters of the device. To confirm the results obtained, an experiment was carried out. For this, a block diagram of the experiment was developed, with the help of which the influence of the beam divergence on the period of the interference pattern was determined. The experiment showed good agreement between theory and experiment.

Published in World Journal of Applied Physics (Volume 6, Issue 3)
DOI 10.11648/j.wjap.20210603.11
Page(s) 41-46
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Laser, Acousto-Optic Modulator, Photodetector, Phase Meter, Microprocessor

References
[1] Kirillovsky V. K., Tochilina T. V. Application of the computer isophotometric method in interferometry// Izvestiya vuzov priborostroenie. 2021. No 2. pp. 137-142.
[2] Ivanov A. N., Fedorov Yu. V. A method for measuring linear displacements using an optical raster illuminated by a spherical wave front. Izvestiya vuzov priborostroeniya. 2019. No 7. Pp. 654-658.
[3] Odinokov S. B., Shishova M. V., Zherdev A. Yu., Kovalev M. S., Galkin M. L., Venediktov V. Yu. Modeling of phase shifts of light in the orders of diffraction gratings of an interference sensor of linear displacements / / Optics and Spectroscopy, 2019, vol. 127, №. 9, pp. 469-476.
[4] Golovkov V. A., Potapova N. I., Rudenko P. N., Stradov B. G. Reception system of pulsed laser rangefinder / / Optical Journal, 2020, vol. 87, № 11, pp. 74-80.
[5] Vetrov A. A., Sergushichev A. N., Sergushichev K. A. Optimization of the optical scheme of a fiber-optic photometric sensor of micro-displacement, Optical Journal, 2019, vol. 86, №. 4. pp. 45-52.
[6] Moskovchenko L. V., Storoshchuk O. B., Ivanov V. N., Buchenkov V. A. Comparative studies of rangefinders emitting in the micron and one-and-a-half-micron wavelength ranges / / Optical Journal 2019, vol. 86,№ 6. pp. 54-57.
[7] Chudakov Yu. I., Tsvetkov V. I., Azarov S. A. Device for determining the astronomical coordinates of an object // Optical Journal. 2019, Vol. 86. No. 8. pp. 29-35.
[8] Malashin R. O. Measuring the distance to cars using a side-view camera without using road markings / / Optical Journal, 2019, vol. 86, No. 11, pp. 51-58.
[9] Stepanov V. A., Moos E. N., Shadrin M. V., Savin V. N., Umnyashkin A. V., Umnyashkin A. V., Umnyashkin N. V. Triangulation sensor for measuring displacements and high-precision control of product parameters in production. Physical and mathematical sciences. 2020. Vol. 13. No 1. pp. 54-65.
[10] Vishnyakov G. N., Minaev V. L., Ivanov A. D., Vinogradov F. Yu. Shear speckle interferometer with quad-lens//Optics and Spectroscopy, 2020, vol. 128, №10. pp. 1577-1583.
[11] Kirillovsky V. K. Invariance of the principles of isophotometry in computer modeling of interferograms // Izvestiya vuzov priborostroenie. 2021. T. 64. №5. pp. 288-293.
[12] Teleshevsky V. I., Sokolov V. A. Laser measuring information system for increasing the accuracy of multi-axis CNC machines // Vestnik MGTU Stankin. 2011. No. 4. S. 8-10.
[13] Titov A. A., Garipov V. K., Kostromin M. A. Measurements of object displacement by the heterodyne method // Russian technological journal. 2016. No. 1 (10). S. 42-53.
[14] Titov A. A., Amursky V. B., Garipov. V. K. Methods of construction and calculation of laser measuring and storage devices. // M.: Mechanical Engineering. 2008.
[15] A. A. Titov Measurements of Movements of Micro-Objects by the Heterodyne Method // Measurement Techniques. 2017. Vol. 60. No. 2. P. 156-160.
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  • APA Style

    Arkady Arsenyevich Titov, Mikhail Mikhailovich Bakharev. (2021). Heterodyne Meter of Transverse and Longitudinal Displacements of Objects. World Journal of Applied Physics, 6(3), 41-46. https://doi.org/10.11648/j.wjap.20210603.11

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    ACS Style

    Arkady Arsenyevich Titov; Mikhail Mikhailovich Bakharev. Heterodyne Meter of Transverse and Longitudinal Displacements of Objects. World J. Appl. Phys. 2021, 6(3), 41-46. doi: 10.11648/j.wjap.20210603.11

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    AMA Style

    Arkady Arsenyevich Titov, Mikhail Mikhailovich Bakharev. Heterodyne Meter of Transverse and Longitudinal Displacements of Objects. World J Appl Phys. 2021;6(3):41-46. doi: 10.11648/j.wjap.20210603.11

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  • @article{10.11648/j.wjap.20210603.11,
      author = {Arkady Arsenyevich Titov and Mikhail Mikhailovich Bakharev},
      title = {Heterodyne Meter of Transverse and Longitudinal Displacements of Objects},
      journal = {World Journal of Applied Physics},
      volume = {6},
      number = {3},
      pages = {41-46},
      doi = {10.11648/j.wjap.20210603.11},
      url = {https://doi.org/10.11648/j.wjap.20210603.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20210603.11},
      abstract = {Nowadays, optical methods are widely used to measure the movements of various objects. In this case, it is necessary to measure both longitudinal displacements at a large distance, and transverse ones. Such tasks have to be solved when measuring the displacements of the cutting tools of machine tools. Among the optical methods, the most accurate is the method of heterodyne interferometry. However, this method does not allow making absolute measurements, since the period of the interference pattern is commensurate with the wavelength of light, which requires counting the number of stripes. In addition, the readjustment of this method requires two-frequency lasers and rather complex optical and electronic systems, which significantly complicates their application. To solve this problem, we used the method of heterodyne interferometry developed by the authors, which, in contrast to the known methods, allows us to make absolute measurements of the parameters of objects. This is achieved by creating a period of the interference pattern, which is equal to the speed of sound in the acousto-optical modulator divided by the modulator control frequency. The result was aa block diagram of a device for measuring transverse and longitudinal displacements of objects by the heterodyne method is developed. Analytical expressions are obtained for calculating the signal strength at the photodetector, the periods of interference patterns, the phase shift depending on the transverse and longitudinal displacements, the measurement range and the measurement accuracy, which allowed us to determine the main parameters of the device. To confirm the results obtained, an experiment was carried out. For this, a block diagram of the experiment was developed, with the help of which the influence of the beam divergence on the period of the interference pattern was determined. The experiment showed good agreement between theory and experiment.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Heterodyne Meter of Transverse and Longitudinal Displacements of Objects
    AU  - Arkady Arsenyevich Titov
    AU  - Mikhail Mikhailovich Bakharev
    Y1  - 2021/07/28
    PY  - 2021
    N1  - https://doi.org/10.11648/j.wjap.20210603.11
    DO  - 10.11648/j.wjap.20210603.11
    T2  - World Journal of Applied Physics
    JF  - World Journal of Applied Physics
    JO  - World Journal of Applied Physics
    SP  - 41
    EP  - 46
    PB  - Science Publishing Group
    SN  - 2637-6008
    UR  - https://doi.org/10.11648/j.wjap.20210603.11
    AB  - Nowadays, optical methods are widely used to measure the movements of various objects. In this case, it is necessary to measure both longitudinal displacements at a large distance, and transverse ones. Such tasks have to be solved when measuring the displacements of the cutting tools of machine tools. Among the optical methods, the most accurate is the method of heterodyne interferometry. However, this method does not allow making absolute measurements, since the period of the interference pattern is commensurate with the wavelength of light, which requires counting the number of stripes. In addition, the readjustment of this method requires two-frequency lasers and rather complex optical and electronic systems, which significantly complicates their application. To solve this problem, we used the method of heterodyne interferometry developed by the authors, which, in contrast to the known methods, allows us to make absolute measurements of the parameters of objects. This is achieved by creating a period of the interference pattern, which is equal to the speed of sound in the acousto-optical modulator divided by the modulator control frequency. The result was aa block diagram of a device for measuring transverse and longitudinal displacements of objects by the heterodyne method is developed. Analytical expressions are obtained for calculating the signal strength at the photodetector, the periods of interference patterns, the phase shift depending on the transverse and longitudinal displacements, the measurement range and the measurement accuracy, which allowed us to determine the main parameters of the device. To confirm the results obtained, an experiment was carried out. For this, a block diagram of the experiment was developed, with the help of which the influence of the beam divergence on the period of the interference pattern was determined. The experiment showed good agreement between theory and experiment.
    VL  - 6
    IS  - 3
    ER  - 

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Author Information
  • Faculty of Instrumentation, Russian Technological University (MIREA), Moscow, Russia

  • Faculty of Instrumentation, Russian Technological University (MIREA), Moscow, Russia

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