Skip to main content
Log in

An Efficient Method for Determining the Output Plane of a Small-Sized Phase Object in Application to Its Image Processing

  • Published:
Journal of Russian Laser Research Aims and scope

Abstract

We propose an efficient method for determining the position of the output plane of a phase object, which is registered by a lens system in the presence of a defocusing effect. The method involves the simultaneous employment of 2D diffraction maps of the diffracted wave constructed for its forward and inverse directions of propagation relative to the object output plane. We show that the resultant diffraction pattern obtained for both cases of the wave propagation appears as the two opposite directed diffraction cones with a special narrow zone between them. Within such a zone, there are particular regularities in the behavior of the intensity and phase shift of the wave. The knowledge of these regularities allows one to determine the position of the object output plane with micrometer accuracy, even when a single angle of laser probing is employed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. Smaznova, A. Khirianova, E. Parkevich, et al., Opt. Express, 29, 35806 (2021).

    Article  ADS  Google Scholar 

  2. A. Srivastava, A. Phukan, P. Panigrahi, and K. Muralidhar, Opt. Lasers Eng., 42, 469 (2004).

    Article  Google Scholar 

  3. E. Parkevich, M. Medvedev, A. Selyukov, et al., Opt. Lasers Eng., 116, 82 (2019).

    Article  Google Scholar 

  4. Y. Sung, W. Choi, C. Fang-Yen, et al., Opt. Express, 17, 266 (2009).

    Article  ADS  Google Scholar 

  5. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, Elsevier (2013).

    Google Scholar 

  6. J. W. Goodman, Introduction to Fourier Optics, Roberts and Company Publishers (2005).

  7. V. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas, Pergamon Press (1970).

  8. E. Parkevich, M. Medvedev, G. Ivanenkov, et al., Plasma Sources Sci. Technol., 28, 095003 (2019).

    Article  ADS  Google Scholar 

  9. S. M. Rytov, Y. A. Kravtsov, and V. I. Tatarskii, Introduction to Statistical Radiophysics 2, Springer (2011).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. V. Parkevich.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Parkevich, E.V., Khirianova, A.I., Khirianov, T.F. et al. An Efficient Method for Determining the Output Plane of a Small-Sized Phase Object in Application to Its Image Processing. J Russ Laser Res 44, 566–575 (2023). https://doi.org/10.1007/s10946-023-10164-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10946-023-10164-4

Keywords

Navigation