Skip to main content
SpringerLink
Log in

Mathematical Tool for Calculating the Microstructure of a Harmonic Kinoform Lens

  • Optical Information Technologies
  • Published:
Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

The paper presents a mathematical tool based on the requirement of tautochronism in each of the diffraction orders of a harmonic kinoform lens, which was used as the basis to develop a method for calculating the lens microstructure. The method provides a limitation of the relative longitudinal chromatism of the lens to a given level. In addition, it allows obtaining the initial parameters necessary for the ray calculation and optimization of an optical system with a harmonic kinoform lens using well-known commercial optical design computer programs.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. W. Sweeney, “Harmonic Diffractive Lenses,” Appl. Opt. 34 (14), 2469–2475 (1995).

    Article  ADS  Google Scholar 

  2. S. I. Kharitonov, “Geometric-Optical Calculation of the Focal Spot of a Harmonic Diffraction Lens,” Komp. Opt. 40 (3), 331–337 (2016).

    Article  Google Scholar 

  3. S. N. Khonina, “Analysis of the Focusing by a Harmonic Diffraction Lens Taking into Account the Dispersion of the Refractive Index,” Komp. Opt. 41 (3), 338–347 (2017).

    Article  Google Scholar 

  4. G. G. Slusarev, “Optical Systems with Phase Layers,” DAN SSSR 113 (4), 780–782 (1957).

    Google Scholar 

  5. A. I. Antonov, “Diffractive Elements for Imaging Optical Systems,” Autometrya 53 (5), 4–16 (2017) [Optoelecton., Instrum. Data Process. 53 (5), 421–430 (2017)].

    Google Scholar 

  6. G. I. Greysukh, “Harmonic Kinoform Lens: Diffraction Efficiency and Chromatism,” Opt. Spektr. 125 (2), 223–228 (2018).

    ADS  Google Scholar 

  7. M. G. Moharam, “Diffraction Analysis of Dielectric Surface-Relief Gratings,” JOSA 72 (10), 1385–1392 (1982).

    Article  ADS  Google Scholar 

  8. N. M. Lyndin, “Modal and C Methods Grating Design and Analysis Software,” http://www.mcgrating.co.

  9. M. Kovatchev, “Aberration Characteristics of Optical Elements,” Proc. SPIE. 1183, 643–652 (1989).

    Article  ADS  Google Scholar 

  10. J. M. Geary, Introduction to Lens Design: With Practical ZEMAX Examples (Willmann-Bell, Inc., Richmond, 2002).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Penza State University of Architecture and Construction, ul. Germana Titova 28, Penza, 440028, Russia

    A. I. Antonov, G. I. Greisukh, E. G. Ezhov & E. A. Ryzhova

Authors
  1. A. I. Antonov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. I. Greisukh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. G. Ezhov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. E. A. Ryzhova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. I. Greisukh.

Additional information

Russian Text © A.I. Antonov, G.I. Greisukh, E.G. Ezhov, E.A. Ryzhova, 2019, published in Avtometriya, 2019, Vol. 55, No. 1, pp. 3–11.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Antonov, A.I., Greisukh, G.I., Ezhov, E.G. et al. Mathematical Tool for Calculating the Microstructure of a Harmonic Kinoform Lens. Optoelectron.Instrument.Proc. 55, 1–7 (2019). https://doi.org/10.3103/S8756699019010011

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S8756699019010011

Keywords

Search

Navigation