Skip to main content
Log in

A Second-Order Optical Differentiator Based on a Metal–Dielectric–Metal Composite Structure

  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope


The optical properties of a composite structure consisting of two sequentially arranged three-layer metal–dielectric–metal (MDM) structures separated by a dielectric layer are considered. It is shown that such a composite MDM structure can perform second-order spatiotemporal differentiation with high quality at normal incidence of optical signal. The obtained results can be used to create systems for analog optical computing and optical information processing.

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.

Fig. 1.
Fig. 2.
Fig. 3.


  1. Silva, A., Monticone, F., Castaldi, G., et al., Science, 2014, vol. 343, p. 161.

    ADS  Google Scholar 

  2. Zhou, Y., Zheng, H., Kravchenko, I.I., and Valentine, J., Nat. Photonics, 2020, vol. 14, p. 316.

    Article  ADS  Google Scholar 

  3. Bykov, D.A., Doskolovich, L.L., and Soifer, V.A., Opt. Lett., 2011, vol. 36, p. 3509.

    Article  ADS  Google Scholar 

  4. Doskolovich, L.L., Bykov, D.A., Bezus, E.A., and Soifer, V.A., Opt. Lett., 2014, vol. 39, p. 1278.

    Article  ADS  Google Scholar 

  5. Golovastikov, N.V., Doskolovich, L.L., Bezus, E.A., et al., J. Exp. Theor. Phys., 2018, vol. 127, p. 202.

    Article  ADS  Google Scholar 

  6. Karimi, A., Zarifkar, A., and Miri, M., J. Opt. Soc. Am. B, 2019, vol. 36, p. 1738.

    Article  ADS  Google Scholar 

  7. Kashapov, A.I., Doskolovich, L.L., Bezus, E.A., et al., J. Opt., 2021, vol. 23, no. 2, p. 023501.

    Article  Google Scholar 

  8. Zhang, J., Ying, Q., and Ruan, Z., Opt. Lett., 2019, vol. 44, p. 4511.

    Article  ADS  Google Scholar 

  9. Golovastikov, N.V., Bykov, D.A., and Doskolovich, L.L., Opt. Lett., 2015, vol. 40, p. 3492.

    Article  ADS  Google Scholar 

  10. Refractive index database.

  11. Johnson, P.B. and Christy, R.W., Phys. Rev. B, 1972, vol. 6, no. 12, p. 4370.

    Article  ADS  Google Scholar 

  12. Moharam, M.G., Pommet, D.A., Grann, E.B., and Gaylord, T.K., J. Opt. Soc. Am. A, 1995, vol. 12, p. 1077.

    Article  ADS  Google Scholar 

Download references


This work was supported by the Russian Science Foundation, project no. 19-19-00514 (investigation of the MDM structures); and by the RF Ministry of Science and Higher Education as part of a State assignment for the Federal Scientific Research Centre “Crystallography and Photonics” of the Russian Academy of Sciences (implementing the simulation software).

Author information

Authors and Affiliations


Corresponding author

Correspondence to A. I. Kashapov.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by E. Domoroshchina

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kashapov, A.I., Bezus, E.A., Bykov, D.A. et al. A Second-Order Optical Differentiator Based on a Metal–Dielectric–Metal Composite Structure. Bull. Russ. Acad. Sci. Phys. 87, 13–17 (2023).

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: