Harmonic lens with an annular aperture
Skidanov R.V.
, Strelkov Y.S., Volotovsky S.G.


Image Processing Systems Institute of the RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia,

Samara National Research University, Samara, Russia

Full text of article: Russian language.


We have considered the design of a compact imaging lens based on a reflective circular harmonic lens. The performance of such a lens has been numerically simulated in the ZEMAX program. A point spread function has been calculated. A number of formulae describing the relationship between the key parameters of the lens have been obtained. We have shown that in this case it is possible to design a compact imaging lens whose length is by an order of magnitude smaller than its focal length.

harmonic lens, imaging system, lens, circular aperture.

Skidanov RV, Strelkov YS, Volotovsky SG. Harmonic lens with an annular aperture. Computer Optics 2017; 41(6): 842-847. DOI: 10.18287/2412-6179-2017-41-6-842-847.


  1. Dobson SL, Sun P, Fainman Y Diffractive lenses for chromatic confocal imaging. Appl Opt 1997; 36(20): 4744-4748. DOI: 10.1364/AO.36.004744.
  2. Kazanskii NL, Khonina SN, Skidanov RV, Morozov AA, Kharitonov SI, Volotovskiy SG. Formation of images using multilevel difractive lens // Computer Optics 2014; 38(3): 425-434.
  3. Sweeney DW, Sommargren GE Harmonic diffractive lenses. Appl Opt 1995; 34(14): 2469-2475. DOI: 10.1364/AO.34.002469.
  4. Khonina SN, Ustinov AV, Skidanov RV, Morozov AA Comparative study of the spectral characteristics of aspheric lenses [In Russian]. Computer Optics 2015; 39(3): 363-369.
  5. Nikonorov A, Skidanov R, Fursov V, Petrov M, Bibikov S, Yuzifovich Y. Fresnel lens imaging with post-capture image processing. Proc CVPRW 2015: 33-41. DOI: 10.1109/CVPRW.2015.7301373.
  6. Rosli A, Manaf A, Sugiyama T, Yan J. Design and fabrication of Si-HDPE hybrid Fresnel lenses for infrared imaging systems. Opt Express 2017; 25(2): 1202-1220. DOI: 10.1364/OE.25.001202.
  7. Terebizh VYu. Modern optical telescopes [In Russian]. Moscow: "Fizmatlit" Publisher; 2005. ISBN: 5-9221-0586-8.

© 2009, IPSI RAS
151, Molodogvardeiskaya str., Samara, 443001, Russia; E-mail: journal@computeroptics.ru ; Tel: +7 (846) 242-41-24 (Executive secretary), +7 (846)332-56-22 (Issuing editor), Fax: +7 (846) 332-56-20