Vol. 35, issue 08, article # 12

Geints Yu. E., Panina E. K. Optimal light focusing by a Fresnel mesowavelength phase plate with stepped zone profile. // Optika Atmosfery i Okeana. 2022. V. 35. No. 08. P. 679–685. DOI: 10.15372/AOO20220812 [in Russian].
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The results of numerical simulation of the optical radiation focusing by Fresnel zone plates (ZP) with the wavelength-scale (mesowavelength) dimensions and a two-layer profile of phase ridges are presented. We show that the dimensions and intensity of the focusing area are sensitive to the type of ZP design. By changing the phase step shape (height and width of plate faces) it is possible to significantly improve the characteristics of the light field in the focusing region due to smoothing the wave phase profile after passing through individual ZP layers. A comparison is made with the case of a conventional binary ZP.


near-field light focusing, Fresnel zone plates, mesowavelength scatterer, diffraction limit


  1. Chen W.T., Zhu A.Y., Capasso F. Flat optics with dispersion-engineered metasurfaces // Nat. Rev. Mater. 2020. V. 5. P. 604–620. DOI: 10.1038/s41578-020-0203-3.
  2. Lim C.S., Hong M.H., Lin Y., Xie Q., Luk’yanchuk B.S., Kumar A.S., Rahman M. Microlens array fabrication by laser interference lithography for super-resolution surface nanopatterning // Appl. Phys. Lett. 2006. V. 89. P. 191125. DOI: 10.1063/1.2374809.
  3. Wu J., Cui X., Lee L.M., Yang C. The application of Fresnel zone plate based projection in optofluidic microscopy // Opt. Express. 2008. V. 16. P. 15595–15602.
  4. Fishman A.I. Fazovye opticheskie elementy – kinoformy // Sorosovskij obr. zhurn. 1999. N 12. P. 76–83.
  5. Di Fabrizio E., Romanato F., Gentili M., Cabrini S., Kaulich B., Susini J., Barrett R. High-efficiency multilevel zone plates for keV X-rays // Nature. 1999. V. 401. P. 895–898. DOI: 10.1038/44791.
  6. Niu L.-G., Wang D., Jiang T., Wu S.-Z., Li A.-W., Song J.-F. High fill-factor multilevel Fresnel zone plate arrays by femtosecond laser direct writing // Opt. Commun. 2011. V. 284, iss. 3. P. 777–781. DOI: 10.1016/j.optcom.2010.09.066.
  7. Kotlyar V.V., Nalimov A.G., Shanina M.I., Sojfer V.A., O'Faolajn L. Zonnaya plastinka na membrane dlya zhestkogo rentgenovskogo izlucheniya // Komp'yuternaya optika. 2011. V. 35, N 1. P. 36–41.
  8. Chen W.T., Zhu A.Y., Capasso F. Flat optics with dispersion-engineered metasurfaces // Nat. Rev. Mater. 2020. V. 5. P. 604–620. DOI: 10.1038/s41578-020-0203-3.
  9. Xie W., Yang J., Chen D., Huang J., Jiang X., He J. On-chip multiwavelength achromatic thin flat lens // Opt. Commun. 2021. V. 484. 126645. DOI: 10.1016/j.optcom.2020.126645.
  10. Kotlyar V.V., Stafeev S.S., Nalimov A.G., Kotlyar M.V., O’Faolain L., Kozlova E.S. Tight focusing of laser light using a chromium Fresnel zone plate // Opt. Express. 2017. V. 25. P. 19662–19671. DOI: 10.1364/OE.25.019662.
  11. Geints Y.E., Minin O.V., Panina E.K., Minin I.V. Controlling near-field focusing of a mesoscale binary phase plate in an optical radiation field with circular polarization // Comp. Opt. 2021. V. 45, N 4. P. 512–519. DOI: 10.18287/2412-6179-CO-878.
  12. Geints Yu.E., Panina E.K., Minin I.V., Minin O.V. Study of focusing parameters of wavelength-scale binary phase Fresnel zone plate // J. Opt. 2021. V. 23, N 6. 065101 (9 pp). DOI: 10.1088/2040-8986/abf891.
  13. Gejnts Yu.E., Panina E.K., Minin I.V., Minin O.V. Fokusirovka sveta binarnoj zonnoj plastinkoj Frenelya c razlichnymi konstruktivnymi osobennostyami // Optika atmosf. i okeana. 2021. V. 34, N 7. P. 507–514; Geints Yu.E., Panina E.K., Minin I.V., Minin O.V. Light focusing by a binary Fresnel zone plate with various design features // Atmos. Ocean. Opt. 2021. V. 34, N 6. P. 724–731.
  14. Taflove A., Hagness S. Computational electrodynamics: The Finite-Difference Time-Domain method. Boston: Arthech House Pub, 2000. 852 p.
  15. Zhang Y., An H., Zhang D., Cui G., Ruan X. Diffraction theory of high numerical aperture subwavelength circular binary phase Fresnel zone plate // Opt. Express. 2014. V. 22. P. 27425–27436.
  16. Minin I.V., Minin O.V., Gagnon N., Petosa A. Investigation of the resolution of phase correcting Fresnel lenses with small values of F/D and subwavelength focus // Comp. Opt. 2006. V. 30. P. 65–68.