Full text of article: Russian language.

 PDF

Abstract:
The work is devoted to the theoretical and numerical investigation of the focusing properties of a harmonic lens with due regard for the refractive index dispersion. It is shown that the harmonic lens has hybrid refractive-diffractive properties, which are expressed not only in the appearance of additional local foci, but also in the displacement of the main focus even for aliquot wavelengths. The latter effect arises precisely because of the dispersion of the refractive index of the lens material.

Keywords:
harmonic diffractive lens, Fresnel transform, diffraction orders, chromatism.

Citation:
Khonina SN, Volotovsky SG, Ustinov AV, Kharitonov SI. Analysis of focusing light by a harmonic diffractive lens with regard for the refractive index dispersion. Computer Optics 2017; 41(3): 338-347. – DOI: 10.18287/2412-6179-2017-41-3-338-347.

References:

1. Soifer VA, ed. Computer Design of Diffractive Optics. Cambridge Inter Scien Pub Ltd & Woodhead Pub Ltd; 2012.
2. Soifer VA, ed. Diffractive Nanophotonics. Boca Raton: CRC Press, Taylor&Francis Group, CISP; 2014.
3. Aieta F, Kats MA, Genevet P, Capasso F. Multiwavelength achromatic metasurfaces by dispersive phase compensation. Science 2015; 347(6228): 1342-1345. DOI: 10.1126/science.aaa2494.
4. Swanson GJ. Binary optics technology: the theory and design of multi-level diffractive optical elements. Lexington, Massachusetts: Massachusetts Institute of Technology, Lincoln Laboratory; 1989.
5. Bobrov ST, Greysukh GI, Turkevich YuG. Optics of diffractive elements and systems [In Russian]. Leningrad: "Mashinostroenie" Publisher; 1986.
6. Greysukh GI, Ezhov EG, Stepanov SA. Comparative analysis of the chromatizm of diffractive and refractive lenses [In Russian]. Computer Optics 2005; 28: 60-65.
7. Kazanskii NL, Khonina SN, Skidanov RV, Morozov AA, Kharitonov SI, Volotovskiy SG. Formation of images using multi-level diffractive lens [In Russian]. Computer Optics 2014; 38(3): 425-434.
8. Skidanov RV, Khonina SN. How processing errors and broadening of the emission line of a laser affect the operating quality of diffractive optical elements. Journal of Optical Technology 2004; 71(7): 469-471. DOI: 10.1364/JOT.71.000469.
9. Alferov SV, Karpeev SV, Khonina SN, Tukmakov KN, Moiseev OYu, Shulyapov SA, Ivanov KA, Savel’ev-Trofimov AB. On the possibility of controlling laser ablation by tightly focused femtosecond radiation. Quantum Electronics 2014; 44(11): 1061-1065. DOI: 10.1070/QE2014v044n11ABEH015471.
10. Karpeev SV, Alferov SV, Khonina SN, Kudryashov SI. Study of the broadband radiation intensity distribution formed by diffractive optical elements. Computer Optics 2014; 38(4): 689-694.
11. Davidson N, Friesem AA, Hasman E. Analytic design of hybrid diffractive-refractive achromats. Applied Optics 1993; 32(25): 4770-4774. DOI: 10.1364/AO.32.004770.
12. Fang YC, Liu T-K, Tsai C-M, Chou J-H, Lin H-C, Lin WT. Extended optimization of chromatic aberrations via a hybrid Taguchi–genetic algorithm for zoom optics with a diffractive optical element. Journal of Optics A: Pure and Applied Optics 2009; 11(4): 045706. DOI: 10.1088/1464-4258/11/4/045706.
13. Sweeney DW, Sommargen GE. Harmonic diffractive lenses. Applied Optics 1995; 34(14): 2469-2475. DOI: 10.1364/AO.34.002469.
14. Rossi M, Kunz RE, Herzig HP. Refractive and diffractive properties of planar micro-optical elements. Appl Opt 1995; 34(26): 5996-6007. DOI: 10.1364/AO.34.005996.
15. Sales TRM, Morris GM. Diffractive-refractive behavior of kinoform lenses. Appl Opt 1997; 36(1): 253-257. DOI: 10.1364/AO.36.000253.
16. Kharitonov SI, Volotovsky SG, Khonina SN. Geometric-optical calculation of the focal spot of a harmonic diffractive lens. Computer Optics 2016; 40(3): 331-337. DOI: 10.18287/2412-6179-2016-40-3-331-337.

---

© 2009, IPSI RAS
Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; E-mail: journal@computeroptics.ru; Phones: +7 (846) 332-56-22, Fax: +7 (846) 332-56-20