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Computer Optics, 2018, Volume 42, Issue 1, Pages 44–53 (Mi co477)  

OPTO-IT

Calculation of the higher-order axial spherical aberrations of a high-aperture focusing holographic optical element with the corrected third-order spherical aberration. Part 1

Yu. Ts. Batomunkuev, A. A. Dianova

Optics and Optical Technologies Institute, Siberian State University of Geosystems and Technology, Novosibirsk, Russia

Abstract: Results of calculating the radius of higher-order spherical aberrations (fifth, seventh and ninth orders) of a high-aperture focusing holographic optical element (HOE) with corrected third-order spherical aberration in the operating spectral range are discussed. As examples, high-aperture axial HOEs with relative apertures close to 1:1 in specified spectral ranges are considered. Coordinates of the point sources of a divergent deference wave and a convergent object wave of the HOE are given. It is shown that when imaging a point source emitting in the 0.250-0.281-$\mu$m and 0.500-0.563-$\mu$m spectral ranges, the use of an HOE in the first and second diffraction orders makes it is possible to correct the third-order spherical aberration on two wavelengths and the fifth- and seventh-order spherical aberrations on one wavelength. Note that these visible-spectrum wavelengths are different from the HOE's recording wavelength of 0.532$\mu$m.

Keywords: holographic optical element (HOE), chromatic aberration, higher-order spherical aberration, sphero-chromatic aberration.

Funding Agency
The work was carried out within the framework of the initiative "Calculation and Development of Holographic Optical Elements" at the Institute of Optics and Optical Technologies of the Siberian State University of Geo-Systems and Technologies.


DOI: https://doi.org/10.18287/2412-6179-2018-42-1-44-53

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Full text: http://www.computeroptics.smr.ru/.../420106.html
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Received: 14.09.2017
Accepted:03.12.2017

Citation: Yu. Ts. Batomunkuev, A. A. Dianova, “Calculation of the higher-order axial spherical aberrations of a high-aperture focusing holographic optical element with the corrected third-order spherical aberration. Part 1”, Computer Optics, 42:1 (2018), 44–53

Citation in format AMSBIB
\Bibitem{BatDia18}
\by Yu.~Ts.~Batomunkuev, A.~A.~Dianova
\paper Calculation of the higher-order axial spherical aberrations of a high-aperture focusing holographic optical element with the corrected third-order spherical aberration. Part 1
\jour Computer Optics
\yr 2018
\vol 42
\issue 1
\pages 44--53
\mathnet{http://mi.mathnet.ru/co477}
\crossref{https://doi.org/10.18287/2412-6179-2018-42-1-44-53}


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