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Computer Optics, 2017, Volume 41, Issue 2, Pages 175–182 (Mi co373)  

OPTO-IT

Hybrid asymptotic method for analyzing caustics of optical elements in the axially symmetric case

S. I. Kharitonovab, S. G. Volotovskya, S. N. Khoninaab

a Image Processing Systems Institute of the RAS - Branch of the FSRC "Crystallography and Photonics" RAS, Samara, Russia
b Samara National Research University, Samara, Russia

Abstract: In this work we propose a new approach to calculating the distribution of light fields in the framework of geometrical optics. A new integral operator for computing the intensity distribution in the geometrical optics approximation is suggested. Using the proposed method, we derive the intensity distributions of previously studied wavefronts. Singular points of these distributions are found and the intensity distributions near the caustics are calculated. The developed method is used to calculate the formation of caustics by harmonic diffractive optical elements in the axially symmetric case.

Keywords: geometrical optics, caustic, fractional axicon, harmonic diffractive lens.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-29-11744 офи_м
This work was financially supported by the Russian Foundation for Basic Research (grant 16-29-11744).


DOI: https://doi.org/10.18287/2412-6179-2017-41-2-175-182

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Full text: http://www.computeroptics.smr.ru/.../410205.html
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Received: 06.03.2017
Accepted:22.03.2017

Citation: S. I. Kharitonov, S. G. Volotovsky, S. N. Khonina, “Hybrid asymptotic method for analyzing caustics of optical elements in the axially symmetric case”, Computer Optics, 41:2 (2017), 175–182

Citation in format AMSBIB
\Bibitem{KhaVolKho17}
\by S.~I.~Kharitonov, S.~G.~Volotovsky, S.~N.~Khonina
\paper Hybrid asymptotic method for analyzing caustics of optical elements in the axially symmetric case
\jour Computer Optics
\yr 2017
\vol 41
\issue 2
\pages 175--182
\mathnet{http://mi.mathnet.ru/co373}
\crossref{https://doi.org/10.18287/2412-6179-2017-41-2-175-182}


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