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Computer Optics, 2016, Volume 40, Issue 4, Pages 439–450 (Mi co237)  

OPTO-IT

Solving the inverse problem of focusing laser radiation in a plane region using geometrical optics

S. I. Kharitonovab, L. L. Doskolovichab, N. L. Kazanskiiab

a Samara National Research University, Samara, Russia
b Image Processing Systems Institute îf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia

Abstract: We proposed a method for calculating the eikonal function of a light field from the condition of generating a desired intensity distribution in a predetermined region of the focal plane. To improve the efficiency of solving the problem of focusing we developed a modification of a method of rectangle matching, which enables designing diffractive optical elements (DOE) intended to focus into a plane region. The novelty of our approach consists in a method of reconstructing the eikonal function from the known ray map of points on the DOE onto points in the focal plane. We presented the results of the DOE-aided focusing into a circle, a rectangle, a rhombus, and a superellipse. The simulation results showed the high quality of focusing, thus corroborating the efficiency of the proposed method. We expect to use the diffractive optical elements (DOE) for lighting the area of interest from low-flying drones used for night-time Earth remote sensing.

Keywords: geometrical optics, the eikonal function, focusing, method of matched rectangles, ray mapping.

Funding Agency Grant Number
Russian Science Foundation 14-31-00014
Work done at the expense of the grant of the Russian Scientific Fund (project ¹ 14-31-00014).


DOI: https://doi.org/10.18287/2412-6179-2016-40-4-439-450

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Full text: http://www.computeroptics.smr.ru/.../400402.html
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Received: 02.06.2016
Accepted:27.08.2016

Citation: S. I. Kharitonov, L. L. Doskolovich, N. L. Kazanskii, “Solving the inverse problem of focusing laser radiation in a plane region using geometrical optics”, Computer Optics, 40:4 (2016), 439–450

Citation in format AMSBIB
\Bibitem{KhaDosKaz16}
\by S.~I.~Kharitonov, L.~L.~Doskolovich, N.~L.~Kazanskii
\paper Solving the inverse problem of focusing laser radiation in a plane region using geometrical optics
\jour Computer Optics
\yr 2016
\vol 40
\issue 4
\pages 439--450
\mathnet{http://mi.mathnet.ru/co237}
\crossref{https://doi.org/10.18287/2412-6179-2016-40-4-439-450}


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