{"id":15404,"date":"2023-01-13T09:43:10","date_gmt":"2023-01-13T07:43:10","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=15404"},"modified":"2023-02-15T00:49:47","modified_gmt":"2023-02-14T22:49:47","slug":"rozroblennya-optychnyh-system-16-linzovyh-ortoskopichnyh-teleobyektyviv","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=15404","title":{"rendered":"\u0420\u043e\u0437\u0440\u043e\u0431\u043b\u0435\u043d\u043d\u044f \u043e\u043f\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c 16-\u043b\u0456\u043d\u0437\u043e\u0432\u0438\u0445 \u043e\u0440\u0442\u043e\u0441\u043a\u043e\u043f\u0456\u0447\u043d\u0438\u0445 \u0442\u0435\u043b\u0435\u043e\u0431&#8217;\u0454\u043a\u0442\u0438\u0432\u0456\u0432"},"content":{"rendered":"<p><!--more--><\/p>\n<p style=\"text-align: center;\">\u0420\u041e\u0417\u0420\u041e\u0411\u041b\u0415\u041d\u041d\u042f \u041e\u041f\u0422\u0418\u0427\u041d\u0418\u0425 \u0421\u0418\u0421\u0422\u0415\u041c 16-\u041b\u0406\u041d\u0417\u041e\u0412\u0418\u0425 \u041e\u0420\u0422\u041e\u0421\u041a\u041e\u041f\u0406\u0427\u041d\u0418\u0425 \u0422\u0415\u041b\u0415\u041e\u0411&#8217;\u0404\u041a\u0422\u0418\u0412\u0406\u0412<\/p>\n<p style=\"text-align: center;\">DEVELOPMENT OF OPTICAL SYSTEMS OF 16-LENS ORTHOSCOPIC TELEPHOTO LENSES<\/p>\n<p><strong>\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 219-223. \u041d\u043e\u043c\u0435\u0440: \u21166, 2022 (315)\u00a0<\/strong> <a href=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2023\/01\/315-1-219-223.pdf\"> <img loading=\"lazy\" class=\"size-full wp-image-69 alignnone\" src=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/pdf.png\" alt=\"\" width=\"76\" height=\"32\" \/><\/a><br \/>\n<strong>\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong><br \/>\n\u0421\u041e\u041a\u0423\u0420\u0415\u041d\u041a\u041e \u0412\u044f\u0447\u0435\u0441\u043b\u0430\u0432<br \/>\n\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0423\u043a\u0440\u0430\u0457\u043d\u0438<br \/>\n\u00ab\u041a\u0438\u0457\u0432\u0441\u044c\u043a\u0438\u0439 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u0456\u043c\u0435\u043d\u0456 \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e\u00bb<br \/>\nORCID ID: <a href=\"https:\/\/orcid.org\/0000-0001-5057-182X\">0000-0001-5057-182X<\/a><br \/>\ne-mail: sokurenko2@meta.ua<br \/>\n\u0425\u0423\u0422\u041e\u0420\u041e\u0412\u0418\u0419 \u0406\u0432\u0430\u043d<br \/>\n\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0423\u043a\u0440\u0430\u0457\u043d\u0438<br \/>\n\u00ab\u041a\u0438\u0457\u0432\u0441\u044c\u043a\u0438\u0439 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u0456\u043c\u0435\u043d\u0456 \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e\u00bb<br \/>\ne-mail: akryzhnii@ukr.net<br \/>\n\u0421\u041e\u041a\u0423\u0420\u0415\u041d\u041a\u041e O\u043b\u0435\u0433<br \/>\n\u0412\u0421\u041f \u00ab\u041e\u043f\u0442\u0438\u043a\u043e-\u043c\u0435\u0445\u0430\u043d\u0456\u0447\u043d\u0438\u0439 \u0444\u0430\u0445\u043e\u0432\u0438\u0439 \u043a\u043e\u043b\u0435\u0434\u0436<br \/>\n\u041a\u0438\u0457\u0432\u0441\u044c\u043a\u043e\u0433\u043e \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443 \u0456\u043c\u0435\u043d\u0456 \u0422\u0430\u0440\u0430\u0441\u0430 \u0428\u0435\u0432\u0447\u0435\u043d\u043a\u0430\u00bb<br \/>\ne-mail: opticsom@gmail.com<br \/>\nSOKURENKO Vyacheslav, KHUTOROVYI Ivan<br \/>\nNational Technical University of Ukraine &#8220;Igor Sikorsky Kyiv Polytechnic Institute&#8221;<br \/>\nSOKURENKO Oleg<br \/>\nOptical-mechanical faculty college of Taras Shevchenko National University of Kyiv<br \/>\n<strong>DOI:<\/strong> <a href=\"https:\/\/www.doi.org\/10.31891\/2307-5732-2022-315-6-219-223\">https:\/\/www.doi.org\/10.31891\/2307-5732-2022-315-6-219-223<\/a><\/p>\n<p style=\"text-align: center;\"><strong>\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n<p>\u0412 \u0434\u0430\u043d\u0456\u0439 \u0440\u043e\u0431\u043e\u0442\u0456 \u0432\u0438\u043a\u043e\u043d\u0430\u043d\u043e \u0431\u0430\u0433\u0430\u0442\u043e\u0440\u0430\u0437\u043e\u0432\u0443 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0456 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0438 \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u043e\u0433\u043e \u0441\u0438\u043d\u0442\u0435\u0437\u0443 \u043d\u043e\u0432\u0438\u0445 \u043e\u043f\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0442\u0435\u043b\u0435\u043e\u0431\u2019\u0454\u043a\u0442\u0438\u0432\u0456\u0432, \u044f\u043a\u0430 \u0431\u0430\u0437\u0443\u0454\u0442\u044c\u0441\u044f \u043d\u0430 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0456 \u0441\u0442\u043e\u0445\u0430\u0441\u0442\u0438\u0447\u043d\u043e\u0457 \u0433\u043b\u043e\u0431\u0430\u043b\u044c\u043d\u043e\u0457 \u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0430\u0446\u0456\u0457. \u0417\u043e\u043a\u0440\u0435\u043c\u0430, \u0437\u0434\u0456\u0439\u0441\u043d\u0435\u043d\u043e \u0430\u0431\u0435\u0440\u0430\u0446\u0456\u0439\u043d\u0438\u0439 \u0441\u0438\u043d\u0442\u0435\u0437 \u0434\u0435\u043a\u0456\u043b\u044c\u043a\u043e\u0445 \u043e\u043f\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c 16-\u043b\u0456\u043d\u0437\u043e\u0432\u0438\u0445 \u043e\u0440\u0442\u043e\u0441\u043a\u043e\u043f\u0456\u0447\u043d\u0438\u0445 \u0442\u0435\u043b\u0435\u043e\u0431\u2019\u0454\u043a\u0442\u0438\u0432\u0456\u0432 \u0437 \u0444\u043e\u043a\u0443\u0441\u043d\u043e\u044e \u0432\u0456\u0434\u0441\u0442\u0430\u043d\u043d\u044e 300\u00a0\u043c\u043c, \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0438\u043c \u043e\u0442\u0432\u043e\u0440\u043e\u043c 1:2,8, \u044f\u043a\u0456 \u043f\u0440\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u0456 \u0434\u043b\u044f \u0440\u043e\u0431\u043e\u0442\u0438 \u0432 \u0432\u0438\u0434\u0438\u043c\u043e\u043c\u0443 \u0441\u043f\u0435\u043a\u0442\u0440\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0434\u0456\u0430\u043f\u0430\u0437\u043e\u043d\u0456 \u0437 \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u0438\u043c\u0438 \u043f\u0440\u0438\u0439\u043c\u0430\u0447\u0430\u043c\u0438 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f \u043f\u043e\u0432\u043d\u043e\u043a\u0430\u0434\u0440\u043e\u0432\u043e\u0433\u043e \u0444\u043e\u0440\u043c\u0430\u0442\u0443 35-\u043c\u043c. \u041d\u0430\u0432\u0435\u0434\u0435\u043d\u0456 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0438 \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043a\u0443 \u0437\u0430\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0445 \u0442\u0435\u043b\u0435\u043e\u0431\u2019\u0454\u043a\u0442\u0438\u0432\u0456\u0432 \u043f\u0456\u0434\u0442\u0432\u0435\u0440\u0434\u0436\u0443\u044e\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0438\u0432\u043d\u0456\u0441\u0442\u044c \u0437\u0430\u043f\u0440\u043e\u043f\u043e\u043d\u043e\u0432\u0430\u043d\u043e\u0433\u043e \u043f\u0456\u0434\u0445\u043e\u0434\u0443 \u0442\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u043d\u0443 \u043c\u043e\u0436\u043b\u0438\u0432\u0456\u0441\u0442\u044c \u0434\u043e\u0441\u044f\u0433\u043d\u0435\u043d\u043d\u044f \u0432\u0438\u0441\u043e\u043a\u043e\u0457 \u044f\u043a\u043e\u0441\u0442\u0456 \u0432\u0438\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u043d\u044f \u0430\u0431\u0435\u0440\u0430\u0446\u0456\u0439 \u0432 \u0440\u043e\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u0438\u0445 \u043e\u043f\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u0445 \u043d\u0430\u0432\u0456\u0442\u044c \u0431\u0435\u0437 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u0444\u043b\u044e\u043e\u0440\u0438\u0442\u0443 (\u0444\u0442\u043e\u0440\u0438\u0434\u0443 \u043a\u0430\u043b\u044c\u0446\u0456\u044e).<br \/>\n<strong>\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong>\u00a0 \u0442\u0435\u043b\u0435\u043e\u0431\u2019\u0454\u043a\u0442\u0438\u0432, \u043f\u043e\u0432\u043d\u043e\u043a\u0430\u0434\u0440\u043e\u0432\u0438\u0439 \u0444\u043e\u0440\u043c\u0430\u0442 35-\u043c\u043c, \u0444\u043b\u044e\u043e\u0440\u0438\u0442, \u043e\u0440\u0442\u043e\u0441\u043a\u043e\u043f\u0456\u0447\u043d\u0438\u0439, \u0433\u043b\u043e\u0431\u0430\u043b\u044c\u043d\u0430 \u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0430\u0446\u0456\u044f, \u0430\u0431\u0435\u0440\u0430\u0446\u0456\u044f, \u044f\u043a\u0456\u0441\u0442\u044c \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f.<\/p>\n<p style=\"text-align: center;\"><strong>\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u00a0\u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n<p>In this work, the possibilities of creating multi-lens optical systems of telephoto lenses with a fixed focal length and high image quality with the help of a computer have been experimentally investigated. The effectiveness of the automated procedure for creating new optical systems of orthoscopic telephoto lenses was repeatedly examined. The design procedure utilizes a modified version of the modern stochastic global optimization algorithm. In particular, we carried out the aberration synthesis of several optical systems of 16-lens orthoscopic telephoto lenses having the effective focal length of 300 mm and a F-number equal to 2.8, and designed to work in the visible spectral range with 35-mm full-frame image matrix detectors. Multiple computer simulations of the design process have shown that the global optimization procedure with a total number of variables of around 90 requires significant computing power. Specifically, when running on the Intel Core i9-9900K processor in multi-threaded mode and optimizing the values of the modulation transfer functions, the design procedure can exceed 50 hours. The maximum value of the relative distortion of synthesized variants of telephoto lenses does not exceed 0.017%.\u00a0 In all considered cases, the values of polychromatic modulation transfer functions for a spatial frequency of 30 lines\/mm are not smaller than 0.5 over the entire image field. The design results obtained for the specified telephoto lenses confirm the effectiveness of the proposed approach and the practical possibility of achieving high-quality correction of aberrations in the above-mentioned multi-lens telephoto systems even without the use of fluorite (calcium fluoride).<br \/>\n<strong>Keywords<\/strong>: telephoto lens, full-frame 35-mm format, fluorite, orthoscopic, global optimization, aberration, image quality.<\/p>\n<p style=\"text-align: center;\"><strong>\u041b\u0456\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430<\/strong><\/p>\n<ol>\n<li>Laikin M. Lens Design (Optical Science and Engineering). 4th Edition. CRC Press. 2006. 512 p.<\/li>\n<li>Velzel C., William T. Rhodes A Course in Lens Design. Georgia Institute of Technology. 2014. 177 p.<\/li>\n<li>Kingslake R., Johnson R. B. Lens Design Fundamentals. Second Edition. Elsevier Inc. 2010. 549 p.<\/li>\n<li>Malacara D., Malacara Z. Handbook of Lens Design. Taylor &amp; Francis, 1994. 672 p.<\/li>\n<li>Gross H., Zugge H., Peschka M., Blechinger F. Handbook of Optical Systems: Vol. 3. Aberration Theory and Correction of Optical Systems. Edited by Herbert Gross. WILEY-VCH Verlag GmbH &amp; Co. KGaA, Weinheim. 780 p.<\/li>\n<li>Canon EF 300mm F2,84 IS II USM Lens. com. 2022. URL: http:\/\/www.eflens.com\/ef-lenses\/ef_300_f_2_8l_is_ii_usm.html.<\/li>\n<li>Sony 300mm F2.8 G SSM II Lens. 2022. URL: https:\/\/digitalphotographylive.com\/sony-300mm-f2-8-g-ssm-ii-sal300f28g2-lens\/.<\/li>\n<li>Bentley J., Craig Olson C. Field Guide to Lens Design. SPIE Field Guides. Volume FG27. SPIE. 2012. 141 p.<\/li>\n<li>Price K., Storn R., Lampinen J. Differential Evolution: A Practical Approach to Global Optimization.<\/li>\n<li>Springer Science &amp; Business Media,\u00a02006. 539 p.<\/li>\n<li>10 Xin-She Yang. Optimization Techniques and Applications with Examples. John Wiley &amp; Sons, Inc. 2018. 384\u00a0p.<\/li>\n<li>Slowik A. Swarm Intelligence Algorithms: Modifications and Applications. CRC Press. 2020. 378 p.<\/li>\n<li>Choi T. J., Ahn C. W. An adaptive Cauchy differential evolution algorithm for global numerical optimization\/ The Scientific World Journal. 2013. Vol. 2013. Article ID 969734, 12 pages.<\/li>\n<li>Choi T. J., Ahn C. W. An adaptive Cauchy differential evolution algorithm with bias strategy adaptation mechanism for global numerical optimization\/ Journal of Computers. 2014. Vol. 9, part p. 2139-2145.<\/li>\n<li>\u0421\u043e\u043a\u0443\u0440\u0435\u043d\u043a\u043e \u0412. \u041c., \u0411\u0443\u0439\u043b\u043e\u0432 \u0406. \u0421. \u0417\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0430\u0434\u0430\u043f\u0442\u0438\u0432\u043d\u043e\u0433\u043e \u043c\u0435\u0442\u043e\u0434\u0443 \u0434\u0438\u0444\u0435\u0440\u0435\u043d\u0446\u0456\u0439\u043d\u043e\u0457 \u0435\u0432\u043e\u043b\u044e\u0446\u0456\u0457 \u041a\u043e\u0448\u0456 \u0434\u043b\u044f \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043a\u0443 \u043e\u0431\u2019\u0454\u043a\u0442\u0438\u0432\u0456\u0432. \u0412\u0456\u0441\u043d\u0438\u043a \u041d\u0422\u0423\u0423 &#8220;\u041a\u041f\u0406&#8221;. \u0421\u0435\u0440\u0456\u044f \u043f\u0440\u0438\u043b\u0430\u0434\u043e\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f. 2016. \u2116 51(1). \u0421.\u00a041-47.<\/li>\n<li>\u0421\u043e\u043a\u0443\u0440\u0435\u043d\u043a\u043e \u0412. \u041c., \u041c\u0430\u043a\u0430\u0440\u0435\u043d\u043a\u043e \u042f. \u0406. \u0420\u043e\u0437\u0440\u043e\u0431\u043a\u0430 \u043e\u043f\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043c\u0435\u0442\u043e\u0434\u0430\u043c\u0438 \u0433\u043b\u043e\u0431\u0430\u043b\u044c\u043d\u043e\u0457 \u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0430\u0446\u0456\u0457. \u0412\u0456\u0441\u043d\u0438\u043a \u041d\u0422\u0423\u0423 &#8220;\u041a\u041f\u0406&#8221;. \u0421\u0435\u0440\u0456\u044f \u043f\u0440\u0438\u043b\u0430\u0434\u043e\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f. 2015. \u2116 50(2). \u0421.\u00a051-60.<\/li>\n<li>\u0421\u043e\u043a\u0443\u0440\u0435\u043d\u043a\u043e \u0412. \u041c., \u0421\u043c\u0430\u0436\u043a\u043e \u0406. \u041e. \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043e\u043a \u043e\u043f\u0442\u0438\u0447\u043d\u043e\u0457 \u0441\u0438\u0441\u0442\u0435\u043c\u0438 SWIR-\u043e\u0431\u2019\u0454\u043a\u0442\u0438\u0432\u0430<strong>.<\/strong> \u0412\u0456\u0441\u043d\u0438\u043a \u0425\u043c\u0435\u043b\u044c\u043d\u0438\u0446\u044c\u043a\u043e\u0433\u043e \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443: \u0422\u0435\u0445\u043d\u0456\u0447\u043d\u0456 \u043d\u0430\u0443\u043a\u0438. \u0425\u043c\u0435\u043b\u044c\u043d\u0438\u0446\u044c\u043a\u0438\u0439, 2019. \u2116 6 (279). \u0421.\u00a0202\u2011205.<\/li>\n<li>\u0421\u043e\u043a\u0443\u0440\u0435\u043d\u043a\u043e \u0412. \u041c., \u0411\u043e\u043d\u0434\u0430\u0440\u0447\u0443\u043a \u0414. \u041f. \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0441\u0438\u043d\u0442\u0435\u0437 \u0444\u043e\u0442\u043e\u043e\u0431\u2019\u0454\u043a\u0442\u0438\u0432\u0430 \u0437\u0456\u00a0\u0437\u043c\u0435\u043d\u0448\u0435\u043d\u043e\u044e\u00a0\u0434\u0438\u0441\u0442\u043e\u0440\u0441\u0456\u0454\u044e. \u0412\u0456\u0441\u043d\u0438\u043a \u041d\u0422\u0423\u0423 &#8220;\u041a\u041f\u0406&#8221;. \u0421\u0435\u0440\u0456\u044f \u043f\u0440\u0438\u043b\u0430\u0434\u043e\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f. 2018. \u2116 56(2). \u0421.\u00a018-24.<\/li>\n<li>\u0421\u043e\u043a\u0443\u0440\u0435\u043d\u043a\u043e \u0412. \u041c., \u0421\u043e\u043a\u0443\u0440\u0435\u043d\u043a\u043e \u041e. \u041c. \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043e\u043a \u043e\u043f\u0442\u0438\u0447\u043d\u043e\u0457 \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u043f\u0430\u043d\u043a\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u043f\u0440\u0438\u0446\u0456\u043b\u0443<strong>.<\/strong> \u0412\u0456\u0441\u043d\u0438\u043a \u041a\u0438\u0457\u0432\u0441\u044c\u043a\u043e\u0433\u043e \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u0447\u043d\u043e\u0433\u043e \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442\u0443. \u0421\u0435\u0440\u0456\u044f \u041f\u0440\u0438\u043b\u0430\u0434\u043e\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f. 2022. \u2116 63(1). \u0421. 25-33.<\/li>\n<\/ol>\n<p style=\"text-align: center;\"><strong>References<\/strong><\/p>\n<ol>\n<li>Laikin M. Lens Design (Optical Science and Engineering). 4th Edition. CRC Press. 2006. 512 p.<\/li>\n<li>Velzel C., William T. Rhodes A Course in Lens Design. Georgia Institute of Technology. 2014. 177 p.<\/li>\n<li>Kingslake R., Johnson R. B. Lens Design Fundamentals. Second Edition. Elsevier Inc. 2010. 549 p.<\/li>\n<li>Malacara D., Malacara Z. Handbook of Lens Design. Taylor &amp; Francis, 1994. 672 p.<\/li>\n<li>Gross H., Zugge H., Peschka M., Blechinger F. Handbook of Optical Systems: Vol. 3. Aberration Theory and Correction of Optical Systems. Edited by Herbert Gross. WILEY-VCH Verlag GmbH &amp; Co. KGaA, Weinheim. 780 p.<\/li>\n<li>Canon EF 300mm F2,84 IS II USM Lens. com. 2022. URL: http:\/\/www.eflens.com\/ef-lenses\/ef_300_f_2_8l_is_ii_usm.html.<\/li>\n<li>Sony 300mm F2.8 G SSM II Lens. 2022. URL: https:\/\/digitalphotographylive.com\/sony-300mm-f2-8-g-ssm-ii-sal300f28g2-lens\/.<\/li>\n<li>Bentley J., Craig Olson C. Field Guide to Lens Design. SPIE Field Guides. Volume FG27. SPIE. 2012. 141 p.<\/li>\n<li>Price K., Storn R., Lampinen J. Differential Evolution: A Practical Approach to Global Optimization.<\/li>\n<li>Springer Science &amp; Business Media,\u00a02006. 539 p.<\/li>\n<li>10 Xin-She Yang. Optimization Techniques and Applications with Examples. John Wiley &amp; Sons, Inc. 2018. 384\u00a0p.<\/li>\n<li>Slowik A. Swarm Intelligence Algorithms: Modifications and Applications. CRC Press. 2020. 378 p.<\/li>\n<li>Choi T. J., Ahn C. W. An adaptive Cauchy differential evolution algorithm for global numerical optimization\/ The Scientific World Journal. 2013. Vol. 2013. Article ID 969734, 12 pages.<\/li>\n<li>Choi T. J., Ahn C. W. An adaptive Cauchy differential evolution algorithm with bias strategy adaptation mechanism for global numerical optimization\/ Journal of Computers. 2014. Vol. 9, part p. 2139-2145.<\/li>\n<li>Sokurenko V. M., Builov I. S. Zastosuvannia adaptyvnoho metodu dyferentsiinoi evoliutsii Koshi dlia rozrakhunku obiektyviv. Visnyk NTUU &#8220;KPI&#8221;. Seriia pryladobuduvannia. 2016. \u2116 51(1). S. 41-47.<\/li>\n<li>Sokurenko V. M., Makarenko Ya. I. Rozrobka optychnykh system metodamy hlobalnoi optymizatsii. Visnyk NTUU &#8220;KPI&#8221;. Seriia pryladobuduvannia. 2015. \u2116 50(2). S. 51-60.<\/li>\n<li>Sokurenko V. M., Smazhko I. O. Avtomatyzovanyi rozrakhunok optychnoi systemy SWIR-obiektyva. Visnyk Khmelnytskoho natsionalnoho universytetu: Tekhnichni nauky. Khmelnytskyi, 2019. \u2116 6 (279). S. 202 205.<\/li>\n<li>Sokurenko V. M., Bondarchuk D. P. Avtomatyzovanyi parametrychnyi syntez fotoobiektyva zi zmenshenoiu dystorsiieiu. Visnyk NTUU &#8220;KPI&#8221;. Seriia pryladobuduvannia. 2018. \u2116 56(2). S. 18-24.<\/li>\n<li>Sokurenko V. M., Sokurenko O. M. Avtomatyzovanyi rozrakhunok optychnoi systemy pankratychnoho prytsilu. Visnyk Kyivskoho politekhnichnoho instytutu. Seriia Pryladobuduvannia. 2022. \u2116 63(1). S. 25-33.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[1,74],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/15404"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=15404"}],"version-history":[{"count":4,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/15404\/revisions"}],"predecessor-version":[{"id":15994,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/15404\/revisions\/15994"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=15404"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=15404"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=15404"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}