Method of calculating a new model of the tree-components zoom system
https://doi.org/10.29235/1561-8323-2019-63-1-104-111
Abstract
The method of calculating a new structural model of a lens with a variable focal length is presented. The main composition is represented by three components, two of which are movable. The schemes of the lens with mechanical and optical compensation of an image are examined. It was found that the composition with a movable first component provides small sizes. On the basis of the proposed formula the parameters of the composition with a movable first component providing a small size and given the design parameters of a zoom lens of three components and the discrete-type lens with ten-fold magnification. Mathematical models prove that there are two and four potential solutions to the infinite and finite conjugate systems, respectively, and all roots can be obtained by simple algebraic calculations.
About the Authors
A. P. ShkadarevichBelarus
Shkadarevich Alexey Petrovich - Academician, D. Sc. (Physics and Mathematics), Professor, Director.
23, Makaenok Str., 220012, Minsk
N. K. Artsiukhina
Belarus
Artsiukhina Nina Konstantinovna - D. Sc. (Engineering), Professor.
22, Ya. Kolas Str., 220013, Minsk
A. S. Hasan
Syrian Arab Republic
Almahmoud Shoaeb Hasan.
Homs
References
1. Zverev V. A Optics of weapons and military equipment. Trudy Ob’edinennogo nauchnogo soveta po gumanitarnym problemam i istoriko-kul ’turnomu naslediyu [Collective Works of the Joint Scientific Council on Humanitarian Problems and Historical and Cultural Heritage], 2011, vol. 2010, pp. 105-113 (in Russian).
2. Pakhomov I. I. Varifocal systems. Moscow, 1976. 160 р. (in Russian).
3. Zapryagaeva L. A., Sveshnikova I. S. Calculation and design of optical systems. Moscow, 2000. 584 р. (in Russian).
4. Clerk A. D. Zoom lenses. London, 1973. 88 р.
5. Rusinov M. M. Composition of optical systems. Leningrad, 1989. 383 р. (in Russian).
6. Shkadarevich A. P., Artioukhina N. K. Classification bases of the structural synthesis of optical systems. Doklady Nat-sional ’noi akademii nauk Belarusi = Doklady of the National Academy of Sciences ofBelarus, 2015, vol. 59, no. 6, pp. 52-56 (in Russian).
7. Artyukhina N. K. Theory and calculation of optical systems. Minsk, 2004 (in Russian).
8. Herzberger M. Gaussian Optics and Gaussian brackets. Journal of the Optical Society of America, 1943, vol. 33, no. 12, pp. 651-655. https://doi.org/10.1364/josa.33.000651
9. Miks A., Novak J., Novak P. Method of zoom lens design. Applied Optics, 2008, vol. 47, no. 32, pp. 6088. https://doi.org/10.1364/ao.47.006088
10. Kirichenko E. V. The principle of OS construction from infinitely thin components. Optical and mechanical industry, 1978, no. 9, pp. 17-23 (in Russian).