|
|
|
|
Список литературы
|
|
| |
| 1. |
L.L. Doskolovich, A.A. Mingazov, D.A. Bykov, E.S. Andreev, E.A. Bezus, “Variational approach to calculation of light field eikonal function for illuminating a prescribed region”, Optics Express, 25:22 (2017), 26378–26392 |
| 2. |
V. Soifer, V. Kotlyar, L. Doskolovich, Iterative methods for diffractive optical elements computation, Taylor & Francis Ltd., London, 1997, 245 pp. |
| 3. |
L.L. Doskolovich, A.Yu. Dmitriev, S.I. Kharitonov, “Analytic design of optical elements generating a line focus”, Optical Engineering, 52:9 (2013), 091707 |
| 4. |
R. Wu, P. Liu, Y. Zhang, Zh. Zheng, H. Li, X. Liu, “A mathematical model of the single freeform surface design for collimated beam shaping”, Optics Express, 21:18 (2013), 20974–20989 |
| 5. |
R. Wu, L. Xu, P. Liu, Y. Zhang, Zh. Zheng, H. Li, X. Liu, “Freeform illumination design: a nonlinear boundary problem for the elliptic Monge–Ampére equation”, Optics Letters, 38:2 (2013), 229–231 |
| 6. |
R. Wu, Y. Zhang, M.M. Sulman, Zh. Zheng, P. Benítez, J.C. Miñano, “Initial design with L2 Monge–Kantorovich theory for the Monge–Ampére equation method in freeform surface illumination design”, Optics Express, 22:13 (2014), 16161–16177 |
| 7. |
Y. Ma, H. Zhang, Z. Su, Y. He, L. Xu, X. Lui, H. Li, “Hybrid method of free-form lens design for arbitrary illumination target”, Applied Optics, 54:14 (2015), 4503–4508 |
| 8. |
C. Bösel, H. Gross, “Ray mapping approach for the efficient design of continuous freeform surfaces”, Optics Express, 24:13 (2016), 14271–14282 |
| 9. |
R. Wu, S. Chang, Zh. Zheng, L. Zhao, X. Liu, “Formulating the design of two freeform lens surfaces for point-like light sources”, Optics Letters, 43:7 (2018), 1619–1622 |
| 10. |
J. Munkres, “Algorithms for the assignment and transportation problems”, Journal of the Society for Industrial and Applied Mathematics, 5:1 (1957), 32–38 |
| 11. |
R. Jonker, A. Volgenant, “A shortest augmenting path algorithm for dense and sparse linear assignment problems”, Computing, 38:4 (1987), 325–340 |
| 12. |
D.P. Bertsekas, “The auction algorithm: A distributed relaxation method for the assignment problem”, Annals of Operations Research, 14:1 (1988), 105–123 |
| 13. |
Л.Л. Досколович, А.А. Мингазов, Д.А. Быков, Е.С. Андреев, “Вариационный подход к расчëту функции эйконала”, Компьютерная оптика, 42:4 (2018), 557–567 [L.L. Doskolovich, A.A. Mingazov, D.A. Bykov, E.S. Andreev, “Variational approach to eikonal function computation”, Computer Optics, 42:4 (2018), 557–567 (in Russian)] |
| 14. |
Ю.А. Кравцов, Ю.И. Орлов, Геометрическая оптика неоднородных сред, Наука, M., 1980, 304 с.; Yu.A. Kravtsov, Yu.I. Orlov, Geometrical optics of inhomogeneous media, Springer-Verlag, Berlin, 1990 |
| 15. |
L.C. Evans, “Partial differential equations and Monge–Kantorovich mass transfer”, Current developments in mathematics, ed. R. Bott, A. Jaffe, D. Jerison, G. Lusztig, I. Singer, Sh.-T. Yau, International Press of Boston, Inc., Boston, MA, 1998, 65–126 |
| 16. |
В.И. Богачëв, А.В. Колесников, “Задача Монжа–Канторовича: достижения, связи и перспективы”, Успехи математических наук, 67:5 (2012), 3–110  [V.I. Bogachev, A.V. Kolesnikov, “The Monge-Kantorovich problem: Achievements, connections, and perspectives”, Russian Mathematical Surveys, 67:5 (2012), 785–890] |
