Computational Nonimaging Geometric Optics: Monge-Ampère

Computational Nonimaging Geometric Optics: Monge-Ampère
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计算非成像几何光学:Monge-Ampère

DOI:
10.1090/noti2220
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发表时间:
2021
影响因子:
--
通讯作者:
Awanou, Gerard
Awanou, Gerard
中科院分区:
--
文献类型:
--
作者:
Awanou, Gerard

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计算非成像几何光学的目标是有效地设计光学透镜和反射镜,以便精确地控制光。在美国,光废物相当于7290万mwh的不必要的电力,每年的成本为69亿美元[10],而在这个过程中产生的二氧化碳相当于950万辆汽车在路上行驶。光污染还对野生动物和人类的健康产生不利影响。其他需要精确控制光线的例子包括投影显示器、激光武器、聚光太阳能和医疗照明器。自由形式的照明设计,即没有先验对称性假设,通常会导致数值求解非线性二阶
The goal of computational nonimaging geometric optics is the efficient design of optical lenses and mirrors for the accurate control of light. Light waste in the United States is equivalent to 72.9 million mwh of unnecessary electricity generated at a cost of $6.9 billion a year [10] and the amount of CO2 generated in that process is equivalent to 9.5 million cars on the roads. Light pollution also has adverse health impacts on wildlife and humans. Other examples where an accurate control of light is required include projection displays, laser weapons, concentrated solar energy, and medical illuminators. Freeform illumination design, ie, with no a priori symmetry assumption, often leads to numerically solving a nonlinear second order
Monge-Ampère 算子的单调且一致的离散化
DOI: 10.1090/mcom/3080
发表时间: 2014
期刊: Math. Comput.
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有限差分格式对Monge-Ampère方程Aleksandrov解的收敛性
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