摘要
利用离散化的思想,将线光源离散为点光源,将反射抛物面离散为抛物面上一条螺旋形曲线上一系列的点,成功地解决了距离25m远处测试屏上直射光线和反射光线形成的面积问题,并实现了基于Matlab的仿真.仿真结果与理论吻合.通过具体事例,揭示了在数学建模过程中离散化思想的运用以及利用Matlab实现与仿真的优势.
Discretization is used to discretize line source to point source; and reflecting concave to a series of points on a volute curve so as to solve the surface area problem formed with a combination of the straight light and the reflected light on the measuring screen 25 meters away. Meanwhile the simulation based on Matlab is also achieved. The result of the simulation accords with the theoretical result. This example deals with the application of the discrefization thoughts in mathematical modeling and the advantage of Matlab implementation and its simulation.
出处
《吉首大学学报（自然科学版）》
CAS
2005年第2期101-103,106,共4页
Journal of Jishou University(Natural Sciences Edition)
基金
湖南省教育厅青年资助项目(04B004)
关键词
数学建模
离散化
仿真
mathematical modeling
discretization
simulation
