车灯线光源的计算

本文给出了“2002年全国大学生数学建模竞赛”中关于“车灯线光源”一题的解决方案。首先,通过同一球面上两球冠面积之比,解决了车灯中直射光与反射光的能量之比问题;其次,通过建立锥面方程,求出了线光源上任意一点发出的直射光在测试屏上的亮区,进而解决了整个线光源在测试屏上的直射光的亮区问题;最后,求出了线光源上任意一点发出的光线经过旋转抛物面上截线圆反射后,在测试屏上留下的反射光的亮区,然后使用数学软件绘出了整个线光源在测试屏上反射光的亮区。

Calculation of The Line Light Source of The Car Light

This text provides about the solution of a question of " line light source of the car light " in " 2002 national university student's mathematics modeling contest ". First of all, through being the same two ball last area sphere than,it solves that car light is under the Central more Committee to shoot out and reflect by all energy proportion problem; Secondly, through set up conical surface equation, is it qualify for the next round of competitions light source wanton send out a bit shoot out testing and rejecting the bright district on direct to ask, and then has solved the light source of whole line to test and rejecting the bright district problem shot out directly on; Finally , asked and qualified for the next round of competitions a bit more wantonly light that emits on the light source after cutting the line round to reflect on rotating the parabola , reflection mere bright district that leave, use mathematics software draw whole line light source in is it reflect all bright district on rejecting to test on not is it reject to testing.