第五十四章 国奖开赛(2 / 2)

以下均以毫米为单位,由所给信息不难求出车灯反射面方程为,焦点坐标为(0,0,15)。位于点P(0,w,15)的单位能量的点光源反射到点C(0,2600,25015)的能量

设反射点的坐标为Q.记入射向量为,该点反射面外法线方向为,不难得到反射向量,满足K为常量。

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其中e为起亮值,l为最大值点,为考察的最大范围,例如取为20mm。也有类似的性质,且起亮值和最大值点均相应地右移.数值求解

记其解为,再求出,不难看出e落在l之中。

这就证明了e的确是最小值。最后计算得出e=3.294

下来就是求放射光亮区的问题了。分别将线光源和车灯反射面离散化为点光源和面元的集合,计算每一点光源关于每一车灯反射面元的反射光线,判断其是否与车灯反射面相交,若相交,一次反射光不能到达测试屏,否则求出该反射光线与反射屏平面的交点,即为反射亮点。

所有这些亮点的集合即为反射光亮区。亮区的上半部分由下图所示(横坐标为x轴,纵坐标为y轴,单位为mm),下半部分与上半部分是关于x轴对称的.

计算的另一方法是建立问题的数值模型用数值模拟的方法加以解决.具体的做法是:在得到反射光线和反射到测试屏上能量的数学模型后,分别将线光源和车灯反射面离散化为点光源和面元的集合,在测试屏B(或C)点附近取一微小面元.计算每一点光源关于每一车灯反射面元的反射光线,将所有能到达该面元的反射光线的反射能量迭加起来,除以面元的面积即为B(或C)点的反射能量密度.

假设线光源是透明的。如果假设线光源是不透明的,似乎更符合现实。此时需要考虑线光源本身对反射光线的遮挡,计算会更复杂些,计算结果也会有所不同。

演算到这里,题目其实已经是被吴哲解开了。

接下来,吴哲就只需要编程了,把刚刚的数学思维转换成计算机语言。

抬头看了下天,已经是吃饭时间了。许多人才刚刚摸到思路。

吴哲也不着急,他的进度明显要比别人快的多。看了下黄明海他们一眼。汪潮在那演算,沈知文和黄明海在后面看着,不时还提出几个问题。看来他们也是分好工了,第一天汪潮,第二天沈知文,最后的论文则是黄明海上。

看他们的样子是不想去吃饭了。吴哲是准备出去吃饭了,顺便帮他们带过来。

和老大黄明海打了个手势,吴哲也就步出了电脑房。

这刚出去,就听到有人喊自己。

“吴哲,这里。“团支书齐铭拎着盒子道。

“你们来西校区了?你们不是没参加国奖吗?”吴哲有点惊讶。

“喏,给你们送午饭来了,这可是我们全班决定的,虽然不能上场,但后勤工作我们是要做好的。”齐铭甩了下头发道。

“谢谢了,我正要出去吃呢?我就不客气了啊!”吴哲接过齐铭手上的袋子。

“嗯,最上面的是你的,下面才是汪潮他们的,你别忘了。”齐铭笑着说道。

“好,忘不了,你先回去吧!”吴哲对着齐铭扬了扬手中的袋子。

“行,那我走了,晚上你们也不用出去吃了,这三天我会给你们准时送来。”

说完齐铭就微笑着转身离开,现在吴哲他们争分夺秒的,能不耽误他们就不要耽误。

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