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平行光在圆柱状器皿中形成心形线图案的分析
Analysis of the heart-shaped pattern in cylindrical vessel formed by parallel light
【摘要】 平行光斜入射圆柱状器皿后,其反射光线在器皿底面形成与心形线非常相似的图形。通过观察平行光在圆柱状器皿内壁的反射情况,利用数学物理方法对该过程建立模型,得到心形线的解析表达式;并分析了光线不同入射角度、器皿不同高度对心形线形状的影响规律。使用MATLAB和3ds Max软件进行计算机模拟,得到底面亮度分布模拟图,验证了所建心形线模型的正确性。
【Abstract】 Parallel light which irradiates obliquely into cylindrical vessel forms a heart-shaped pattern on the bottom after being reflected from the wall.In this study,mathematical model is set up to analyze the cause for this phenomenon,and an analytic expression of the heart-shaped pattern is obtained by derivation.The brightness distribution of the bottom and the verification of the expression are figured out by computer simulation using MATLAB and 3ds Max software.
【关键词】 心形线;
反射定律;
隐函数求导;
计算机模拟;
【Key words】 Heart-shaped pattern; law of reflection; derivation differentiation of implicit functions; computational simulation;
【Key words】 Heart-shaped pattern; law of reflection; derivation differentiation of implicit functions; computational simulation;
【基金】 浙江大学第13期校级大学生科研训练计划(SRTP)资助项目(5371)
- 【文献出处】 苏州科技学院学报(自然科学版) ,Journal of Suzhou University of Science and Technology(Natural Science Edition) , 编辑部邮箱 ,2013年02期
- 【分类号】TP391.41
- 【下载频次】69