引用本文:陈学文, 罗源源, 张家伟, 姚雪.光的衍射的理论分析及Mathematica仿真模拟[J].西南师范大学学报(自然科学版),2018,43(11):156~161
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光的衍射的理论分析及Mathematica仿真模拟
陈学文, 罗源源, 张家伟, 姚雪
重庆科技学院 数理学院, 重庆 401331
摘要:
首先利用旋转矢量从理论上推出了光的多缝干涉的光强分布公式,并将狭缝数N→∞,从而得到光的单缝衍射光强分布,进而在多缝干涉和单缝衍射的基础上得到了光栅衍射光强分布.此外,将Mathematica仿真模拟应用到光的衍射课堂教学中.基于Mathematica软件的交互功能,利用Mathematica的Manipulate命令对单缝夫琅禾费衍射和光栅衍射做了仿真模拟,获得了相应的可以调节各参数(如波长、狭缝宽度、光栅常数等)的动态图形.这对学生建立清晰的物理图像,更好地理解光的衍射的物理规律有很好的促进作用.
关键词:  光的衍射  旋转矢量  Mathematica  虚拟仿真
DOI:10.13718/j.cnki.xsxb.2018.11.025
分类号:G642.0
基金项目:重庆市教育委员会2105年度高等教育教学改革研究立项项目(153151);重庆市科委基金(cstc2016jcyjA0336);重庆科技学院重点项目培育基金(CK2015128).
On Theoretical Analysis of Light Diffraction and Its Mathematica Simulation
CHEN Xue-wen, LUO Yuan-yuan, ZHANG Jia-wei, YAO Xue
Department of Math and Physics, Chongqing University of Science and Technology, Chongqing 401331, China
Abstract:
The intensity distribution of multi slit interference of light has been deduced by rotational vector first, and the intensity distribution of single slit diffraction has been obtained in the condition of the slit number. Then, the intensity distribution of grating diffraction has been obtained on the basis of multi slit interference and single slit diffraction. In addition, the Mathematica simulation has been applied to the class of light diffraction. The Fraunhofer single slit diffraction and diffraction grating have been simulated through the interactive function of Mathematica, and the corresponding dynamic graphics, whose parameters can be adjusted (such as wavelength, slit width, grating constant, diffraction angle) are acquired. This can help the students to establish a clear physical picture in the classroom, to understand the principle of diffraction of light better.
Key words:  diffraction of light  rotational vector  Mathematica  simulation
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