基于matlab光栅衍射的仿真研究
摘 要:本论文主要是进行光栅衍射的仿真研究,观察、分析它与真实实验异同。首先会进行光栅衍射的真实实验,通过理论计算出实验中所用光栅的光栅常数,并尝试利用光栅方程计算出紫光的波长和观察同一色系光谱的色散现象。然后通过用matlab软件编写光栅衍射的与实验相对应的程序代码,对光栅衍射实验进行模拟仿真。最后将模拟数据与真实实验进行对比分析,得出对于实验可用的光栅,不管缝的宽度和尺寸怎样变化,波总是稳定不变的,并且发现matlab软件具有很强的优越性。
关键词:光栅;分光计;仿真研究;衍射图像;光栅常数
Matlab Simulation Research Based on Grating Diffraction
Abstrac:This paper mainly research on the simulation of grating diffraction. So we can observe and analyse the similarities and the differences between the simulation experiment and the real experiment. First I will do the real experiment of grating diffraction. Through the theoretical calculation, I draw the grating constant of the experiment and I try to calculate the violet light wavelength by the grating equation and observe the same color chromatic dispersion. Then I use matlab software to write the procedure code of the diffraction grating, to simulate the grating diffraction experiment. At last, I will compare the simulated data and the real experiment . For the grating used in the experiment, I draw that no matter how to change the seam width and size, the wave is always the same. I also find that the matlab software has very strong superiority.
Key Words:Grating; Spectrometer; Simulation; Diffraraction image; Grating constant
引言
光栅可应用于数码科技和传统印刷技术,利用光栅衍射,可以在特定的胶片上产生各种特殊效果,在平面上,展现出栩栩如生的三文立体形象。衍射光栅数目极多,平行排列且宽度、间距都相等的狭缝组成用于可见光区的光栅每毫米缝数可达几百到上千条。matlab是一种实用数学软件,利用它可以进行图像、信号处理,通过编写一些特定的程序对计算机发出指令,可以对光栅衍射进行仿真,显示出清晰的光谱。基于matlab软件对光栅衍射进行仿真并与实验进行对比,可以为光栅技术的研究提供实验数据。3337