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智能优化算法 神经网络预测 雷达通信 无线传感器
信号处理 图像处理 路径规划 元胞自动机 无人机
⛄ 内容介绍
开放式虚拟仿真实验教学是当前教育信息化的一种有效体现.学生可以通过虚拟仿真在网络平台实现在线操作,开展实验测试,记录数据,完成测试题等,虽然无法接触到实验设备,但是同样可以完成实验操作,实现实验类课程的网络学习模式.建设大学物理实验虚拟仿真网络平台,需要配套大量的物理实验课程资源,其中基于MATLAB的实验仿真设计与分析是大学物理实验资源库建设的重要方面.本文为基于MATLAB的光栅衍射实验仿真设计与分析,通过MATLAB软件仿真光栅衍射实验不仅能够加深学生对光栅衍射原理的理解,在提升教学质量的同时,也能够进一步完善大学物理虚拟仿真网络平台资源库建设,真正实现大学物理实验的虚拟仿真网络教学和线下教学的有机融合.
⛄ 部分代码
% Diffraction grating with monochromatic incident beam, with a single selected
% order shown. Cross section of the geometry of a diffraction grating, a common
% illustration in textbooks of optics, spectroscopy, and analytical chemistry.
% The grating surface is at the bottom of the diagram, along the x axis.
% The line labeled "Incident beam" is the direction of the incoming light
% beam. The dotted line is the diffracted (outgoing) beam. The line
% labeled "Order 0" is the direction of the zeroth-order diffraction,
% at the angle of specular reflection from the grating surface.
% The upper left slider controls the angle of incidence, the lower
% left slider controls the grating ruling density (lines/mm),
% the upper right slider controls the order, and the lower right
% slider controls the wavelength of the incident beam.
% incident beam.
% Calls GratingOrder1, GratingOrder2, GratingOrder3, and GratingOrder4 as
% functions when sliders are adjusted.
% Tom O'Haver, toh@umd.edu, July 2006
% Slider function by Matthew Jones.
global alphar
global angle0
global d
global lambda
global m
% User-modifiable parameters:
lambda = 500; % Initial wavelength
alphar = 1; % Initial value of angle of incidence
R=45; % Initial value of Grating Ruling density, lines/mm,
d=1000000/R; % Initial value of Groove spacing, in mn
m=80; % Initial value of Diffraction Order
close
figure(1);
clf
h=figure(1);
r=pi/2; % Constant used below
% Compute the angle of the zero-order beam and the X and Y coordinates for
% the endoint of the incident and zero-order beams.
xi=-cos(r-alphar);yi=sin(r-alphar); % Incident beam
angle0 = asin(-sin(alphar));x0=-cos(r-angle0);y0=sin(r-angle0); % Zero order
% Compute the angle of the diffracted beam and the X and Y coordinates for
% its endpoint if the angle is on scale (90 degrees or less)
angle1 = asin(m*lambda/d-sin(alphar));if imag(angle1)==0;x1=-cos(r-angle1);y1=sin(r-angle1);else x1=0;y1=0;end;
% Draw line from 0,0 to the endpoint
plot([0 xi],[0 yi],'k',[0 x0],[0 y0],'k--',[0 x1],[0 y1],'k:')
% Compute and display the angular dispersion
AngularDispersison=asin(m*(lambda+1)/d-sin(alphar))-asin(m*lambda/d-sin(alphar));
text(-.4,1.4,['Angular Dispersion = ' num2str(AngularDispersison*360/(2*pi)) ' degrees/nm']);
% Add labels and title
text(xi,yi,'Incident beam');
if imag(angle0)==0;text(x0/2,y0/2,'Order 0');end;
if imag(angle1)==0;text(x1,y1,['Order ' num2str(m)]);end;
% Note: when the wavelength is adjusted, the order label is replaced with
% the wavelength.
title('Diffraction grating with monochromatic incident beam, single selected order shown.');
xlabel(['Angle = ' num2str(round(alphar*360/(2*pi))) ' degrees. Wavelength = ' num2str(round(lambda)) ' nm. Lines/mm = ' num2str(round(1000000/d)) ' Order = ' num2str(m)])
h2=gca;axis([-1 1 0 1.5]);
% Draw the sliders
rtslid(h,@GratingOrder1,h2,1,'Scale',[0 pi/2],'Def',alphar,'Back',[0.9 0.9 0.9],'Label','Angle','Position',[0.03 0.5 0.03 0.35]);
rtslid(h,@GratingOrder2,h2,0,'Scale',[0 1000],'Def',lambda,'Back',[0.9 0.9 0.9],'Label','Wavelength','Position',[0.95 0.05 0.03 0.35]);
rtslid(h,@GratingOrder3,h2,0,'Scale',[0 600],'Def',R,'Back',[0.9 0.9 0.9],'Label','Lines/mm','Position',[0.03 0.05 0.03 0.35]);
rtslid(h,@GratingOrder4,h2,0,'Scale',[0 150],'Def',m,'Back',[0.9 0.9 0.9],'Label','Order','Position',[0.95 0.5 0.03 0.35]);
⛄ 运行结果
⛄ 参考文献
[1]史建新等. "基于MATLAB的光栅衍射实验仿真设计与分析." (2021).
[2]李松柏, 吴加贵, 卢孟春,等. 基于MATLAB的光栅衍射实验仿真与研究[J]. 西南民族大学学报:自然科学版, 2010(5):8.