MATLAB Examples

# Simple Airy Pattern

## Generate the mesh data

Using Bessel function of the first kind

```clear all; clc X=[];Y=[]; x = -15:0.2:15; %Size of the image and step-size I0 = 10; %Peak amplitude of the disk %Obtain intensities using Bessel function of the first kind I = I0*(2*besselj(1,x)./(x)).^2; %Create matrix of surface intensities for theta = 0:10:180; %Rotation interval is 10 degrees X(:,end+1) = x'*cosd(theta); Y(:,end+1) = x'*sind(theta); end % 19 intervals obtained using relation{(180-0)/10} + 1 = 19 II = repmat(I',[1,19]); ```

## Surface plot of the Airy pattern

With optional axes properties

```figure1 = figure; colormap('gray'); % Create axes properties. Change according to need. axes1 = axes('Parent',figure1,... 'Color',[0 0.447058823529412 0.741176470588235],... 'CameraViewAngle',6.66396777998441,... 'CameraUpVector',[0 0 1],... 'CameraTarget',[-0.715079209947286 -1.22226354685104 4.20072651896962],... 'CameraPosition',[-134.843094325174 -176.021296053844 50.093080997041]); view(axes1,[-37.5 32]); grid(axes1,'on'); zlabel('Intensity'); hold(axes1,'all'); surf(X,Y,II,'Parent',axes1,'FaceColor',[1 1 1],... 'EdgeColor',[0.313725490196078 0.313725490196078 0.313725490196078]); ```