How can I illustrate a sinusoidal plane wave in MATLAB?

Wikipedia's article Sinusoidal plane wave - Wikipedia shows the below image:

I am able to plot the red sine wave and the the blue lines (without the arrows) but I am unable to plot the planar vector fields.

How can I replicate the above image in a MATLAB figure?

Answer 1

[Aravind Varma Dantuluri]

Thanks to Hassaan answer, I got to know about quiver function and used the below code to get the required image

mArrow3([0 0 0],[10 0 0],'color','red','stemWidth',0.05);
mArrow3([0 0 0],[0 10 0],'color','red','stemWidth',0.05);
mArrow3([0 0 0],[0 0 10],'color','red','stemWidth',0.05);
view(32, 32);

x = 0:0.1:10;
sine_wave = 5*sin(x);

hold on;plot3(x,zeros(length(x),1),sine_wave,'b');

vector_3d_x = 0:1:10;
vector_3d_y = 0:1:10;
vector_3d_z = 0:1:10;

[X,Y,Z] = meshgrid(vector_3d_x,vector_3d_y,vector_3d_z);
U = zeros(size(X));
V = zeros(size(Y));
W = sin(X);

hold on;quiver3(X, Y, Z, U, V, W, 'k');

Answer 2

[Hassaan]

% Define the domain
x = linspace(-2*pi, 2*pi, 100);
z = linspace(-2, 2, 20);
[X, Z] = meshgrid(x, z);

% Define the wave
y = sin(X);

% Create a new figure
figure;

% Plot the sinusoidal wave
surf(X, y, Z, 'FaceColor', 'red', 'EdgeColor', 'none');
alpha 0.5;  % Making the surface semi-transparent
hold on;

% Plot the lines (without arrows)
for i = 1:size(Z, 1)
    plot3(X(i, :), y(i, :), Z(i, :), 'b');
end

% Now let's add the planar vector fields using quiver3
[U, V, W] = deal(zeros(size(X))); % Preallocate U, V, W for quiver3
V = ones(size(X)); % Vectors point in the positive y-direction

% Create a grid in the y-direction for the vectors
Y = -2:0.5:2;

% Plot the vectors on each plane
for i = 1:length(Y)
    quiver3(X, Y(i)*ones(size(X)), Z, U, V, W, 'k', 'MaxHeadSize', 0.005);
end

% Set the view angle
view(30, 45);

% Labels and title
xlabel('X-axis');
ylabel('Y-axis');
zlabel('Z-axis');
title('Sinusoidal Plane Wave with Planar Vector Fields');

% Remove the ticks
set(gca, 'XTick', [], 'YTick', [], 'ZTick', []);

% Remove the box around the plot
box off;

% Keep the axis aspect ratio normal
axis normal;

hold off;

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[Aravind Varma Dantuluri]

Thank you for the answer

But the vector field does not vary with the amplitude of sine wave as it is being done in the image in question?