gistlib - create a movie that shows the propagation of a electromagnetic wave with normal incidence at a plane conducting boundary in matlab

To create a movie that shows the propagation of an electromagnetic wave with normal incidence at a plane conducting boundary in MATLAB, you can follow these steps:

Define the parameters of the simulation, such as the speed of light, the frequency of the wave, the incident angle, and the conducting boundary.


main.m
% Parameters
c = 3e8; % Speed of light in m/s
f = 1e9; % Frequency of the wave in Hz
theta = 0; % Incident angle in degrees
sigma = 1e6; % Conductivity of the boundary in S/m
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Set up the simulation grid and initialize the electric field components.


main.m
% Grid size and spacing
Nx = 100; % Number of points in x-direction
Ny = 100; % Number of points in y-direction
dx = c / (2*f); % x-spacing to ensure stability
dy = dx; % y-spacing same as x-spacing

% Grid initialization
Ez = zeros(Nx, Ny); % Electric field component in z-direction
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Define the update equations for the electric field components.


main.m
% Update equations
for t = 1:num_time_steps
    for i = 2:Nx-1
        for j = 2:Ny-1
            Ez(i, j) = Ez(i, j) + (dt/(epsilon*dx))*(Hy(i, j) - Hy(i-1, j) - Hx(i, j) + Hx(i, j-1));
        end
    end
    
    % Apply boundary conditions (perfect electric conductor)
    Ez(:, 1) = 0; % Electric field at bottom boundary
    Ez(:, Ny) = 0; % Electric field at top boundary
    
    % Update magnetic field components
    Hx = Hx - (dt/(mu*dy))*(Ez(:, 2:Ny) - Ez(:, 1:Ny-1));
    Hy = Hy + (dt/(mu*dx))*(Ez(2:Nx, :) - Ez(1:Nx-1, :));
end
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Create a loop to iterate through time steps and update the simulation.


main.m
% Time simulation
for t = 1:num_time_steps
    % Update electric field components
    % ...
    
    % Apply boundary conditions
    % ...
    
    % Update magnetic field components
    % ...
    
    % Visualization code for each time step (create frame for movie)
    figure;
    imagesc(Ez');
    colorbar;
    title(sprintf('Propagation of Electromagnetic Wave (t = %.2f ns)', t*dt));
    xlabel('x (grid points)');
    ylabel('y (grid points)');
    
    % Add frame to movie
    % ...
end
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Compile the frames into a movie using the VideoWriter function.


main.m
% Create video writer object
video_path = 'wave_propagation.mp4'; % File path to save the movie
video = VideoWriter(video_path, 'MPEG-4');
video.FrameRate = 10; % Frames per second

% Open the video writer and write the frames
open(video);

% Loop through each frame and write it to the video
for frame = 1:num_time_steps
    % Load frame from file
    frame_path = sprintf('frame_%04d.png', frame); % Frame file name (make sure to create frames as PNG files)
    img = imread(frame_path);
    
    % Write frame to the video
    writeVideo(video, img);
end

% Close the video writer
close(video);
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Please note that this is a simplified example and you may need to modify the code to fit your specific requirements, such as defining the size and time step of the simulation grid, applying appropriate boundary conditions, and creating the frames for the movie.

create a movie that shows the propagation of a electromagnetic wave with normal incidence at a plane conducting boundary in matlab

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