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how can we do a fourier transform of continuos elliptical slip distribution?

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%% pescribing the elliptical slip distribution
% Define parameters
Lx = 100; % Length of the fault in x-direction
Nx = 512; % Number of points in x-direction
A = 1; % Maximum slip
a = 20; % Semi-major axis of the ellipse
x0 = Lx / 2; % x-coordinate of the center of the ellipse
% Create spatial grid
x = linspace(0, Lx, Nx);
% Define elliptical slip distribution along x-axis
slip_distribution = A * sqrt(1 - ((x - x0).^2 / a^2));
% Plot the slip distribution
figure
plot(x, slip_distribution, 'LineWidth', 2);
Warning: Imaginary parts of complex X and/or Y arguments ignored.
xlabel('X');
ylabel('Slip');
title('1D Elliptical Slip Distribution');fault
Unrecognized function or variable 'fault'.

Answers (1)

Hassaan
Hassaan on 17 Mar 2024
% Define parameters
Lx = 100; % Length of the fault in x-direction
Nx = 512; % Number of points in x-direction
A = 1; % Maximum slip
a = 20; % Semi-major axis of the ellipse
x0 = Lx / 2; % x-coordinate of the center of the ellipse
% Create spatial grid
x = linspace(0, Lx, Nx);
% Define elliptical slip distribution along x-axis, limiting to non-negative values
slip_distribution = A * sqrt(max(1 - ((x - x0).^2 / a^2), 0));
% Plot the slip distribution
figure;
plot(x, slip_distribution, 'LineWidth', 2);
xlabel('X');
ylabel('Slip');
title('1D Elliptical Slip Distribution');
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