# Create a 2D grid to map points over a transformation?

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Shovnik Paul on 10 Feb 2022
Edited: Shovnik Paul on 10 Feb 2022 I am trying to create two plots: one showing a grid on the top and the second showing a transformation applied to every point on the grid (bottom). Till now I have been able to figure out the following way which only works when the x and y ranges are symmetric:
x = linspace(-5, 5, 10);
y = linspace(-5, 5, 100);
[X, Y]= meshgrid(x, y);
figure
plot(X, Y, 'blue', Y, X, 'blue'); Z = X + i*Y;
W = Z.^2; % f(z) = z^2 for example
figure
plot(W, 'blue')
Z = Y + i*X;
W = Z.^2;
hold on;
plot(W, 'blue') So far so good but say I want to create grid that is asymetrical with regards to the axes ranges. For example, the normalized impedance of a transmission line z = r + ix which can only have positive resistance r. Say want a grid in the region 0 < r < 10 and -10 < x < 10 with lines at intervals of 1 say. Is there a general way of doing this? (and perhas a better way of doing the above?)

R2018a

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