How to plot a function in the complex plane?

Question

Kelsey 2014-1-22

1
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/113220-how-to-plot-a-function-in-the-complex-plane

评论： Kelsey 2014-1-22

How would I plot the function F = R*exp(i*theta)

where F, R, and theta are functions of w, and i is an imaginary number?

I'm just confused where to start…like how to define w and where to go from there. I'm also confused how to actually have MATLAB plot it correctly in the complex plane (i.e., on the Real and Imaginary axes).

Thanks so much, in advance!

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Answer 1

Walter Roberson 2014-1-22

1
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https://ww2.mathworks.cn/matlabcentral/answers/113220-how-to-plot-a-function-in-the-complex-plane#answer_121766

在 MATLAB Online 中打开

To check, you effectively have

F = @(w) R(w) .* exp(i * theta(w));

where R and theta are functions?

w = linspace(-pi, pi, 101);
result = F(w);

After that you need to decide how you want to represent the complex plane. There is no inherent ability to plot in the complex plane as humans cannot see into the complex plane. But you can do things like,

plot(w(:), [real(w(:)), imag(w(:))])