How do I set some variables of a function to a constant and plot the others?

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Zachary
Zachary 2022-10-25
评论： Davide Masiello 2022-10-25
I defined a function Theta of two variables. What is the simplest way to set one variable to a constant and make a 2D plot using the other variable? For instance, I would like to set Delta = 1 and plot Theta(E,1) over E -3:.001:3?
function Theta = Theta(E,Delta)
if abs(E)<Delta
Theta = pi/2 + 1i*atanh(E/Delta);
elseif abs(E)>Delta
Theta = 1i*atanh(E/Delta);
end
end

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Davide Masiello
Davide Masiello 2022-10-25
编辑：Davide Masiello 2022-10-25
Ran in:
This is a possibility
E = -3:.001:3;
plot(E,Theta(E,1))
Warning: Imaginary parts of complex X and/or Y arguments ignored.
function out = Theta(E,Delta)
out = zeros(size(E));
out(abs(E)<=Delta) = pi/2+1i*atanh(E(abs(E)<=Delta)/Delta);
out(abs(E)>Delta) = 1i*atanh(E(abs(E)>Delta)/Delta);
end
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Davide Masiello
Davide Masiello 2022-10-25
Sorry for the slow response, I don't have anything to add to John's extensive explanation.
Just mind that the function as it is now works only in case you want to keep delta constant and plot theta vs E.
More robust codes can be implemented depending on your needs.
Lastly, if you think the answer is comprehensive enough and helped, please consider accepting it.
Cheers

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