Finding the value of the below curve

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Amy Topaz 2022-4-14

回答： Sam Chak 2022-4-14

How to find the maximum value of the below curve:

z1 = [0.00008 0.009]';
a11 = -4:0.001:4;
k1 = (atan(((0.01/2 + a11)./z1) + atan((0.01/2 - a11)./z1)));
plot(a11,k1(1,:),'-k',a11,k1(2,:),'-r')

KSSV 2022-4-14

Did you try max function?

Sam Chak 2022-4-14

Since the curves are arctangent functions, the max values can be found at the boundary, in this case, that is a11 = 4.

It is important to know that the limit at infinity of the arctangent function is

max_idx = length(a11)
k11_max = k1(1,:)(max_idx)
k12_max = k1(2,:)(max_idx)

k11_max = 1.5708

k12_max = 1.5685

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