How do I create a phase plot?

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Daniel Smith
Daniel Smith 2016-11-4
回答： Mahak Nischal 2020-5-5
I'm trying to plot two functions I have defined against each other but I am not getting the result I should be getting. The functions are
y=exp(-1/16*x)*(2*cos(sqrt(1023)/16*x)-382/sqrt(1023)*sin(sqrt(1023)/16*x))+12*sin(2*x)
and
y'=-1/16*exp(-1/16*x)*(2*cos(sqrt(1023)/16*x)-382/sqrt(1023)*sin(sqrt(1023)/16*x))+exp(-1/16*x)*(-sqrt(1023)/8*sin(sqrt(1023)/16*x)-382/16*cos(sqrt(1023)/16*x))+24*cos(2*x)
and I'm trying to create a plot of y' vs y.
I've tried the following code
f = @(x) -1/16*exp(-1/16*x)*(2*cos(sqrt(1023)/16*x)-382/sqrt(1023)*sin(sqrt(1023)/16*x))+exp(-1/16*x)*(-sqrt(1023)/8*sin(sqrt(1023)/16*x)-382/16*cos(sqrt(1023)/16*x))+24*cos(2*x);
g = @(x) exp(-1/16*x)*(2*cos(sqrt(1023)/16*x)-382/sqrt(1023)*sin(sqrt(1023)/16*x))+12*sin(2*x);
fplot(g,f)
and I get a plot that looks like this.
But according to the assignment the plot should look like this.

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回答（2 个）

KSSV
KSSV 2016-11-4
编辑：KSSV 2016-11-4
You would have messed up with derivative of y. Check symbolic differentiation. You enter y, let matlab do derivative for you and then plot. Check symbolic calculations in matlab
Mahak Nischal
Mahak Nischal 2020-5-5
need help in plotting beam phase profile of optical beam having phase a*exp(-phi*1i) where a is the amplitude?

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