Every time I run this code, I get "Error using plot Vectors must be the same length.
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beta= 50*10^-24;
z=linspace(0,100,100);
T_0= 100*10^-12;
T= linspace(-10*T_0,10*T_0,100);
U =((T_0)./sqrt(T_0^2-1i*beta*z)).*exp(-T.^2/(2*(T_0^2-1i*beta*z)));
plot3((T/T_0),U,z)
xlabel('T/T_0')
ylabel('intensity')
zlabel('z')
title('gaussian pulse')
(i want this graph show in attach file)
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Walter Roberson
2024-11-15,6:27
The code does not generate errors about the vectors needing to be the same length.
The code does generate a warning about ignoring the imaginary parts.
If you examine U, you find that it involves sqrt(T_0^2-1i*beta*z) twice. Because of the 1i portion of the calculation, the sqrt() is going to generate complex-valued numbers. So U is going to be complex-valued.
The behavior of plot3() is to treat the code as if you had used real(U)
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Walter Roberson
2024-11-15,6:28
The equation for guassian pulse does not involve complex numbers.
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