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Question: How to plot a complex electromagnetic wave in 3D?

Question:How to plot a complex electromagnetic wave in 3D?

XTRdigital 5 Maple
plot complexplot3d
April 26 2017
1

I have a complex function for both the electric and magnetic fields for 2 laser pluses colliding they are only 2 dimensions z,t;

E(z,t) := -I*a*exp(-(z-Z+t)^2/sigma^2)*sin(omega*(z-Z+t))+a*exp(-(z+Z-t)^2/sigma^2)*sin(omega*(z+Z-t))

B(z,t) := -a*exp(-(z-Z+t)^2/sigma^2)*sin(omega*(z-Z+t))+I*a*exp(-(z+Z-t)^2/sigma^2)*sin(omega*(z+Z-t))

Where a,omega, sigma are real constants and Z is the initial offset for the pluses,

I would like to plot them together with there real and imaginary parts on two axes and then extended along the z direction, if possible I would like to animate them. To hopefully get a moving plot like this except it's a laser pluse not a continuous wave,
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