Does the Sign of the wt Term in EM Wave Propagation Matter?

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SUMMARY

The discussion centers on the implications of the sign of the wt term in the wave equation for electromagnetic (EM) wave propagation. It is established that the wave function for traveling waves can be expressed as ψ(z,t) = Acos(wt-kz) or E = E0cos(kz-wt), where the sign of the z term determines the direction of propagation. The participants clarify that changing the sign of the wt term does not imply backward time movement; rather, it reflects a spatial direction change. The cosine function's property, cos(x) = cos(-x), confirms that both forms of the wave equation are equivalent.

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We were taught in the vibrations and waves lecture course that the solution to the wave equation for traveling waves is of the form ψ(z,t) = Acos(wt-kz).
In the Electromagnestism course we learned that EM waves are traveling waves and have the solution E = E0cos(kz-wt).

I know that changing the sign of the z term determines the direction of propagation along the z axis, but does that mean that the "-wt" term correspond to moving back in time? Or does the sign of the wt term not matter?

Thanks!
 
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for the cosine function,
cos(kz-wt)= cos(wt-kz)

so it equals the a change of direction in space z.

does it answer you question?
 


I don't understand what enricferni is saying.

cos(x) = cos(-x), right?

So cos(wt-kz) = cos(kz - wt). They mean exactly the same thing.
 

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