Understanding Wave Phase: A0cosϕ = ℜa0eiϕ

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The discussion clarifies that the equation a0cosϕ = ℜa0eiϕ represents the displacement of a wave, not its phase. The correct expression for the phase of a wave is given by ϕ = kx−ωt+ϕ0. Participants confirm this distinction, leading to a better understanding of wave properties. The clarification helps resolve confusion about wave equations. Overall, the thread emphasizes the importance of accurately distinguishing between displacement and phase in wave mechanics.
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The phase of a wave at (x,t) is a0cosϕ = ℜa0eiϕ.

Where did this come from? I know that the phase of a wave is given by ϕ = kx−ωt+ϕ0 but then I am stuck.

Please help! Thanks :D
 
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hi mps! :smile:
mps said:
The phase of a wave at (x,t) is a0cosϕ = ℜa0eiϕ.

no, that's not the phase, it's the displacement (from x at time t)

the phase is ϕ = kx−ωt+ϕ0 :wink:​
 
Thanks Tiny Tim! i totally get it now :)
 

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