Problem 2 Recall the general Fourier/momentum expansion for the electromagnetic vector potential is: A(r, t) = ΣΑΣ, () = eikki-uct) - ( w = clK1 = ck. VV where I, p= 1,2 are orthonormal polarization vectors.
1. In the radiation gauge. · A=0. Show that A = 0 = k p=0. Explain the geometric meaning of this condition. 2. Recall that we obtained in class JAPĀF,t). 34). Use the expansion above for Ār, t) to re-express this as: 2 Hint int = -2 Σ kp=1 Toot - ( VV where JE = | d7e-k#710). 3. Why is
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