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Basic equations in some matter are written by ƏB rot E(x, t) + ·(x, t) = 0, Ət div B(x, t) = 0, dweiwt 1 μ(ω) where L rot B(x, w) fo dweiwt e(w)div E(x, w) = 0, ∞ ∞ Ď(x, w) etwt dw, E(x, t) = dw, iw v² (w) -E(x, w) D(x, t) = Ď(x, W) = c(W)Ẽ(X,W). (B(x,w) = µ(w)Ĥ(x,w) as well) E(x, t) = (x, w)eiwit (w, = (1) (2) 0, (3) (4) (5)
Using the potentials and the Lorenz gauge condition, E(x, t) (x, t) – grad o'(x, t), B(x, t) = rot A'(x, t), iw div Ã'(x, w) + -o'(x, w) = 0, v² (w) derive the wave equations for Ã'(x, w) and $'(x, w). ƏA' Ət = (6) (7) (8)