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derive the wave equations for Ã'(x, w) and ¹(x, w)

derive the wave equations for Ã'(x, w) and ¹(x, w)

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Basic equations in some matter are written by rot E(x, t) + (x, t) = 0, ƏB Ət div B(x, t) = 0, 1 where ίω = "H(W) [rot B(x, w) - iw E(x, w)]. v² (w) L dweiwt L dwewt (w)div E(x, w) = 0, D(x, t) = (x, w)etwt dw, E(x, t) = (x, w)etwt dw, -∞ Ď(x, w) = e(w)Ẽ(x, w). (B(x,w) = μ(w)(x,w) as well) -∞ Using the potentials and the Lorenz gauge condition, E(x, t) = JA' Ət -(x, t) - grad o'(x, t), B(x, t) = = rot A'(x, t), iw -o'(x, w) = 0, div Ã'(x, w) + v² (w) derive the wave equations for Ã'(x, w) and ¹(x, w). (1) (2) 0, (3) (4) (5) (6) (7) (8)
Transcribed Image Text:Basic equations in some matter are written by rot E(x, t) + (x, t) = 0, ƏB Ət div B(x, t) = 0, 1 where ίω = "H(W) [rot B(x, w) - iw E(x, w)]. v² (w) L dweiwt L dwewt (w)div E(x, w) = 0, D(x, t) = (x, w)etwt dw, E(x, t) = (x, w)etwt dw, -∞ Ď(x, w) = e(w)Ẽ(x, w). (B(x,w) = μ(w)(x,w) as well) -∞ Using the potentials and the Lorenz gauge condition, E(x, t) = JA' Ət -(x, t) - grad o'(x, t), B(x, t) = = rot A'(x, t), iw -o'(x, w) = 0, div Ã'(x, w) + v² (w) derive the wave equations for Ã'(x, w) and ¹(x, w). (1) (2) 0, (3) (4) (5) (6) (7) (8)
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