Imagine that we have a non absorbing glass plate of index n and thickness Δy, which stands between a source S and an observer P.
(a) If the unobstructed wave (without the plate present) is Eu = E0 exp iω(t – y/c) show that with the plate in place the observer sees a wave
(b) Show that if either n ≈ 1 or Δy is very small, then
The second term on the right may be envisioned as the field arising from the oscillators in the plate.
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