Imagine that we have a nonabsorbing 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 E_u = E₀ exp iω(t - y/c), show that with the plate in place the observer sees a wave

(b) Show that if either n ‰ˆ 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.

Transcribed Image Text:

Eo exp io [t - (п - 1)Ду/с — у/c] d, E, = E, + о(п — 1)Ду -im/2 - E̟e