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# July21 - Whe ve two portions of thesam light arriveat thee...

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Whenever two portions of thesamelight arriveat theeye by different routes, either exactly or very nearly in the same direction, thelight becomes most when thedifference of theroutes is any multiple of a certain length, and theleast intensein the intermediatestateof interfering portions; and this length is different for light of different colour. T. Young from a paper to the Royal Society in 1802
s 1 s 2 Along thecenter line, it is obvious that thedistances to two sources are identical. | r 1 -r 2 | = 0 and constructive int.    P θ dsin θ | r 1 - r 2 | = dsin θ = m λ ConstructiveInt. = (2m + 1) λ /2 Destructive Int. Interference phenomena ↔ Pathlength difference

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s =d(x/h) = m λ (0, ± λ , ± 2 λ , …) Constructive (m+1) λ /2 (± λ /2, ±3 λ /2,…) Destructive d(x/h) = m λ x = m(h/d) λ for constructiveint.   d h x 0 1 1 2 2 3 3 2 nd -order bright fringe 2 nd  bright fringe
Huygen’s principle : Each point on a wavefront acts as a new Source of identical waves. 0

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July21 - Whe ve two portions of thesam light arriveat thee...

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