What is longitudinal cohherence?
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Longitudinal Coherence
Definition: Distance over which two waves from the same source point
with slightly different wavelengths will completely dephase.
λ
λ−∆λ
P
2LL
Two waves of slightly different wavelengths
λ and λ − ∆λ are emitted from the same
point in space simultaneously.
After a distance LL, the two waves will be
exactly out of phase and after 2LL they will
once again be in phase.
2LL = Nλ
2LL = (N + 1)(λ − ∆λ)
Nλ = Nλ + λ − N∆λ − ∆λ
0 = λ − N∆λ − ∆λ −→ λ = (N + 1)∆λ −→ N ≈
λ
∆λ
−→ LL =
λ
2
2∆λ
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