Using the definition of the group velocity u, derive Rayleigh 's formula (5 5d) Demonstrate that in the vicinity of lambda lambda ' the velocity u is equal to the segment v ' cut by the tangent of the curve v ( lambda ) at the point lambda ' (Fig 5 36)

Question: Using the definition of the group velocity u, derive Rayleigh's formula (5.5d). Demonstrate that in the vicinity of λ + λ ' the velocity u

Using the definition of the group velocity u, derive Rayleigh's formula (5.5d).
Demonstrate that in the vicinity of λ + λ ' the velocity u is equal to the segment v' cut by the tangent of the curve v (λ) at the point λ' (Fig. 5.36).

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