A train of plane light waves propagates in the medium where the phase velocity v is a linear function of wavelength v b, where a and b are some positive constants Demonstrate that in such a medium the shape of an arbitrary train of light waves is restored after the time interval 1 b

Question: A train of plane light waves propagates in the medium where the phase velocity v is a linear function of wavelength: v = b, where

A train of plane light waves propagates in the medium where the phase velocity v is a linear function of wavelength: v = bλ, where a and b are some positive constants. Demonstrate that in such a medium the shape of an arbitrary train of light waves is restored after the time interval τ = 1/b.

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