But what about a pure monochromatic wave traveling through a dispersive medium?
2.
Subsequently, the modulated pulse is stretched further in the second dispersive medium which has much higher dispersion value.
3.
In the case of a non-dispersive medium, they happen to be equal, but otherwise they are not.
4.
A "'dispersive medium "'is a medium in which waves of different frequencies travel at different velocities.
5.
Clearly the group velocity can be calculated for a monochromatic wave in a dispersive medium and it will be different than the phase velocity.
6.
If a light pulse is propagated through a normally dispersive medium, the result is the higher frequency components travel slower than the lower frequency components.
7.
If a light pulse is propagated through a normally dispersive medium, the result is the higher frequency components slow down more than the lower frequency components.
8.
In any case, the eye is a fairly controlled, non-dispersive medium with a fixed index of refraction so the frequency and wavelength should be directly related.
9.
Due to the Kramers Kronig relations, a linear medium with dispersion also exhibits loss, so the sine wave propagating in a dispersive medium is attenuated in certain frequency ranges that depend upon the medium.
10.
Conversely, if a pulse travels through an anomalously dispersive medium, high frequency components travel faster than the lower ones, and the pulse becomes " negatively chirped ", or " down-chirped ", decreasing in frequency with time.
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