Let's say I have manufactured a prism from a non-dispersive medium, then light coming from air incident on the prism wouldn't split into colours, right? I mean light still changes direction, but all colours would change direction by the same amount.
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1$\begingroup$ You are correct. $\endgroup$– Wolphram jonnyCommented Jan 3 at 23:54
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1$\begingroup$ Unless you consider that air is slightly dispersive. But usually we approximate air as free space $n=1$. So in that approximation yes the prism wouldn't split light into different colors. $\endgroup$– AXensenCommented Jan 4 at 0:49
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In this hypothetical question, you're correct if the index of refraction does not change as a function of wavelength of light, then the angle of refraction for all the wavelengths will be the same for all wavelengths and hence no dispersion.
However, the Kramers-Kronig relation requires that there be some dispersion.