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hello so now we are going to look at the frequency dependence of the real and imaginary parts of the refractive index i have simply borrowed these two expressions from my previous lecture you can clearly see that what we are discussing now or focusing now is on this dispersive aspect that is the frequency dependence of these quantities if you look at both the expressions they share a common denominator you can clearly see where you see that the real part as well as the imaginary part had has this omega naught minus omega whole square and plus beta square right this is a common denominator clearly there is dramatic change in the frequency dependence when omega equals to omega naught because the denominator becomes the smallest and hence the response becomes the largest we will of course look at both these quantities separately so let me first begin with the imaginary part of the refractive index so clearly you see i have plotted here the the frequency dependence and what i am plotting o