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Find the width of the anomalous dispersion region for the

Chapter 9, Problem 25P

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QUESTION:

Problem 25P

Find the width of the anomalous dispersion region for the case of a single resonance at frequency ω0. Assume γ ≪ ω0. Show that the index of refraction assumes its maximum and minimum values at points where the absorption coefficient is at half-maximum.

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QUESTION:

Problem 25P

Find the width of the anomalous dispersion region for the case of a single resonance at frequency ω0. Assume γ ≪ ω0. Show that the index of refraction assumes its maximum and minimum values at points where the absorption coefficient is at half-maximum.

ANSWER:

Solution 25P

Step 1 of 3:
In this question, we need to find the width of anomalous dispersion region which has single resonance frequency
, assuming

We also need to show the index of refraction assumes it maximum and minimum values at a point where the absorption coefficient is at half maximum

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