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## Main Question or Discussion Point

When one calculate the real part of the index of refraction for a specific multilevel atom one would use the following formula:

[tex] Re(n(\Delta))=1+\frac{N e^2}{8\pi \epsilon_0 m\omega} \sum_i \frac{\Delta_i}{\Delta_i^2+(\gamma/2)^2}K_i

[/tex]

Where [itex]K_i[/itex] is the C-G coefficient.

My question is as follow:

How can I calculate this index of refraction in the case of a Raman transition? a.e. in the case where there is a coupling between two fields to create an otherwise forbidden transition.

[tex] Re(n(\Delta))=1+\frac{N e^2}{8\pi \epsilon_0 m\omega} \sum_i \frac{\Delta_i}{\Delta_i^2+(\gamma/2)^2}K_i

[/tex]

Where [itex]K_i[/itex] is the C-G coefficient.

My question is as follow:

How can I calculate this index of refraction in the case of a Raman transition? a.e. in the case where there is a coupling between two fields to create an otherwise forbidden transition.