Photon branch at low wave vector (a) Find what (56) becomes when () is taken into account.

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Photon branch at low wave vector 

(a) Find what (56) becomes when ε(∞) is taken into account. 

(b) Show that there is a solution of (55) which at low wave vector is w = cK/√ε(0), as expected for a photon in a crystal of refractive index n2 = ε.

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