How to quantize electromagnetic field in media?

blenx
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How to quantize electromagnetic field in media? Especially in the case where the medium is dispersive and anisotropy.
 
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To be honest, I haven't seen or done this yet, but I would suppose that you quantize the electromagnet field is the same way as in vacuum. The main difference could be that you replace the electron-positron field as known from QED by a mean-field approximation, static = infinitly heavy charges or something like that.
 
Does somebody know how to write down the lagrangian for this problem?
 

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